A) In order to tuneto WEMU (FM) broadcasting at 89.1 MHz thecapacitance of LC ci

Question

A) In order to tuneto WEMU (FM) broadcasting at 89.1 MHz thecapacitance of LC circuit in your stereo receiver must be adjustedto 2.50x10-12 F. Find the value of the inductance. B) If the tuning circuit also contains a resistor of 5.0 ohms,find the impedance of the circuit when you are listening to WEMU(FM). A) In order to tuneto WEMU (FM) broadcasting at 89.1 MHz thecapacitance of LC circuit in your stereo receiver must be adjustedto 2.50x10-12 F. Find the value of the inductance. B) If the tuning circuit also contains a resistor of 5.0 ohms,find the impedance of the circuit when you are listening to WEMU(FM).

Explanation / Answer

given that f = 89.1 * 106 HZ     c = 2.50 * 10-12 F f = 1/2Lc    L = 1/42 c2f2 = plug in values L = ---------h b)Z = R2 +( XL -Xc)2 where XL = L = 2* 3.14 * 89.1 *106 HZ * L = ------         Xc =1/c = 1/2* 3.14 *  89.1 * 106HZ 2.50 * 10-12 F = -------     R = 5.0 plug in values Z = ----- where XL = L = 2* 3.14 * 89.1 *106 HZ * L = ------         Xc =1/c = 1/2* 3.14 *  89.1 * 106HZ 2.50 * 10-12 F = -------     R = 5.0 plug in values Z = -----

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