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IP Consider the ac circuit shown in Figure, where we

Chapter 24, Problem 55P

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QUESTION:

Consider the ac circuit shown in Figure 24–32, where we assume that the values of  R, L, and  C are the same as in the previous problem, and that the rms voltage of the generator is still

\(6.00 \mathrm{~V}\).  The frequency of the generator, however, is doubled to

\(60.0 \mathrm{kHz}\). Calculate the rms voltage across  

(a) the resistor,  R,

(b) the inductor,  L, and  

(c) the capacitor,  C.

(d) Do you expect the sum of the rms voltages in parts (a), (b), and (c) to be greater than, less than, or equal to \(6.00 \mathrm{~V}\)? Explain.

Equation Transcription:

       

   

Text Transcription:

6.00 V        

60.0 kHz    

6.00 V

Questions & Answers

QUESTION:

Consider the ac circuit shown in Figure 24–32, where we assume that the values of  R, L, and  C are the same as in the previous problem, and that the rms voltage of the generator is still

\(6.00 \mathrm{~V}\).  The frequency of the generator, however, is doubled to

\(60.0 \mathrm{kHz}\). Calculate the rms voltage across  

(a) the resistor,  R,

(b) the inductor,  L, and  

(c) the capacitor,  C.

(d) Do you expect the sum of the rms voltages in parts (a), (b), and (c) to be greater than, less than, or equal to \(6.00 \mathrm{~V}\)? Explain.

Equation Transcription:

       

   

Text Transcription:

6.00 V        

60.0 kHz    

6.00 V

ANSWER:

Step 1 of 5

a) Given values

The rms voltage across the resistor can be calculated using Ohm's Law. We need to determine first the value of the rms current,  by using the relation

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