What is the reading on a voltmeter when it is connected to points A and B? What

Question

What is the reading on a voltmeter when it is connected to points A and B?

What is the reading on a voltmeter when it is connected to points B and C?

What is the reading on a voltmeter when it is connected to points A and C?

What is the reading on a voltmeter when it is connected to points A and D?

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 the figure(Figure 1) . In this circuit, the ac generator has an rms voltage of 6.60V and a frequency of 30.0kHz. The inductance in the circuit is 0.300mH, the capacitance is 0.100 microF, and the resistance is 2.50 ohms. What is the reading on a voltmeter when it is connected to points A and B? What is the reading on a voltmeter when it is connected to points B and C? What is the reading on a voltmeter when it is connected to points A and C? What is the reading on a voltmeter when it is connected to points A and D?

Explanation / Answer

R=2.5ohms

XL=wL=2pi*30000*0.3*10^-3 =56.55ohms

XC=1/(wC)=1/(2pi*30000*0.1*10^-6)=53.052 ohms

Z=sqrt(R^2+(Xc-XL)^2)=4.3ohms

So

I=6.6/Z=1.5353A

V(AB)=IXL=86.821V

V(BC)=IXc=81.452V

V(CD)=IR=3.8383V

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