_{1}, R

_{2}and R

_{3}are i

_{1}, i

_{2}and i

_{3}respectively. The switch S is closed at t = 0.

(a) Calculate the currents i_{1}, i_{2} and i_{3} immediately after closing the switch S(when t = 0).

(b) Calculate the currents i_{1}, i_{2} and i_{3} when steady state is reached.

(c) Show the nature of variation of the current through the battery graphically, with time ‘t’ on the X-axis and the current (i_{1}) on the Y-axis.

(d) What are the values of the slopes of the above graph at t = 0 and at t = ∞.

(e) The switch S is opened and the resistance R_{3} is disconnected. If the switch S is now closed, what time is required for the current to attain 63.2% of the final steady value?

The above question carries 15 points. The division of points among the sections (a), (b), (c), (d) and (e) can be as 4 + 3 + 4 +2 +2. Try to answer the above question within 15 minutes or less. I’ll be back with the answer shortly.

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