How many electrons pass in 10 seconds through the cross-section of a conductor with a current
How many electrons pass in 10 seconds through the cross-section of a conductor with a current power of 150W and a voltage of 220V?
t = 10 s.
N = 150 W.
U = 220 V.
q = 1.6 * 10 ^ -19 Cl.
n -?
The number of electrons n is found by the formula: n = Q / q, where Q is the charge that has passed through the cross section of the conductor, q is the charge of one electron.
The current power N is expressed by the formula: N = U * I, where U is the voltage, I is the current strength.
According to the definition, the current strength I is the charge that has passed per unit of time through the cross-section of the conductor: I = Q / t.
N = U * Q / t.
The electric charge Q will be expressed by the formula: Q = N * t / U.
n = N * t / q * U.
n = 150 W * 10 s / 1.6 * 10 ^ -19 C * 220 V = 4.26 * 10 ^ 19.
Answer: n = 4.26 * 10 ^ 19 electrons pass through the cross section of the conductor.