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 Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

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} )].