☰ Contents · Physics

Work and power of current

Lessons 30–31 · 2 lessons · P.Q. Habibullayev, A. Boydedayev, A.D. Bahromov, J.E. Usarov, K.T. Suyarov, M.K. Yuldasheva. Physics, textbook for Grade 8 of general secondary schools, revised and enlarged 3rd edition. “O‘qituvchi” Publishing and Printing Creative House, Tashkent, 2019
30

Work of electric current

Textbook: pp. 88–89
GoalKnow the work of current A = IUt and its other forms, and use the joule as the unit of work.
New words
work of current · tokning ishijoule · joulA = IUt · A = IUtenergy conversion · energiyaning o‘zgarishi
Explanation

When an electric field moves charges along a conductor it does work; this is called the work of the current. Moving a charge q at voltage U takes the work A = qU, and since I = q/t, A = IUt. The work of the current is directly proportional to the current, the voltage and the time. Using Ohm’s law it can also be written as A = I²Rt and A = U²t/R. The unit of work is the joule: 1 J = 1 V · 1 A · 1 s. The amount of work equals the electrical energy converted into other forms (heat, light, mechanical). The work of the current can be measured with an ammeter, a voltmeter and a clock. Experiments with the mains (220 V) are not allowed — do the calculations in your notebook only.

Worked examples
I = 2 A, U = 10 V, t = 30 s: A = I·U·t = 2 · 10 · 30 = 600 J.
R = 20 Ω, I = 0.5 A, t = 10 s: A = I²Rt = 0.5² · 20 · 10 = 0.25 · 200 = 50 J.
Class activity

On paper make a table: for 3 given cases of I, U and t calculate A. Do not connect any device.

Practice
1
State the formula for the work of current and give its unit.
2
U = 12 V, I = 3 A, t = 20 s. The work of the current in J?
3
R = 10 Ω, I = 2 A, t = 5 s. A = I²Rt in J?
4
Why do A = IUt and A = qU express the same thing?