An AC circuit consists of the elements shown above, with R = 10,000 ohms, L = 25 millihenrie and C an adjustable capacitance. The AC voltage generator supplies a signal with amplitude of 40 volts and angular frequency of 1,000 radians per second. For what value of C is the amplitude of the current maximized?
A. 4 nF
B. 40 nF
C. 4 μF
D. 40 μF
E. 400 μF
(GR0177 #38)
Solution:
Imax when XL = XC
→ ωL = 1 / ωC
C = 1 / ω2L
= 1 / [(103)2 × 25 × 10−3]
= 1 / (25 × 103)
= 40 × 10−6
= 40 μF
Answer: D
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