In the figure, elementof = 94.3 V, R_1 = 9.87 Ohm, R_2 = 17.4 ohm, R_3 = 33.2 Oh

Question

In the figure, elementof = 94.3 V, R_1 = 9.87 Ohm, R_2 = 17.4 ohm, R_3 = 33.2 Ohm, and L = 1.68 H. Immediately after switch S is closed, what are (a) and (b) i_2? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, what are (c) i_1 and (d) i_2? The switch is then reopened. Just then, what are (e) i_1 and (f) i_2? A long time later, what are (g) i_1 and (h) i_2? Number units Number units Number units Number units Number units Number units

Explanation / Answer

From the given question,

E=93.4V, R1=9.87, R2=17.4, R3=33.2, L=1.68H

Immediately after switch is closed, inductor has zero current.

i1= E/ (R1+R2)= 93.4/(9.87 + 17.4)=3.425A

i2= i1=3.425A

after long time, inductor acts like an conductor

Net parallel of R2 & R3= R2 X R3/(R2+R3)=(17.4 X 33.4)/(17.4 + 33.4)=11.44

Net resistance= 11.44 + 9.87=21.31

i1= 93.4/21.31=4.38A

i2= i R3/(R2+R3)=4.38 x 33.4/(17.4 + 33.4)=2.88A

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