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Differential Equations

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Moderate

RLC Circuit

DIFFEQ-85YZVE

Suppose that a circuit is made of a capacitor ($10^{-5}\ F$), an inductor($0.2\ H$) and a resistor($300\ \Omega$).

Initially, the charge on the capacitor is $10^{-5}\ C$ and there is no voltage across the resistor.

The voltage (measured in volts, $V$) across the capacitor at $t=1\ (ms)$ (i.e. $t=10^{-3}\ s$) is:

A

$2.9$

B

$8.4\times 10^{-6}$

C

$1.4\times 10^{-6}$

D

$0.84$