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A 100 W resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit?

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Final answer:

To calculate the rms value of current in the circuit, you need to use Ohm's law and the formula for power in an AC circuit.

Step-by-step explanation:

The rms value of current in the circuit can be calculated using Ohm's law and the formula for power in an AC circuit.

  1. First, calculate the resistance using the formula R = P / I2, where P is the power and I is the current.
  2. Next, calculate the rms current using the formula I = V / R, where V is the voltage and R is the resistance.

In this case, the power is 100 W, the voltage is 220 V, and the frequency is 50 Hz. Plugging these values into the formulas, we find that the resistance is 484 ohms and the rms current is 0.454 A (or 454 mA).

User Steven Van Impe
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