Find the work of the current for 1 minute and the current power if the resistance of the circuit is 0.1 kOhm
Find the work of the current for 1 minute and the current power if the resistance of the circuit is 0.1 kOhm, and the voltage at the ends of the circuit is 0.1 kV.
t = 1 min = 60 s.
R = 0.1 kΩ = 100 Ω.
U = 0.1 kV = 100 V.
A -?
N -?
We express the work of the electric current in the conductor A by the Joule-Lenz law: A = U2 * t / R, where U is the potential difference at its ends, t is the time of current passage through the conductor, R is the resistance of the conductor.
A = (100 V) ^ 2 * 60 s / 100 Ohm = 6000 J = 6 * 10 ^ 3 J = 6 kJ.
The power of the current is called the speed of execution of the current by the robots and is determined by the formula: N = A / t = U ^ 2 * t / R * t = U ^ 2 / R.
N = (100V) ^ 2 / 100Ω = 100W.
Answer: the work of the electric current is A = 6 kJ, the current power is N = 100 W.