<p>A 1000V battery, a 3000&#937; resistor, and a 0.50&#956;F capacitor are conne

Question

<p>A 1000V battery, a 3000&#937; resistor, and a 0.50&#956;F capacitor are connected in series with a switch. The time constant for such a circuit, designated by the Greek letter, &#964;, is defined as the time that the capacitor takes to charge to 63% of its capactiry after the switch is closed. What is the current in the circuit at&#160; time interval of &#964; seconds after the switch has been closed?</p>
<p>a. 0.14A</p>
<p>b. 0.21A</p>
<p>c. 0.12A</p>
<p>d. 0.32A</p>

Explanation / Answer

Current in an RC circuit is given as

i(t) = (V/R) exp(-t/RC)

Now the time constant of the circuit is given as =RC

At this time the current is given as

i() = 1000/3000 * exp(-1)

=0.12 A (OPTION C)

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