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 =
⇒
Create a free account to view solution
View Solution FreeMore Alternating Current Questions
A condenser of capacity C is charged to a potential difference of V1. The plates of the condenser are then connected to ...A circuit with e.m.f. E = 200 sin ωt and I = sin ωt, contains a capacitance and inductance, then the value of ...Power factor of an L - R series circuit is 0.6 and that of a C - R series circuit is 0.5 If the element (L, C, and R) of...Which is not correct for capacitive reactance -...A series LCR circuit containing a resistance of 120 ohm has angular resonance frequency 4 × 103 rad s-1. At resonan...