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- Show graphically the variation of charge q with timet when a condenser is charged.

$q={q}_{0}(1-{e}^{-t/RC})\phantom{\rule{0ex}{0ex}}={q}_{0}(1-{e}^{-t/\tau})........\left(1\right)\phantom{\rule{0ex}{0ex}}where,\tau =RC=timecons\mathrm{tan}tofRCcircuitand{q}_{0}isthechargeonfullychargedcondenser$

This eq. governs the charging of capacitor through resistance R.

From eq. 1, we find that at q = q

_{0}, ${e}^{-t/\tau}=0ort=\infty $, i.e., charge on the capacitor will attain its maximum value only after infinite time.

The charging of capacitor with time t is shown is the graph given below :

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