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What is the q formula. Physics formulas. Uniform motion speed

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Formulas form the backbone of electronics science. Instead of dumping a whole bunch of radio elements on the table and then reconnecting them together, trying to figure out what will come into being as a result, experienced specialists immediately build new circuits based on known mathematical and physical laws. It is the formulas that help determine the specific values ​​​​of the ratings of electronic components and the operating parameters of the circuits.

In the same way, it is effective to use formulas to modernize ready-made circuits. For example, in order to select the correct resistor in a circuit with a light bulb, you can apply the basic Ohm's law for direct current (you can read about it in the Ohm's Law Relations section immediately after our lyrical introduction). The light bulb can be made, thus, to shine more brightly or, conversely, to dim.

In this chapter, many of the basic formulas of physics will be given, which one has to face sooner or later in the process of working in electronics. Some of them have been known for centuries, but we still continue to use them successfully, as will our grandchildren.

Ohm's Law Relationships

Ohm's law is the relationship between voltage, current, resistance and power. All derived formulas for calculating each of the indicated quantities are presented in the table:

This table uses the following conventions physical quantities:

U- voltage (V),

I- current (A),

R- Power, W),

R- resistance (Ohm),

Let's practice on the following example: let's find the power of the circuit. It is known that the voltage at its terminals is 100 V, and the current is 10 A. Then the power, according to Ohm's law, will be 100 x 10 = 1000 W. The resulting value can be used to calculate, say, the fuse rating that needs to be inserted into the device, or, for example, to estimate the electricity bill that the electrician from the housing office will personally bring to you at the end of the month.

And here's another example: let's find out the value of the resistor in the circuit with a light bulb, if we know what current we want to pass through this circuit. According to Ohm's law, the current is:

I=U/R

A circuit consisting of a light bulb, a resistor and a power source (battery) is shown in the figure. Using the above formula, even a schoolboy can calculate the desired resistance.

What is in this formula? Let's take a closer look at variables.

> U pet(sometimes also referred to as V or E): supply voltage. Due to the fact that when current passes through the light bulb, some voltage drops on it, the magnitude of this drop (usually the operating voltage of the light bulb, in our case 3.5 V) must be subtracted from the power supply voltage. For example, if Upit \u003d 12 V, then U \u003d 8.5 V, provided that 3.5 V drops on the light bulb.

> I: The current (measured in amps) that is going to flow through the light bulb. In our case, 50 mA. Since the current is indicated in the formula in amperes, 50 milliamps is only a small part of it: 0.050 A.

> R: the desired resistance of the current-limiting resistor, in ohms.

In continuation, you can put real numbers in the resistance calculation formula instead of U, I and R:

R \u003d U / I \u003d 8.5 V / 0.050 A \u003d 170 Ohm

Resistance calculations

Calculating the resistance of one resistor in a simple circuit is quite simple. However, with the addition of other resistors, in parallel or in series, the total resistance of the circuit also changes. The total resistance of several resistors connected in series is equal to the sum of the individual resistances of each of them. For a parallel connection, things are a little more complicated.

Why should you pay attention to how the components are connected to each other? There are several reasons for that.

> Resistors are only a certain fixed number of values. In some circuits, the resistance value must be calculated exactly, but since a resistor of exactly this value may not exist at all, it is necessary to connect several elements in series or in parallel.

> Resistors are not the only components that have resistance. For example, the windings of an electric motor also have some current resistance. In many practical problems, it is necessary to calculate the total resistance of the entire circuit.

Calculation of the resistance of series resistors

The formula for calculating the total resistance of resistors connected in series is obscenely simple. You just need to add up all the resistances:

Rtot = Rl + R2 + R3 + ... (as many times as there are elements)

In this case, the values ​​Rl, R2, R3 and so on are the resistances of individual resistors or other components of the circuit, and Rtot is the resulting value.

So, for example, if there is a circuit of two resistors connected in series with nominal values ​​of 1.2 and 2.2 kOhm, then the total resistance of this section of the circuit will be 3.4 kOhm.

Parallel Resistors Calculation

Things get a little more complicated if you want to calculate the resistance of a circuit consisting of parallel resistors. The formula takes the form:

Rtot = R1 * R2 / (R1 + R2)

where R1 and R2 are the resistances of individual resistors or other circuit elements, and Rtot is the resulting value. So, if we take the same resistors with ratings of 1.2 and 2.2 kOhm, but connected in parallel, we get

776,47 = 2640000 / 3400

To calculate the resulting resistance electrical circuit of three or more resistors, the following formula is used:

Capacity calculations

The formulas given above are also valid for calculating capacities, only exactly the opposite. Just like resistors, they can be extended to any number of components in a circuit.

