Alternating CurrentHard
Question
An Ac source of angular frequency ω is fed across a resistor R and a capacitor C in series. The current registered is I. If now the frequency of source is change to ω/3 (but maintaining the same voltage), the current in the circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency ω
Options
A.
B.
C.
D.
Solution
At angular frequency ω ,frequency current through RC circuit is given by
Irms =
......(1)
whena angular frequency is changed to
, than the curent becomes,
...... (2)
Dividing (i) by (ii)
or 4
3R2 =
⇒
Irms =
......(1)whena angular frequency is changed to
, than the curent becomes, ...... (2)Dividing (i) by (ii)
or 4
3R2 =
⇒
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