Alternating Voltages and Currents The voltage supplied by a wall socket varies w

Question

Alternating Voltages and Currents The voltage supplied by a wall socket varies with time, reversing its polarity with a constant frequency, as shown in the graph. (Figure 1) Figure 1 of 2 200 100 -100 Part A What is the rms value Vrms of the voltage plotted in the graph? Express your answer in volts. Submit Hints My Answers Give Up Review Part Part B When a lamp is connected to a wall plug, the resulting circuit can be represented by a simplified AC circuit, as shown in the figure Here the lamp has been replaced by a resistor with an equivalent resistance R 120 2. What is the rms value Irms of the curre through the circuit? Express your an r in amperes Submit Hints My Answers Give Up Review Part Part C

Explanation / Answer

Part A

From the graph the amplitude of the wave (v) is found to be 170 V

V = 170 V

Vrms = V/2

Vrms = 170/1.414

vrms = 120.2 V

Part B

Irms = Vrms/R

Irms = 120.2 / 120

Irms = 1.001 A

Part C

Pavg = IrmsVrms

Pavg = 1.001 x 120.2

Pavg = 120.3202 W

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