A circuit consisting of a capacitor and a coil connected in series is fed two alternating voltages of equal amplitudes but different frequencies. The frequency of one voltage is equal to the natural oscillation frequency ( ω 0 ) of the circuit, the frequency of the other voltage is η times higher. Find the ratio of the current amplitudes.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. At resonance,
ω 0 L – 
= 0
∴ ω 0 = 
∴ I M0 = 
Also, for second voltage,
I M = 
According to problem, ω = ηω 0
∴ I M = 
or I M = 
or 
= 
or 
= 
or 
= 
= 
= 
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 an -circuit, the inductive reactance is equal to the resistance of the circuit. An e.m.f. app…
In the circuit given below, what will be the reading of the voltmeter
In the circuit shown below, what will be the readings of the voltmeter and ammeter
A bulb and a capacitor are connected in series to a source of alternating current. If its frequency…
An alternating e.m.f. of angular frequency is applied across an inductance. The instantaneous powe…
The voltage of an ac source varies with time according to the equation where is in seconds and i…