What is i 1 just after the switch is closed? What is i 2 just after the switch i

Question

What is i1 just after the switch is closed?

What is i2 just after the switch is closed?

What is the value of the current in the switch just after the switch is closed?

What is the the potential difference across R2 just after the switch is closed?

What is the the potential difference across L just after the switch is closed?

What is the rate of change of the current di2/dt in the time just after the closing of the switch?

What is i1 a long time after the switch is closed?

What is i2 a long time after the switch is closed?

What is the value of the current in the switch a long time after the switch is closed?

What is the the potential difference across R2 a long time after the switch is closed?

What is the the potential difference across L a long time after the switch is closed?

What is the rate of change of the current di2/dt a long time after the closing of the switch?

Explanation / Answer

Just after the switch is closed the inductor acts like an open circuit

So

i2 = 0 i1 = E/R1 = 85/65 = 1.307692308 A

The current through the switch is i1 = 1.307692308 A

Since i2 = 0 V(R2) = 0V

V(L) = E = 85 V

Using V(L) = L*di/dt we get di/dt = V(L)/L = 85V/55 = 1.54545454A/s

2)

Just after the switch is closed the inductor acts like an open circuit

So

i2 = 0

Since i2 = 0 V(R2) = 0V

3)

Just after the switch is closed the inductor acts like an open circuit

So

i2 = 0 i1 = E/R1 = 85/65 = 1307692308 A

The current through the switch is i1 = 1.307692308 A

Since i2 = 0 V(R2) = 0V

V(L) = E = 85 V

Using V(L) = L*di/dt we get di/dt = V(L)/L = 85 V/55 = 1.5454545A/s

The current through the switch is i1 = 1.307692308 A

4)

Since i2 = 0

V(R2) = 0V

5)

V(L) = E = 85V

Using V(L) = L*di/dt we get di/dt = V(L)/L = 85V/55 = 1.5454545 A/s

6)

V(L) = E = 85 V

Using V(L) = L*di/dt we get di/dt = V(L)/L = 85 V/55 = 1.5454545 A/s

7) Same as 1

8) Same as 2

9) Same as 3

10) Same as 4

11) Same as 5

12) Same as 6

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