(a) The current flowing in a resistor is given by i(t)=(t-1)^2A. Knowing that i(t)=(dq(t))/(dt) find the equation of charge q(t) if q(0)=0 (b) A current i(t) is applied to a capacitor of C=10 microF, as shown in the following figure. Knowing that i(t)=C*(dv(t)/dt) sketch the voltage across the capacitor v(t). Assume v(0)= 0 V. Note that time is measured in ms and current is measured in mA.

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Chapter1: Units, Trigonometry. And Vectors
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(a) The current flowing in a resistor is given by i(t)=(t-1)^2A. Knowing that i(t)=(dq(t))/(dt) find the equation of charge q(t) if q(0)=0
(b) A current i(t) is applied to a capacitor of C=10 microF, as shown in the following figure.
Knowing that i(t)=C*(dv(t)/dt) sketch the voltage across the capacitor v(t). Assume v(0)= 0
V. Note that time is measured in ms and current is measured in mA.

i(t) (mA)
100-
50 -
i(t)O
t v(t)
+ (ms)
2 3
4
-50 -
-100
Transcribed Image Text:i(t) (mA) 100- 50 - i(t)O t v(t) + (ms) 2 3 4 -50 - -100
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