Question

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 1

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 (-\(\frac{B}{RC}\))].