What is the work done by an electric current in a conductor in 2 minutes if the resistance of the conductor

What is the work done by an electric current in a conductor in 2 minutes if the resistance of the conductor is 20 ohms? The voltage between the ends of the conductor is 10V.

Given:

U = 10 Volts – voltage between the ends of the conductor;

R = 20 Ohm – conductor resistance;

t = 2 minutes – time span.

It is required to determine A (Joule) – the work of an electric current for a time interval t.

Let’s convert time units from minutes to seconds:

t = 2 minutes = 2 * 60 = 120 seconds.

Let’s find the current strength:

I = U / R = 10/20 = 0.5 Ampere.

Let’s find the power of the current:

W = U * I = 10 * 0.5 = 5 watts.

Then the work will be equal to:

A = W * t = 5 * 120 = 600 Joules.

Answer: The work done by the current is 600 Joules.