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In the circuit shown L=1mH C=1mH R=1kohms. They are connected in series with an AC source V=V0sin(omega)t. Which of the following option(s) is/are correct?
a) The current will be in phase with the voltage if omga=10^4rad/s.
b) The frequency at which the current will be in phase with the voltage is independent of R.
c) At omega=0 the current flowing through the circuit become nearly 0.
d) At omga (much, much large than) 10^6rad/s the circuit behaves like a capacitor.

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