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Question

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1.What is the rms value V_rms of the voltage plotted in the graph? 2.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. (Part B figure) Here the lamp has been replaced by a resistor with an equivalent resistance R = 120 Omega. What is the rms value I_rms of the current flowing through the circuit?

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3.What is the average power P_avg dissipated in the resistor? 1.What is the rms value V_rms of the voltage plotted in the graph?

Explanation / Answer

maximum voltage from the graph is                       V = 170 V                 rms voltage   V _rms   = V / v2                                                   = 170 / ( 1.414 )                                                  = 120.2263 V rms current   I_rms = V_ rms   / R                              = 120.2263 / 120                              =  1.001 A Power dissipated in the resistance                       P = I_ rms^ 2 R                           = (1.001)^2 ( 120 )                              = 120.453 W  

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