Calculation of capacitance of parallel capacitors

If you need to calculate the capacitance of a circuit consisting of parallel capacitors, you just need to add their values:

Сtot \u003d CI + C2 + SZ + ...

In this formula, CI, C2 and C3 are the capacitances of individual capacitors, and Ctot is a summing value.

Calculation of capacitance of series capacitors

To calculate the total capacitance of a pair of capacitors connected in series, the following formula is used:

Сtot \u003d C1 * C2 / (C1 + C2)

where C1 and C2 are the capacitance values ​​of each of the capacitors, and Ctot is the total capacitance of the circuit

Calculation of the capacitance of three or more capacitors connected in series

Are there any capacitors in the circuit? A lot of? It's okay: even if they are all connected in series, you can always find the resulting capacitance of this circuit:

So why knit several capacitors in series at once when one could be enough? One of the logical explanations for this fact is the need to obtain a specific circuit capacitance rating, which has no analogue in the standard range of ratings. Sometimes you have to go more thorny path, especially in sensitive circuits such as radio receivers.

Calculation of energy equations

The most widely used unit of energy in practice is kilowatt-hours or, if it concerns electronics, watt-hours. You can calculate the energy expended by the circuit by knowing the length of time during which the device is turned on. The formula for calculating is:

watt hours = P x T

In this formula, the letter P denotes the power consumption, expressed in watts, and T is the operating time in hours. In physics, it is customary to express the amount of energy expended in watt-seconds, or Joules. To calculate energy in these units, watt-hours are divided by 3600.

Calculation of the constant capacity of the RC chain

Electronic circuits often use RC circuits to provide time delays or lengthening of pulsed signals. The simplest circuits consist of just a resistor and a capacitor (hence the origin of the term RC circuit).

The principle of operation of an RC circuit is that a charged capacitor is discharged through a resistor not instantly, but over a certain period of time. The greater the resistance of the resistor and / or capacitor, the longer it will take to discharge the capacitance. Circuit designers often use RC circuits to create simple timers and oscillators or to change waveforms.

How can you calculate the time constant of an RC circuit? Because this circuit consists of a resistor and a capacitor, the equation uses the resistance and capacitance values. Typical capacitors have a capacitance of the order of microfarads and even less, and farads are the system units, so the formula operates with fractional numbers.

T=RC

In this equation, T is the time in seconds, R is the resistance in ohms, and C is the capacitance in farads.

Suppose, for example, there is a 2000 ohm resistor connected to a 0.1 uF capacitor. The time constant of this chain will be 0.002 s, or 2 ms.

In order to make it easier for you at first to convert ultra-small capacitance units to farads, we have compiled a table:

Frequency and Wavelength Calculations

The frequency of a signal is inversely proportional to its wavelength, as will be seen from the formulas below. These formulas are especially useful when working with radio electronics, for example, to estimate the length of a piece of wire that is planned to be used as an antenna. In all of the following formulas, wavelength is expressed in meters and frequency is expressed in kilohertz.

Signal frequency calculation

Suppose you want to study electronics so that you can build your own transceiver and chat with fellow enthusiasts from another part of the world over an amateur radio network. The frequencies of radio waves and their length are in the formulas side by side. In amateur radio networks, you can often hear statements that the operator works on such and such a wavelength. Here's how to calculate the frequency of a radio signal given the wavelength:

Frequency = 300000 / wavelength

The wavelength in this formula is expressed in millimeters, not feet, arshins, or parrots. The frequency is given in megahertz.

Signal Wavelength Calculation

The same formula can be used to calculate the wavelength of a radio signal if its frequency is known:

Wavelength = 300000 / Frequency

The result will be expressed in millimeters, and the frequency of the signal is indicated in megahertz.

Let's give an example of calculation. Let a radio amateur communicate with his friend at a frequency of 50 MHz (50 million periods per second). Substituting these numbers into the above formula, we get:

6000 millimeters = 300000/ 50 MHz

However, more often they use system units of length - meters, therefore, to complete the calculation, it remains for us to translate the wavelength into a more understandable value. Since there are 1000 millimeters in 1 meter, the result will be 6 m. It turns out that the radio amateur tuned his radio station to a wavelength of 6 meters. Cool!

