Calculating Power Consumption of a Television in an AC Circuit

What is the power consumed by the television when it is turned on?

Based on the given information, how can we calculate the power consumed by the television in this AC circuit?

Power Consumed by the Television:

The power consumed by the television when it is turned on is approximately 1035.62 Watts.

When calculating the power consumed by the television in an AC circuit, we can use the formula:

P = |V_L|^2 / Z_L

Where:

P = power consumed (in Watts)

|V_L| = magnitude of the voltage across the load (in Volts)

Z_L = impedance of the load (in Ohms)

Given the values:

|V_L| = 234.043 V (RMS)

Z_L = 53 + j0 Ω (since the television behaves like a resistor)

Now, let's calculate the power consumed:

P = |V_L|^2 / Z_L

P = (234.043 V)^2 / 53 Ω

P = 54789.29 V^2 / 53 Ω

P ≈ 1035.62 W

Therefore, the power consumed by the television when it is turned on is approximately 1035.62 Watts in this AC circuit setup.