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 6.40 VV and a frequency of 25.0 kHzkHz . The inductance in the circuit is 0.250 mHmH , the capacitance is 0.150 μFμF , and the resistance is 3.20 ΩΩ .

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?

Answer 1

Sao 10 Vams = 6.40V f = 25x103 HZ L= 0.250 mH = 0.250710-3H C = 0.150*10-6 F Guiven Data R = 3.20.2 Vo = V2 Voins z Vzx6.40 V Vo = 9,051 v wl=zofL Inductive X Resistance 217 25000 x0,25x 1003 X = 39.272 ) Capacitive Xc=1 اوا Zafc Reactance 1 Xc 20 X 25000*0.150x107 X c = 42,442 z = V(X-X.)2 + R2 =V39.27-42.442 + 3.202

ImpedanceZ4,501 Portal Vac = I x(x2 - Xc) where, I=v 26.40 = 2 A 3,20 R E = 2A VAC = 2x 39.27 - 42.444 VAC = 6.340 Part (b VAD = I xz = 2*4.50 IVAD VAD = 9v