In order to successfully prepare for the CT in Physics and Mathematics, among other things, three critical conditions must be met:

  1. Study all the topics and complete all the tests and tasks given in the study materials on this site. To do this, you need nothing at all, namely: to devote three to four hours every day to preparing for the CT in physics and mathematics, studying theory and solving problems. The fact is that the CT is an exam, where it is not enough just to know physics or mathematics, you also need to be able to quickly and without failures solve a large number of tasks for different topics and varying complexity. The latter can only be learned by solving thousands of problems.
  2. Learn all formulas and laws in physics, and formulas and methods in mathematics. In fact, it is also very simple to do this, there are only about 200 necessary formulas in physics, and even a little less in mathematics. In each of these subjects there are about a dozen standard methods for solving problems of a basic level of complexity, which can also be learned, and thus, completely automatically and without difficulty, solve most of the digital transformation at the right time. After that, you will only have to think about the most difficult tasks.
  3. Attend all three stages of rehearsal testing in physics and mathematics. Each RT can be visited twice to solve both options. Again, on the CT, in addition to the ability to quickly and efficiently solve problems, and the knowledge of formulas and methods, it is also necessary to be able to properly plan time, distribute forces, and most importantly fill out the answer form correctly, without confusing either the numbers of answers and tasks, or your own name. Also, during the RT, it is important to get used to the style of posing questions in tasks, which may seem very unusual to an unprepared person on the DT.

Successful, diligent and responsible fulfillment of these three points, as well as responsible study of the final training tests, will allow you to show an excellent result on the CT, the maximum of what you are capable of.

Found an error?

If you, as you think, have found an error in the training materials, then please write about it at email(). In the letter, indicate the subject (physics or mathematics), the name or number of the topic or test, the number of the task, or the place in the text (page) where, in your opinion, there is an error. Also describe what the alleged error is. Your letter will not go unnoticed, the error will either be corrected, or you will be explained why it is not a mistake.

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1 Formulas in physics that are recommended to be learned and mastered well for successful passing the exam. Version: 0.92β. Compiled by: Vaulin D.N. References: 1. Peryshkin A.V. Physics grade 7. Tutorial for educational institutions. 13th edition, stereotypical. Moscow. Bustard Peryshkin A.V. Physics grade 8. Textbook for educational institutions. 12th edition, stereotypical. Moscow. Bustard Peryshkin A.V., Gutnik E.M. Physics grade 9. Textbook for educational institutions. 14th edition, stereotypical. Moscow. Bustard Myakishev G.Ya. etc. Physics. Mechanics grade 10. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Molecular physics. Thermodynamics grade 10. profile level. Textbook for educational institutions. 13th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z., Slobodskov B.A. Physics. Electrodynamics classes. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Oscillations and waves Grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Optics. The quantum physics Grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Formulas in bold are worth learning when formulas not highlighted in bold are already perfectly mastered. 7th grade. 1. average speed: 2. Density: 3. Hooke's Law: 4. Gravity:

2 5. Pressure: 6. Liquid column pressure: 7. Archimedean force: 8. Mechanical work: 9. Work power: 10. Moment of force: 11. Coefficient of performance (COP) of the mechanism: 12. Potential energy at a constant: 13. Kinetic energy: 8 class. 14. The amount of heat required for heating: 15. The amount of heat released during combustion: 16. The amount of heat required for melting:

3 17. Relative air humidity: 18. Amount of heat required for vaporization: 19. Efficiency of a heat engine: 20. Useful work of a heat engine: 21. Law of conservation of charge: 22. Current: 23. Voltage: 24. Resistance: 25. Total resistance of the series connection of conductors: 26. Total resistance of the parallel connection of conductors: 27. Ohm's law for the circuit section:

4 28. Power electric current: 29. Joule-Lenz law: 30. Light reflection law: 31. Light refraction law: 32. Optical power of the lens: class 9. 33. Dependence of speed on time with uniformly accelerated motion: 34. Dependence of the radius vector on time with uniformly accelerated motion: 35. Newton's second law: 36. Newton's third law: 37. Law gravity:

5 38. Centripetal acceleration: 39. Momentum: 40. Law of energy change: 41. Relationship between period and frequency: 42. Relationship between wavelength and frequency: 43. Law of momentum change: 44. Ampère's law: 45. Energy magnetic field current: 46. Transformer formula: 47. RMS current: 48. RMS voltage:

