What mathematical equation is used to find the current in a circuit when power and resistance are known?

The equation used to find the current in a circuit when power and resistance are known is derived from the relationship between power (P), current (I), and resistance (R). The correct equation, which is expressed as I = P / R, is based on Ohm's Law and the power equation in electrical circuits.

In electrical terms, power is defined as the product of current and voltage (P = I * V). Ohm's Law states that voltage (V) is the product of current (I) and resistance (R) (V = I * R). By substituting R in the power equation, we can express the current in terms of power and resistance.

When rearranging the equations, you can derive current as I = P / V and since V = I * R, it can be rearranged to V = I * R. Since V can again be expressed in terms of P and I, this leads us to I = P / R when we know both power and resistance.

This understanding highlights that current is inversely proportional to resistance when the power supply remains a constant factor. Thus, if the resistance increases while power remains constant, the current will decrease, and vice versa.

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