Question

Some metal conductor has a resistance of 12 ohms. When plugged into a circuit, the amount of heat 144J is released in 12s. What is the voltage at the ends of the conductors?​

Answer 1

Answer:

12V

Explanation:

Given parameters:

Resistance  = 12ohms

Heat released = 144J

Time taken = 12s

Unknown:

Voltage at the ends of the conductors = ?

Solution:

To solve this problem, we must first determine the power expended by the circuit.

Power is the rate at which work is done;

                P  = $\frac{work done }{time}$

                    = $\frac{144}{12}$

                    = 12W

Electrical power is given as;

             P  = IV  = $\frac{V^{2} }{R}$

            Since V is the unknown, we  solve for it;

          12  = $\frac{V^{2} }{12}$

           V  = 12V