6 49. Capacitor charge: 50. Flat capacitor capacitance: 51. Total capacitance of capacitors connected in parallel: 52. Energy electric field capacitor: 53. Thompson's formula: 54. Photon energy: 55. Absorption of a photon by an atom: 56. Relationship between mass and energy: 1. Absorbed radiation dose: 2. Equivalent radiation dose:

7 57. Law of radioactive decay: Grade 10. 58. Angular velocity: 59. Relationship of speed with angular: 60. The law of addition of velocities: 61. Sliding friction force: 62. Resting friction force: 3. Environmental resistance force: [ 63. Potential energy of an extended spring: 4. Radius vector of the center of mass :

8 64. Amount of substance: 65. Mendeleev-Clapeyron equation: 66. Basic equation of molecular kinetic theory: 67. Particle concentration: 68. Relationship between average kinetic energy of particles and gas temperature: 69. Gas internal energy: 70. Gas work: 71 First law of thermodynamics: 72. Efficiency of Carnot machine: 5. Thermal linear expansion: 6. Thermal volumetric expansion:

9 73. Coulomb's law: 74. Electric field strength: 75. Electric field strength of a point charge: 7. Electric field strength flux: 8. Gauss theorem: 76. Potential charge energy at constant: 77. Potential energy of interaction of bodies: 78. Potential energy of interaction of charges: 79. Potential: 80. Potential difference: 81. Relation of the intensity of a homogeneous electric field and voltage:

10 82. Total capacitance of series-connected capacitors: 83. Dependence of resistivity on temperature: 84. Kirchhoff's first rule: 85. Ohm's law for a complete circuit: 86. Kirchhoff's second rule: 87. Faraday's law: class 11. 9. Law of Biot-Savart-Laplace: 10. Magnetic induction of an endless wire: 88. Lorentz force:

11 89. Magnetic flux: 90. Law electromagnetic induction: 91. Inductance: 92. Dependence of a value that changes according to a harmonic law on time: 93. Dependence of the rate of change of a value that changes according to a harmonic law on time: 94. Dependence of the acceleration of a change of a value that changes according to a harmonic law on time: 95. Period of oscillation of a filament pendulum: 96. Oscillation period spring pendulum: 11. Capacitance: 12. Inductive reactance:

12 13. Resistance for alternating current: 97. Thin lens formula: 98. Interference maximum condition: 99. Interference minimum condition: 14. Lorentz transformation of coordinates: 15. Lorentz transformation of time: 16. Relativistic law of addition of velocities: 100. Dependence of body mass on speed: 17. Relativistic connection between energy and momentum:

13 101. Photoelectric effect equation: 102. Photoelectric effect red border: 103. De Broglie wavelength:


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The session is approaching, and it's time for us to move from theory to practice. Over the weekend, we sat down and thought that many students would do well to have a collection of basic physics formulas handy. Dry formulas with explanation: short, concise, nothing more. A very useful thing when solving problems, you know. Yes, and in the exam, when exactly what was cruelly memorized the day before can “jump out” of my head, such a selection will serve you well.

Most of the tasks are usually given in the three most popular sections of physics. This Mechanics, thermodynamics And Molecular physics, electricity. Let's take them!

Basic formulas in physics dynamics, kinematics, statics

Let's start with the simplest. Good old favorite rectilinear and uniform movement.

Kinematic formulas:

Of course, let's not forget about the movement in a circle, and then move on to the dynamics and Newton's laws.

After the dynamics, it's time to consider the conditions for the equilibrium of bodies and liquids, i.e. statics and hydrostatics

Now we give the basic formulas on the topic "Work and energy". Where would we be without them!


Basic formulas of molecular physics and thermodynamics

Let's finish the section of mechanics with formulas for vibrations and waves and move on to molecular physics and thermodynamics.

Efficiency, Gay-Lussac's law, the Clapeyron-Mendeleev equation - all these sweet formulas are collected below.

By the way! There is a discount for all our readers 10% on any kind of work.


Basic formulas in physics: electricity

It's time to move on to electricity, although thermodynamics loves it less. Let's start with electrostatics.

And, to the drum roll, we finish with the formulas for Ohm's law, electromagnetic induction and electromagnetic oscillations.

That's all. Of course, a whole mountain of formulas could be given, but this is useless. When there are too many formulas, you can easily get confused, and then completely melt the brain. We hope that our cheat sheet of basic formulas in physics will help you solve your favorite problems faster and more efficiently. And if you want to clarify something or did not find it desired formula: ask the experts student service. Our authors keep hundreds of formulas in their heads and click tasks like nuts. Contact us, and soon any task will be "too tough" for you.