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 8.70 V and a frequency of 25.0 kHz . The inductance in the circuit is 0.250 mH , the capacitance is 0.150 μF, and the resistance is 2.50 Ω

L с 0000 min A B D

A) What is the reading on a voltmeter when it is connected to points A and B? Express your answer using two significant figures.

B) What is the reading on a voltmeter when it is connected to points B and C? Express your answer using two significant figures.

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

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

Answer 1

f 2) 1 Cul (1) Vams = 8.70 = 25000 Hz XL=WL = 21SL = 211+ 2506x0.25x18 - 39.272 te= L aiife I 201(25000) CO.NS710-6) -- 42.44 2-R²+(x2-to² $2.5)²+(39.27-42.44)? - 4.04r .: Iung = Vers 28. 2.154 4.04 I XL =) 2.1544 39.27/84.6/v B) VBC VIte. =) 2.154x42.44 (91.43 v - V -

c) Between A and C , effective resistance = 3.17 ohmVoltage = 3.17 * 2.154 = 6.83 V

d) Between points A and D = 8.7 V