Question

A parallel circuit has a total current of 4 Amperes and an equivalent resistance of .5 Ohms. What is the power in this circuit?

Answer 1

Answer:

=8.0 Watts

Explanation:

Power is a ratio of work done over time. The power in an electric circuit is calculated using the following formula:

P=I²R

P is power, I is  current, R is resistance

Therefore,  Power= 4²ₓ 0.5Ω

=8.0 Watts

Answer 2

The power in the parallel circuit is 8 W.

Explanation:

Power in an electric circuit is defined as the current generated for a given amount of input voltage. So power of an electric circuit is directly proportional to the product of current and voltage in the circuit. The mathematical representation is

             $\text { Power }=\text { Current } \times \text { voltage }$

As per Ohm’s law, the current flowing in a closed circuit is directly proportional to the voltage applied to the circuit and resistance is the constant of proportionality between them. So

            $\text { Current } \propto \text { voltage }$

            $\text {Voltage}=\text {Current} \times \text {Resistance}$

Thus the formula for power in terms of resistance will look like

      $\text { Power }=\text { Current } \times \text { current } \times \text { resistance }=(\text { Current })^{2} \times \text { Resistance }$

As it is given that the net current in the parallel circuit is 4 A and equivalent resistance of the parallel circuit is given as 0.5 ohms. Then power is

                 $\text { Power }=4 \times 4 \times 0.5 = 8 W$

Thus, the power in the parallel circuit is 8 W.