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Conventional current

In the circui...

Question

In the circuit shown, a time varying voltage $V = 2000 t$ volt is applied where t is in second. At time $t = 5 m s$ . determine the current through the resistor $R = 4 Ω$ and through the capacitor $C = 300 μ F$ .

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Solution

At $t = 5 m s, V = 10 V$

$∴ i_{R} = \frac{V}{R} = \frac{10}{4} = 2.5 A$

Further $q = C V = (300 \times 10^{- 6}) (2000 t) = 0.6 t$

$i_{C} = \frac{d q}{d t} = 0.6 A = c o n s t a n t$

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