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10TH GRADE · DIRECT CURRENT

Current work and electrical circuits

Work, power, heat, electrolysis and resistor connections.

32 minutes24 theory cards
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LESSON MATERIAL

Basic Concepts

4

Joule-Lenz law

The law of heat release by electric current in a conductor.

Electrical energy is converted into internal energy: with constant current, heat grows especially quickly with increasing current.

Electrolysis

The release of a substance on the electrodes when current passes through the electrolyte.

The amount of released substance is determined by the passed charge q = It and the electrochemical equivalent of the substance.

Series connection of resistors

A connection of resistors without branching, in which the same current passes through them.

The current through the elements is the same, the voltages add up, and the total resistance is equal to the sum of the resistances.

Parallel connection of resistors

A connection of resistors between two common nodes such that they have the same voltage.

The voltage of the branches is the same, the total current is divided between them, and the equivalent resistance is less than the smallest of the branches.

LESSON MATERIAL

Physical quantities

7

Electric current power

PP

Electrical energy transferred per unit of time.

Unit: watt · Vt\mathrm{Vt}

Heat of current

QQ

Energy released by current in the form of heat.

Unit: joule · Dzh\mathrm{Dzh}

Current source efficiency

η\eta

The fraction of source power transferred to the external circuit.

Unit: dimensionless quantity

Electrochemical equivalent

kk

The mass of a substance released by a charge of one coulomb.

Unit: kilogram per pendant · kgKl\frac{\mathrm{kg}}{\mathrm{Kl}}

Temperature coefficient of resistance

α\alpha

Relative change in resistance when heated by one degree.

Unit: reverse kelvin · 1K\frac{1}{\mathrm{K}}

Resistance at zero temperature

R0R_0

The reference resistance of a conductor at zero degrees Celsius.

Unit: ohm · Om\mathrm{Om}

Number of identical resistors

nn

The number of identical resistors in the connection.

Unit: dimensionless quantity

LESSON MATERIAL

Lesson formulas

13

Work of electric current

A=Uq=UIt=I2Rt=U2Rt=PtA=Uq=UIt=I^2Rt=\frac{U^2}{R}t=Pt

The work done by current can be expressed in terms of charge, current, voltage, resistance, power and time.

Equivalent Energy Units

1Dzh=1Vts=1VKl1\,\mathrm{Dzh}=1\,\mathrm{Vt}\cdot\mathrm{s}=1\,\mathrm{V}\cdot\mathrm{Kl}

A joule is equal to a watt-second and a volt-coulomb.

Electric current power

P=IU=I2R=U2R=AtP=IU=I^2R=\frac{U^2}{R}=\frac{A}{t}

Power can be calculated by current, voltage, resistance or work.

Watt through Volts and Amperes

1Vt=1VA1\,\mathrm{Vt}=1\,\mathrm{V}\cdot\mathrm{A}

One watt is equal to one volt-ampere.

Joule-Lenz law

Q=I2RtQ=I^2Rt

The heat of the current is proportional to the square of the current, resistance and time.

Current source efficiency

η=RR+r\eta=\frac{R}{R+r}

The efficiency of the source is equal to the proportion of the total resistance attributable to the external circuit.

Faraday's law for electrolysis

m=kItm=kIt

The mass of the released substance is proportional to the charge passing through the electrolyte.

Dependence of resistance on temperature

R=R0(1+αt)R=R_0(1+\alpha t)

The resistance of a metal increases approximately linearly with temperature.

Series connection of resistors

I1=I2=I,R=R1+R2,U=U1+U2I_1=I_2=I,\quad R=R_1+R_2,\quad U=U_1+U_2

In a series connection, the current is the same, resistance and voltage are added.

Identical resistors in series

R=nR1R=nR_1

The total resistance of identical series resistors is equal to the resistance of one multiplied by the number of resistors.

Parallel connection of resistors

I=I1+I2,U1=U2=U,1R=1R1+1R2I=I_1+I_2,\quad U_1=U_2=U,\quad\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}

In a parallel connection, the currents add up, the voltage is the same, and the conductivities add up.

Two resistors in parallel

R=R1R2R1+R2R=\frac{R_1R_2}{R_1+R_2}

The equivalent resistance of two parallel resistors is equal to the product divided by the sum.

Identical resistors in parallel

R=R1nR=\frac{R_1}{n}

The total resistance of identical parallel resistors is equal to the resistance of one divided by their number.

DIRECTORY

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PRACTICE

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