For the RL circuit in the figure, the currents in R₁, R₂, and R, are denoted as 1₁, 1₂, and respectively. The

Question

vollage drops across R₁, R₂, and R, and the inductance Lare denoted as V₁, V₂, V and V, respectively.

Suppose that initially there is no current in the inductor, and the switch is open

(1) Close the switch, and find 1₁. ₂. ₂. and Vimmediately after the switch is closed.

(1) After the switch is closed for a very long time, find I₁, I₂, l, and V₁.

(The switch is then reopened. Find 1, I₂, I₂, and V. Immediately after the switch is reopened

(v) After the switch is reopened for a very long time, find ₁. ₂. I₂. and V₁

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V₁-10V

R₂-40

R₂-80

ww

27

L-1 H

R₂-40

1₂

(Limit your answer to 3 docimal places)

(04-

(0) V₁ =

(Limit your answer to 3 decimal places)

(4), =

A (1.5 marks)

v (15 marks)

A (2 marks)

(0)₂=

A (2 marks)

(0)₂=

A(1 mark)

(8) V₂ -

V (2 marks)

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(Limit your answer to 3 decimal places)

(40) (2 -

(0) -

(81) V₁ =

(M) lx =

(M) V

A (2 marks)

v (2 marks)

(Limit your answer to 3 decimal places)

(N) 1₁ =

A(1 mark)

A (1 mark)

V (1 mark)