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

Answer:

a)$L=0.00142H$

b) $C=2.65*10^{-12}$

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

$L=\frac{2C_e}{I^2}$

$L=\frac{2*1.4*10^{-5}}{(0.14)^2}$

$L=0.00142H$

Generally the equation for Value of Capacitor is mathematically given by

$C=\frac{1}{(2 \pi f)^2} L$

$C=\frac{1}{(2 3.142 13*10^3Hz)^2} *0.00142$

$C=2.65*10^{-12}$