Answer to Question #166362 in Electricity and Magnetism for JayJay

Question

The inductance of a tuning circuit of an AM radio is 4 mH. Find the capacitance of the circuit required for reception at 1200 kHz.

Answer 1

Answer

the capacitance of the circuit required for reception is given

$wL=\frac{1}{wC}$

And also

$w=2\pi f$

Using both equation

Capacitance is given

$C=\frac{1}{4\pi^2 f^2L}\\=\frac{1}{4\times 9.8969\times 144\times10^{10}\times 0.004}\\=4.4pF$