1. For the circuit shown, find three currents a) immediately after S is closed.

Question

1.      For the circuit shown, find three currents

a)      immediately after S is closed.

b)      a long time after S has been closed.

c)      Finally what is the amount of the energy stored in the L?

2. After the switch has been closed for a long time, the switch is open.

d)      Find three currents immediately after S is open.

e)   

           e)    Find the potential drop across R2.

f)         f) How much total energy dissipated in R1 and R2 separately, during the switch is open?

For the circuit shown, find three currents immediately after S is closed. a long time after S has been closed. Finally what is the amount of the energy stored in the L? After the switch has been closed for a long time, the switch is open. Find three currents immediately after S is open. Find the potential drop across R2. How much total energy dissipated in R1 and R2 separately, during the switch is open?

Explanation / Answer

a) when the switch is closed initially inductor is opened.

Rnet = R1 + R2 = 25 ohms

current through R1 and R2 = 300/Rnet = 300/25 = 12 A

current through inductor is zero.

i1 = 12 A
i2 = 12 A

i3 = 0


b) after a long time inductor is short circuited.

Rnet = R1 = 5 ohms

i1 = 300/5 = 60 A

i2 = 0

i3 = 60 A

c)

U = 0.5*L*i3^2 = 0.5*5*60^2 = 9000 J

2)

d) i1 = 0

i2 = i3 = 60 A

e) V2 = 60*20 = 1200 volts

f)

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