For your final exam in electronics, you’re asked to build an LC circuit that oscillates at 10 kHz. In addition, the maximum current must be 0.10 A and the maximum energy stored in the capacitor must be 1.0 x 10-5 J. What values of inductance and capacitance must you use?

Given the following data:

Frequency = 10 kHz

Maximum current = 0.10 Amps

Maximum energy = Joules

To find the values of inductance and capacitance that must be used for this LC circuit:

For the inductance:

Mathematically, the maximum energy stored in an inductor is given by the formula:

 L= 2 mH

Explanation:

Given that

Frequency , f= 10 kHz

Maximum current ,I = 0.1 A

Maximum energy stored ,E= 1 x 10⁻⁵ J

The maximum energy stored in the inductor is given as follows

Where ,L= Inductance

I=Current

E=Energy

Now by putting the values in the above equation

L=0.002 H

L= 2 mH

We know that frequency f is given as

C=Capacitance  , f=frequency ,L=Inductance

Now by putting the values

Therefore the inductance and capacitance will be 2 mH and 1.26 x 10⁻⁷ F respectively.