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 ims voltage of 8.90 V and a frequency of 25.0 kHz. The inductance in the circuit is 0.250 mH the capacitance is 0.150 F and the resistance is 3.50 2 Part A What is the reading on a voltmeter when it is connected to points A and B? Express your answer using two significant figures. 10 AED ? V Submit Request Answer Part B What is the reading on a voltmeter when it is connected to points B and C? Express your answer using two significant figures. ΑΣφ Figure ? 1 of 1 V Submit Request Answer

Answer 1

Impedance of R-L-C circuit is given by, z = VR2 + (x1 - x.) here XL = L = 2 x refl 1 1 X ос 2 x 2/C At f = 25000Hz X = 2 x x (25000) (0.25 x 10-3) = 39.270 X 42.4412 2x TX (25000) (0.15* 10“) Now Z-V(3.5)2 + (42.441 - 39.27)24.723-4.7239 Irms Z Irms = 8.9 4.723 = 1.884A Part A Inductor is connected between point A and B Vrms = Irms] Vrms = (1.884) Ⓡ (39.27) = 73.985V Part B Capacitor is connected between point C and B Vrms = 1mm

(1.884) Ⓡ (42.441) = 79.959V rms Partc Capacitor and inductor are connected in series between point C and A Ims(*_ - XL) rms V rms (1.884) Ⓡ (42.441 - 39.27) = 5.974V Part D RLC are connected in series between point A and D V = rms Irms V rms = (1.884) * (4.723) = 8.9V