What is the Inductance of the Coil in a Radio Tuning Circuit?

[SAT2400]

Inductance of the coil??

Homework Statement

A radio has a tuning circuit consisting of a variable capacitor and antenna coil. IF the circuit has a maximum current when C=300pF and f=40kHz, what's the inductance of the coil??

Homework Equations

f= 1/(2pi root (LC))

The Attempt at a Solution

L=[1/(2pi(40000))]^2 times 1/(300E-12)

But, I didn't get the answer :52.8x 10^3 was the answer;;

 

[ehild]

The right answer is 52.8x10^(-3) H.

ehild

 

[kerimek]

The inductance of the coil can be calculated using the equation L=[1/(2pi(40000))]^2 times 1/(300E-12). This equation is derived from the resonance frequency formula for a series resonant circuit, where L is the inductance, C is the capacitance, and f is the resonance frequency. However, it is important to note that this equation assumes ideal conditions and may not be accurate in real-world scenarios. Other factors such as resistance and mutual inductance can affect the inductance of the coil. It would be beneficial to conduct further experiments or simulations to verify the calculated inductance.