Consider a series circuit containing a resistor of resistance R and an inductor

Question

Consider a series circuit containing a resistor of resistance R and an inductor of inductance L connected to a source of emf E and negligible internal resistance. The wires (including the ones that make up the inductor) are also assumed to have negligible resistance. (Figure 1) Let us start by analyzing the process that takes place after switch S1 is closed (switch S2 remains open). In our further analysis, lowercase letters will denote the instantaneous values of various quantities, whereas capital letters will denote the maximum values of the respective quantities. Note that at any time during the process, Kirchhoff s loop rule holds and is, indeed, helpful:

Explanation / Answer

(D) In steady state,

I = e /R

(e) zero.

(f) vR = e

(g) i = (emf / R) [1 - e^(-tR / L)]

(h) at t = 6T

i = (emf / R) [1 - e^-6 ]

i = 0.997 e / R

i/ imax = 0.997

(i) current is increasing

(j) i = (emf /R) [ e^(-RT/L)]

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