A series combination of resistor
, capacitor
is connected to an A.C. source of angular frequency '
'. Keeping the voltage same, if the frequency is changed to
, the current becomes half of the original current. Then the ratio of the capacitive reactance and resistance at the former frequency is
Text Solution
Verified by ExpertsThe correct answer is:
A
In the first case,
Capacitive reactance, 
Impedance of the circuit, 
Current in the circuit

In the second case,

Capacitive reactance,

Impedance of the circuit

Current in the circuit

Divide (ii) by (i), we get

Squaring both sides, we get



Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In a series circuit, the potential difference between the terminals of the inductance is , betwee…
A choke is preferred to a resistance for limiting current in circuit because
An electric bulb has a rated power of at . If it is used on an a.c. source , , a choke has to b…
An inductance of , a capacitance of and a resistance of are connected in series with an a.c. sou…
The value of alternating emf in the given circuit will be
For a series circuit at resonance, the statement which is not true is