Question

Replacing the differentiation with D1, D2 in the equation 100 = 20i + 0.05 \(\frac{di}{dt} + \frac{1}{20 \times 10^{-6}} \int idt\). Find the values of D1, D2.

(a) 200±j979.8

(b) -200±j979.8

(c) 100±j979.8

(d) -100±j979.8

The question was asked by my school teacher while I was bunking the class.

My question is based upon DC Response of an R-L-C Circuit in division Transients of Network Theory

Answer 1

Right choice is (b) -200±j979.8

The best explanation: Let the roots of the characteristic equation are denoted by D1, D2. So on differentiating the equation 100 = 20i + 0.05 \(\frac{di}{dt} + \frac{1}{20 \times 10^{-6}} \int idt\), we get D1 = -200+j979.8, D2 = -200-j979.8.