An ac voltmeter, which displays the rms voltage between the two points touched b

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 the figure(Figure 1) . In this circuit, the ac generator has an rms voltage of 7.90V and a frequency of 30.0kHz . The inductance in the circuit is 0.300mH , the capacitance is 0.100F , and the resistance is 3.50

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

Vrms=V

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

Vrms=V

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

Vrms=V

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

Vrms=V

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 7.90V and a frequency of 30.0kHz . The inductance in the circuit is 0.300mH , the capacitance is 0.100 1/4 F , and the resistance is 3.50 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

inductive reactance XL= 2? f L = 2?(30.0kHz)(.300mH) = 56.52

capacitive reactance XC = 1/(2?f C) = 1/(2?*30.0kHz*.100uF) = 53.07

impendance Z = ?[R2+ (XL - XC )2] = 4.91

current I rms = (Vrms /Z) = 1.61

a.) V= XL*I = 56.52*1.61 = 91V

b.) V=XC*I = 53.07*1.61 = 85.4V

c.) V= (XL-XC)*I = (56.52-53.07)*1.61 = 5.55V

d.) V = Vrms = 7.90V

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