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The relation between the input current (I) and the output voltage (V) of a circuit is governed by the equation: C dV/dt = I(t) − m(t). The circuit is excited by I(t) = qδ(t), where q is a real valued constant. V at t = 0− is V0.
Which of the following is an equivalent representation of the above case?
A
C dV/dt = −m(t), with V(t = 0−) = V0 + q/C
B
C dV/dt = −m(t), with V(t = 0−) = V0 + q/C + m(t = 0−)
C
C dV/dt = −m(t), with V(t = 0−) = V0 - q/C + m(t = 0−)
D
C dV/dt = −m(t), with V(t = 0−) = q/C

Correct :

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