What inductance is needed in series with a 4.7-μF capacitor so the circuit will oscillate at a frequency of 10 kHz?
A)21 μH
B)54 μH
C)4.7 mH
D)5.4 mH

Question

Quizplus · Accepted Answer

To calculate the inductance needed in series with a 4.7-μF capacitor to produce an oscillation frequency of 10 kHz, we can use the following formula:

f = 1 / (2π√(LC))

where:
f = frequency (in Hz)
L = inductance (in Henries)
C = capacitance (in Farads)
π = 3.14159...

Rearranging the formula to solve for L, we get:

L = 1 / (4π²f²C)

Plugging in the given values, we get:

L = 1 / (4π² x 10,000² x 4.7 x 10^-6)
  = 54 x 10^-6 (or 54 μH)

Therefore, the inductance needed in series with the 4.7-μF capacitor to produce an oscillation frequency of 10 kHz is 54 μH.

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