a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency
b. A series RLC circuit with consists of a resistor, a inductor, and a capacitor. What is at and ?
a. The peak inductor voltage in a series RLC circuit is maximum at frequency is
b. at is and at is
We have to prove that the peak inductor voltage in a series RLC circuit is maximum at frequency
We Know that,
Denominator equal to zero
We know that
We have given that a series RLC circuit with consists of a resistor, a inductor, and a capacitor we have to find at and .
The voltage across the inductor is
At We get,
The maximizing frequency is
The impedance at this frequency is
The Voltage is
The tuning circuit in an FM radio receiver is a series RLC circuit with a inductor.
a. The receiver is tuned to a station at . What is the value of the capacitor in the tuning circuit?
b. FM radio stations are assigned frequencies every , but two nearby stations cannot use adjacent frequencies. What is the maximum resistance the tuning circuit can have if the peak current at a frequency of , the closest frequency that can be used by a nearby station, is to be no more than of the peak current at ? The radio is still tuned to , and you can assume the two stations have equal strength.
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