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 8.3V and a frequency of 30.0kHz . The inductance in the circuit is 0.300mH , the capacitance is 0.100uF , and the resistance is 4.3ohms

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 8.3V and a frequency of 30.0kHz . The inductance in the circuit is 0.300mH , the capacitance is 0.100uF , and the resistance is 4.3ohms A. What is the reading on a voltmeter when it is connected to points A and B? Vrms=V What is the reading on a voltmeter when it is connected to points B and C? Vrms=V What is the reading on a voltmeter when it is connected to points A and C? Vrms=V What is the reading on a voltmeter when it is connected to points A and D? Vrms=V

Explanation / Answer

Xl=wL

=0.3*10^-3*2*pi*30*10^3

=56.55 ohm

Xc=1/XC

=1/(2*pi*30*10^3*0.1*10^-6)

=53.05 ohm

R=4.3 ohm

so Z=(R^2 +(Xl-Xc)^2)^0.5

=(4.3^2+(56.55-53.05)^2)^0.5

=5.544 ohm

so current =V/Z

=8.3/5.544

=1.5 A

A)V=iXl

=1.5*56.55

=84.66 V

B)V=i Xc

=1.5*53.05

=79.42 V

C)V=1.5*4.3

=6.44 V

D)V=8.3 V

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