Determine the resistance of the resistor if in 10 minutes an electric charge of 300
| September 16, 2021 | education
Determine the resistance of the resistor if in 10 minutes an electric charge of 300 C passes through it, while a work of 3000 J.
t = 10 min = 600 s.
q = 300 Cl.
A = 3000 J.
R -?
We write down the Joule-Lenz law for the operation of an electric current: A = I ^ 2 * R * t, where I is the current in the conductor, R is the resistance of the conductor, t is the time of passage of the current through the conductor.
R = A / I ^ 2 * t.
According to the definition, the current strength I is called the ratio of the electric charge q passed through the cross section of the conductor to the time of its passage t: I = q / t.
R = A * t ^ 2 / q ^ 2 * t = A * t / q ^ 2.
R = 3000 J * 600 s / (300 C) ^ 2 = 20 Ohm.
Answer: the conductor has a resistance R = 20 ohms.
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