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An ac voltmeter, which displays the rms voltage between

Chapter 24, Problem 54P

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QUESTION:

An ac voltmeter, which displays the rms voltage between the two points touched by its leads, is used to measure voltages in the circuit shown in Figure 24–32. In this circuit, the ac gener-ator has an rms voltage of \(6.00 \mathrm{~V}\) and a frequency of \(30.0 \mathrm{kHz}\).The inductance in the circuit is \(0.300 \mathrm{mH}\), the capacitance is \(0.100 \mu \mathrm{F}\)  and the resistance is \(2.50 \Omega\) . What is the reading on a voltmeter when it is connected to points when it is connected to points

(a) A and B,

(b) B and C,

(c) A and C, and

(d) A and D?

Equation Transcription:

       

   

   

     

Text Transcription:

6.00 V      

30.0 kHz    

0.300 mH    

0.100 \mu F      

2.50 \Omega

Questions & Answers

QUESTION:

An ac voltmeter, which displays the rms voltage between the two points touched by its leads, is used to measure voltages in the circuit shown in Figure 24–32. In this circuit, the ac gener-ator has an rms voltage of \(6.00 \mathrm{~V}\) and a frequency of \(30.0 \mathrm{kHz}\).The inductance in the circuit is \(0.300 \mathrm{mH}\), the capacitance is \(0.100 \mu \mathrm{F}\)  and the resistance is \(2.50 \Omega\) . What is the reading on a voltmeter when it is connected to points when it is connected to points

(a) A and B,

(b) B and C,

(c) A and C, and

(d) A and D?

Equation Transcription:

       

   

   

     

Text Transcription:

6.00 V      

30.0 kHz    

0.300 mH    

0.100 \mu F      

2.50 \Omega

ANSWER:

Step 1 of 6

The following are given by the question:

The resistance,  

The inductance, 

The capacitance,  

The frequency,

 

Calculate the inductive reactance as,

                                                   

Calculate the capacitive reactance as,

                                                     

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