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  • .In the given circuit, the capacitor of capacitance is charged by closing key at = 0. Find the time required to charge the capacitor up to the maximum charge for the given circuit, if it were to be

.In the given circuit, the capacitor of capacitance is charged by closing key at = 0. Find the time required to charge the capacitor up to the maximum charge for the given circuit, if it were to be charged with the constant initial charging rate at t= 0 in the given circuit

Option: 1

\mathrm{\frac{R C}{3}}


Option: 2

\mathrm{\frac{2 R C}{5}}


Option: 3

\mathrm{\frac{2 R C}{3}}


Option: 4

\mathrm{\frac{5 R C}{3}}


Answers (1)

best_answer

Initial charging rate = initial current in the line of capacitor = i=\frac{2 E}{5 R}
Steady state p. d. across capacitor is
\begin{aligned} & \mathrm{V_0=\frac{2}{3} E \Rightarrow q_0=C V_0=\frac{2}{3} E C} \\ & \mathrm{t=\frac{q_0}{i}=\frac{(2 / 3) E C}{2 E / 5 R}=\frac{5}{3} R C} \end{aligned}

Posted by

Ritika Kankaria

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