9. The voltage vs. time between points a and b (i.e., V-Vb) as displayed on an o
ID: 778641 • Letter: 9
Question
9. The voltage vs. time between points a and b (i.e., V-Vb) as displayed on an oscilloscope is shown at the left of the circuit diagram. The voltage between points b and c in the circuit is observed during the same time interval. If the circuit element being tested is an inductor, which choice, below, shows the correct time dependence for Vb-Ve? [The vertical scales of the displays are arbitrary.J Circuit Sine wave ix! element generatorbeing tested C + F. None of the above. 10. A capacitor is connected across the terminals of a 115 V rms, 60 Hz, AC source. For what value of capacitance C will the rms current be 1.15 A? A. 12 uF B. 270 mF C. 2.7 mF D. 27 uF E. 1.6 mF 11 . An RLC series circuit is connected across the terminals of a sinusoidal emf of 1 15 V and 60 Hz·The circuit elements are R-50 2, C-27 F and L-0.13 H. The total impedance of the circuit is about: A.0 B, 200 C, 50 D, 71 E.98 12. What inductance must be used in series with a capacitance of 2.0 uF to cause the resonant frequency of the circuit to be 60 Hz? A, 14H B. 7.0 H C. 3.5 H D. 1,8 H E. 1.3H F. 140 H G. 8.9 mH H. 1.3 mHExplanation / Answer
Ans 9 - C
Ans 10 - we know that Z = 1/wc where w = 2*pi*f
V = I*Z
115 = 1.15/(2*3.14*60*C)
120*pi*C = 1/100
C = 1/100*120*3.14 = 2.654e-5 ~ 27 uF
ans 11 Impedance of RLC, Z = sqrt(R^2 + (Zl - Zc )^2)
Zl = wL = 2*3.14*60*0.13 = 48.98 ohm
Zc = 1/2*3.14*60*27e-6 = 98.29 ohm
Z = sqrt(2500 + (48.98 - 98.29)^2) ~ 71 ohms
Ans 12
here in resonance wL = 1/wC
L = 1/w^2C = 1/(60*60*2e-6) ~140H
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