The energy in an oscillating lc circuit containing a 1.57 h inductor is 5.76 μj. the maximum charge on the capacitor is 201 μc. for a mechanical system with the same period, find the
(a) mass
(b) spring constant
(c) maximum displacement
(d) maximum speed.

(a)1.57 kg

(b) 281.17 N/m

(c) 201 micrometer

(d)

Explanation:

We have given that value of inductor L = 1.57 Henry

Inductive energy

Maximum charge

(A) In electrical mechanical system mass corresponds to inductance

So mass will be m = 1.57 kg

(B) We have given energy

In electrical mechanical system spring constant is equivalent to

So spring constant

(c) Displacement is equivalent to maximum charge

So displacement will be

(d) Maximum speed is correspond to maximum current

As maximum current

change tension

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle