An LC circuit oscillates at a frequency of 2.50×103 Hz. What will the frequency be if the inductance is halved? 1.77×103 Hz 5.00×103 Hz 1.25×103 Hz 3.54×103 Hz
Question
An LC circuit oscillates at a frequency of 2.50×103 Hz. What will the frequency be if the inductance is halved? 1.77×103 Hz 5.00×103 Hz 1.25×103 Hz 3.54×103 Hz
Solution
The frequency of oscillation in an LC circuit is given by the formula:
f = 1 / (2π√(LC))
where: f is the frequency, L is the inductance, and C is the capacitance.
If the inductance is halved, the new frequency (f') will be:
f' = 1 / (2π√((L/2)C))
Simplifying this gives:
f' = 1 / (2π√(LC/2))
Comparing this with the original formula, we can see that the new frequency is the original frequency multiplied by the square root of 2. Therefore, if the original frequency was 2.50×10^3 Hz, the new frequency will be:
f' = 2.50×10^3 Hz * √2 ≈ 3.54×10^3 Hz
So, the correct answer is 3.54×10^3 Hz.
Similar Questions
An LCR series circuit of capacitance 62.5 nF and resistance of 50 Ω, is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is ____mH.(Take π2=10)
What is the capacitance of the capacitor required if an LC oscillator that uses an inductance of L = 15mH to produce a sine wave of frequency 100kHz ?
The resonant frequency of a series AC circuit consisting of a 200 μH inductor, a 0.0005 μF capacitor and a 10 Ω resistance is
A coil having a resistance of 10 Ω and an inductance of 125 mH is connected in series with a 60μF capacitor across a 120 V supply. At what frequency does resonance occurs? Find the currentflowing at the resonant frequency.
An RLC oscillator circuit contains a 63.3-Ω resistor and a 1.67-mH inductor. What capacitance is necessary for the time constant of the circuit (the 1/e value) to be equal to the oscillation period? (You may enter your calculation using scientific notation.) F
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.