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A rectangular voltage wave of magnitude A and duration B is applied to a series combination of resistance R and capacitance C. The voltage developed across the capacitor is ____________(a) A[1 – exp(-\(\frac{B}{RC}\))](b) \(\frac{AB}{RC}\)(c) A(d) A exp(-\(\frac{B}{RC}\))I had been asked this question by my school principal while I was bunking the class.This interesting question is from Dot Convention in Magnetically Coupled Circuits in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Right option is (a) A[1 – exp(-\(\FRAC{B}{RC}\))]

For explanation I WOULD SAY: VC = \(\frac{1}{C} ∫Idt\)

= \(\frac{1}{C} ∫_0^B \frac{A}{R} e^{-\frac{t}{RC}}\) dt

VC = A[1 – exp(-\(\frac{B}{RC}\))]

Hence, maximum VOLTAGE = V [1 – exp (-\(\frac{B}{RC}\))].



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