In a circuit with R1 rated at 30 ohms and carrying 4 amps, and R2 rated at 20 ohms carrying 6 amps, what is the power rating of R1?

To calculate the power rating of R1, you can use the formula for electric power, which is given by the equation ( P = I^2 \times R ). In this case, you know the resistance of R1 (30 ohms) and the current flowing through it (4 amps).

Using the power formula:

1. Square the current: ( I^2 = 4^2 = 16 ).

2. Multiply the squared current by the resistance: ( P = 16 \times 30 = 480 ) Watts.

Thus, the power rating of R1 is indeed 480 Watts. This means that R1, operating under the specified conditions, dissipates 480 watts of power as heat. This calculation reflects the amount of energy consumed by the resistor in the circuit.