, a capacitor with capacitance and two inductors with self-inductances and respectively, are connected to an AC power supply. The frequency of the AC power supply is . Which of the following statements is correct?
In the above diagram, a resistor with resistance
a) When the switch
S
is connected to
A
, the impedance of the circuit is
.
b) When the switch
S
is connected to
A
, the voltages across the resistor and the capacitor have the same phase angle.
c) The RMS value of the current is smaller when the switch
S
is connected to
B
than when it is connected to
A
.
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At resonance the impedance of the inductance is equal to the impedance of the capacitance. ie X L=X C ; X=2 x pi x frequency.When you do plug in the values of the variables you find out it is true.Hence since L and C are opposites of each other they cancel and the only impedance is R. Since the impedance has dropped to R the value of current increases hence its RMS value also increases. (i have explained it very poorly but do try to get the idea.)