The next two questions concern the same physical situation. A series LRC circuit

Question

The next two questions concern the same physical situation. A series LRC circuit contains the following components as shown in the picture. The components are connected to an alternating voltage source with a frequency of 100 Hz. In this circuit compare the voltage to the current. The voltage is leading the current. The voltage is lagging the current. The voltage is in phase with the current. What is the impedance of the circuit? Z = 15.6 Ohms Z = 54.6 Ohms Z = 94.3 Ohms Z = 134.5 Ohms Z = 306.9 Ohms

Explanation / Answer

f = 100 Hz, C =10 uF, R =10 ohm , L = 40 mH

17) Correct option is (B)

18) capacitive reactance XC = 1/wC = 1/2pi*f*C

XC = 1/(2*3.14*100*10*10^-6) = 159.236 ohm

inductor reactance XL = wL = 2pi*f*L = 2*3.14*100*40*0.001 =25.12 ohm

impedence Z = (R^2 +(XL -XC)^2)^1/2

Z = (10^2 +(25.12 -159.236)^2)^0.5

Z = 134.5 ohm

correct option is (D)

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