To receive AM radio, you want an RLC circuit that can be made to resonate at any

Question

To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 2.42 µH inductor connected to a variable capacitor. What range of capacitance (in nF) is needed? smallest value nF largest value nF
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 2.42 µH inductor connected to a variable capacitor. What range of capacitance (in nF) is needed? smallest value nF largest value nF
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 2.42 µH inductor connected to a variable capacitor. What range of capacitance (in nF) is needed? smallest value nF largest value nF

Explanation / Answer

Given that

Low frequency f1=500 KHz

high frequency f2=1650 KHz

inductor C=2.42*10^-6 H

now we find the range of the capacitance

smallest capacitance C1=1/(2*3.14*500000)^2*2.42*10^-6=0.42 nF

largest capacitance C2=1/(2*3.14*1650*10^3)^2*2.42*10^-6=3.85 nF

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