In the circuit shown, L=1μH, C=1μF and R=1kΩ. They are connected in series with an a.c. source V=V0 sinωt as shown. Which of the following options is/are correct?
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a
At ω~0 the current flowing through the circuit becomes nearly zero
b
The frequency at which the current will be in phase with the voltage is independent of R
c
The current will be in phase with the voltage if ω=104rad. s−1
d
At ω>>106rad.s−1, the circuit behaves like a capacitor
answer is A.
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Detailed Solution
(A) ω~0⇒V0sinωt≈0 so no current and option A is correct(B) current in phase with voltage implies resonance so,ωL=1ωC or ω0=1LC⇒ frequency depends on capacitance and inductance not on resistance. (B) is correct (C) ω=ω0=110−6×10−6=106rad/s so (C) is not correct.(D) ω>>106⇒XL>XC or circuit behaves as inductive so (D) is not correct.