What capacitance is needed in series with a 3.7-mH inductor so the circuit will oscillate at a frequency of 1000 Hz?
A)0.15 mF
B)15 μF
C)6.8 μF
D)0.015 μF

Question

Quizplus · Accepted Answer

The resonant frequency of a series RLC circuit is given by:

f = 1/(2π√LC)

Rearranging the formula and solving for C, we get:

C = 1/(4π^2f^2L)

Substituting the given values, we get:

C = 1/(4π^2(1000)^2(3.7×10^-3))

C ≈ 6.80 μF

Therefore, the capacitance needed in series with the 3.7-mH inductor is 6.8 μF.

The closest answer choice is C.

What Capacitance Is Needed in Series with a 3