find the (a) minimum and (b) maximum inductance of the tank circuit?
a asked:
A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 2.4 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 3.8 MHz to 9.1 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit.
i appreciate having the answers to avoid inserting wrong numbers.
A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 2.4 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 3.8 MHz to 9.1 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit.
i appreciate having the answers to avoid inserting wrong numbers.
The tank circuit is resonant when the capacitive-reactance of the circuit equals the inductive-reactance.
XL = 2 * PI * F * L
XL is the inductive-reactance in ohms, PI is 3.14159, F is frequency in Hertz, L is inductance in Henries
Xc = 1/(2 * PI * F * C)
Xc is capacitive-reactance in ohms, PI and F like above, C is capacitance in farads
Since the tank circuit is resonant when XL = Xc
2 * PI * F * L = 1/(2 * PI * F * C) Solve for L when F=3.8 MHz (remember in Hertz) and 9.1 MHz, you know PI and C