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Differential Equations

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Circuit with a Discontinuous Source Voltage

DIFFEQ-44LEH1

Consider a circuit consisting of a capacitor, an inductor, a resistor and a voltage source. Suppose the resistance is $R=3\ \Omega$, the inductance is $L=0.5\ H$ and the capacitance is $C=0.25\ F$.

The voltage across the voltage source suddenly changed from $0.1\ V$ to $0.2\ V$ at time (unit: $s$) $t=0$.

What is the value of the voltage (unit: $V$) on the inductor at $t=0.05$?

A

$0.1$

B

$0.101$

C

$0.073$

D

$0.009$