1.

In the circuit shown in Figure, switch S_(1) is kept closed and S_(2) open for a long time. Resistance R_(1) = 1000 R and R_(2) = 10^(-3) R. (a) Switch S_(1) is opened at time t = 0. Write the current and potential drop across R_(1) immediately after S_(1) is opened. What will be value of current after a long time? (b) Switch S_(2) is closed (S_(1) is already closed since long) at time t = 0. Write current and potential drop across R_(2) immediately after this operation. Write current through the inductor as a function of time.

Answer»


ANSWER :(a) Current `=(E)/(R), V_(R_(1)) = 1000 E, I_(OO) = (E)/(1001R) ~= 10^(-3) (E)/(R)`
(b) AT `t = 0^(+): i_(0) = (E)/(R), V_(R_(2)) = 10^(-3) E`,
`i=(1000E)/(R) [1-e^(-(Rt)/(1000L))]`


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