Question

an fm radio tuning circuit has a coil with an inductance of 0.0036 mh. what is the value of the capacitance if the set is tuned to 91.3 mhz?

Answer 1

Step-by-step explanation:

The resonant frequency (f) of a series resonant circuit can be calculated using the formula:

f = 1/(2π√(LC))

where L is the inductance and C is the capacitance.

Rearranging the formula to solve for C, we get:

C = 1/(4π^2f^2L)

Substituting the given values, we get:

C = 1/(4π^2(91.3 × 10^6 Hz)^2(0.0036 mH)) = 102.2 pF

Therefore, the value of the capacitance required to tune the circuit to 91.3 MHz is approximately 102.2 pF.