What amount of heat will be released in the conductor in 1 minute if 10 ^ 20 electrons flow through the cross

What amount of heat will be released in the conductor in 1 minute if 10 ^ 20 electrons flow through the cross section every second and the voltage at the ends of the conductor is 20 V.

Data: t (duration of current flow through the conductor) = 1 min (60 s); n1 (the number of electrons passing through the conductor in 1 s) = 10 ^ 20 electrons; U (voltage at the ends of the conductor) = 20 V.

Constants: e (value of the electron charge) = 1.6 * 10 ^ -19 Cl.

1) Determine the current in the conductor: I = q / t1 = n1 * e / t1 = 10 ^ 20 * 1.6 * 10 ^ -19 / 1 = 16 A.

2) Let’s calculate the released amount of heat: Q = I * U * t = 16 * 20 * 60 = 19,200 J (19.2 kJ).

Answer: 19.2 kJ of heat will be released on the conductor.