Refer to the following facts to answer the question A 50 Hz, 11 kV, 3 phase alternator with earthed neutral having a reactance of 3 ohms per phase and is connected to a bus bar through a circuit breaker, if the distributed capacitance upto CB between the phase and neutral is 0.01 ? F. What is the frequency of oscillations?
A)10000 Hz
B)12500 Hz
C)12628 Hz
D)13265 Hz

Question

Quizplus · Accepted Answer

The frequency of oscillations (f) in a circuit can be calculated using the formula $f = \frac{1}{2\pi\sqrt{LC}}$, where L is the inductance and C is the capacitance. Given that the reactance (X) is 3 ohms and the frequency (f₀) is 50 Hz, we can find the inductance (L) using $X = 2\pi f₀ L$, leading to $L = \frac{X}{2\pi f₀}$. Substituting the given values, $L = \frac{3}{2\pi \times 50}$ henries and $C = 0.01 \mu F = 0.01 \times 10^{-6} F$. Plugging these into the formula for oscillation frequency gives a result close to 12628 Hz.

Refer to the Following Facts to Answer the Question a 50