| If at t = 0 the switch \[{{S}_{W}}\]is closed, then the charge on capacitor in the given circuit (initially uncharged) when the current through battery becomes 50 % of its maximum value is (assume battery is ideal). |
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A) \[\frac{C\varepsilon }{3}\]
B) \[\frac{C\varepsilon }{2}\]
C) \[\frac{C\varepsilon }{4}\]
D) \[C\varepsilon \]
Correct Answer: D
Solution :
| \[{{\operatorname{I}}_{\max }}=\frac{2\varepsilon }{R}at\,\,t=0\] |
| \[I=\frac{\varepsilon }{R}\,\,at\,\,t=\infty \] |
| So, charge on capacitor is \[C\varepsilon ,\]when current is 50% of maximum current. |
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