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A 10 μF capacitor is charged from a 5 volt source through a resistance of 10 kΩ. The charging current offer 35 m sec. If the initial voltage on C is – 3 V is ___________(a) 0.56 mA(b) 5.6 mA(c) 6 mA(d) 5 μAThis question was posed to me in an interview for internship.Enquiry is from Relation between Hybrid Parameters with Short Circuit Admittance and Open Circuit Impedance Parameters topic in section Two-Port Networks of Network Theory

Answer»

Right answer is (a) 0.56 mA

Easy explanation: INITIAL current immediately after CHARGING is GIVEN by,

\(\frac{V}{R} = \frac{5+3}{10000}\)

= 0.8 mA

Now, i = i0e^-t/RC

= 0.8 mA x \(e^{\frac{t}{10k X 10 X 10^{-6}}}\)

= 0.8 X 10^-3 X \(e^{\frac{35 X 10^{-3}}{10^{-1}}}\)

= 0.56 mA.



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