d\' f 00 Q\' t. +\" .all 13% 1 1:58 AM webwork. phys.yorku.ca/ induclor al Line

Question

d' f 00 Q' t. +" .all 13% 1 1:58 AM webwork. phys.yorku.ca/ induclor al Line t-21 secornds PAPER SOLUTION INTERPRET DEVELOP In yaur answers below, lype E, t1. t2 and t3 to represent E, ti , t2 and ts. (a) Derive an algebrait: expression for lhe current through the inductor at time ti . (b) Derive an algebraic expressian far Ihe current through the inductor at time t. 12 Derive an algebrai: expression for lhe current through the inductor at time t. EVALUATE ASSESS Note: in der loget redil for Misproblem al!

Explanation / Answer

given

E = 14 V , R = 2.8 ohm , L = 18 H

the switch is at A for time peiod t = 14 s , later moved to B at this time the current starts to decrease then

I(t) = I0e^(-R*t/L)

a) at time t = 7 s  

I(7) = (7/2.8)(1-e^(-2.8*7/18)) A

I(7) = 1.6585243 A  

b) at time t = 14 s

I(14) = (14/2.8)(1-e^(-2.8*14/18)) A

I(14) = 4.433535 A

c) at time t = 21 s is

I(21) = (21/2.8)(e^(-2.8*21/18)) A

I(21) = 0.286 A

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