Finding the energy supplied by an electric current is crucial in understanding and quantifying electrical energy consumption. The equation commonly used for this purpose is W = IVt, where W represents the energy supplied, I is the current flowing through the circuit, V is the potential difference (voltage) across the circuit, and t is the time for which the current flows.

The equation W = IVt is derived from the fundamental relationship between electrical power, current, voltage, and time. Power (P) is defined as the rate at which energy is transferred or consumed, and it can be calculated as the product of current and voltage, P = IV. Multiplying this power by time (t), we obtain the energy supplied or consumed, which is given by the equation W = IVt.

To calculate the energy supplied by an electric current, we need to know the values of current (I), voltage (V), and time (t). Current is measured in amperes (A), voltage is measured in volts (V), and time is measured in seconds (s).

For example, let's consider a scenario where a circuit has a constant current of 2 amperes (A) flowing through it, a voltage of 12 volts (V) across the circuit, and the current flows for a duration of 10 seconds (s). Using the equation W = IVt, we can calculate the energy supplied as follows:

W = (2 A) * (12 V) * (10 s) = 240 joules (J)

Therefore, in this case, the energy supplied by the electric current is 240 joules (J).

It's important to note that the equation W = IVt assumes that the current and voltage remain constant during the entire time period. In real-world applications, the current and voltage may vary over time, requiring more advanced calculations to determine the total energy supplied.