Asingle-loop circuit consists of a 7.1 ω resistor, 11.8 h inductor, and a 3.2 μf capacitor. initially the capacitor has a charge of 6.1 μc and the current is zero. calculate the charge on the capacitor n complete cycles later for (a) n = 5, (b) n =10, and (c) n = 100.

Given:

Resistance, R = 7.1

Inductance, L = 11.8 H

Capacitance, C = 3.2

Initial charge in the capacitor,

Solution:

Charge is given by:

q = q'e                          (1)

Now,

t = NT

T =

Thus

t =

Substituting the above value of t in eqn (1):

q = q'e

q = q'e

q = q'e

where

= initial charge

q = q_{i}e

Calculation of complete cycle for:

(a) N = 5

(b) N = 10

(c) N = 100

because if the tool that you are using is not balanced it there would be false mass.