Question

You are asked to build an LC circuit that oscillates at 13 kHz. In addition, you are told that the maximum current in the circuit can be 0.14 A and the maximum energy stored in the capacitor must be 1.4x10-5 J. What value of inductor and capacitor should you choose

Answer 1

a)
`L=0.00142H`

b)
`C=2.65*10^(-12)`

Step-by-step explanation:

From the question we are told that:

Frequency
`F=13kHz`

Current
`I=0.14A`

Capacitor
`C_e=1.4*10^(-5)J`

Generally the equation for Energy in the inductor is mathematically given by

Where L is now subject

`L=(2C_e)/(I^2)`

`L=(2*1.4*10^(-5))/((0.14)^2)`

`L=0.00142H`

Generally the equation for Value of Capacitor is mathematically given by

`C=(1)/((2 \pi f)^2) L`

`C=(1)/((2 3.142 13*10^3Hz)^2) *0.00142`

`C=2.65*10^(-12)`