For the circuit shown in Figure P 11.7-4, determine the effective value of the resistor

Chapter 11, Problem P11.7-4

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QUESTION:

For the circuit shown in Figure P 11.7-4, determine the effective value of the resistor voltage \(v_R\) and the capacitor voltage \(v_C\).

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QUESTION:

For the circuit shown in Figure P 11.7-4, determine the effective value of the resistor voltage \(v_R\) and the capacitor voltage \(v_C\).

ANSWER:

Step 1 of 5

The voltage across each element is equal to the sum of the voltage across that element when it activates a single source. So, we can apply superposition principle. First, let's be top voltage source active - short-circuit the bottom voltage source, as shown in the figure below.

The source voltage is:

Radial frequency is  rad/s

The impedance of capacitance is:

 

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