4) For the circuit below assume that there is no current flowing through the cir

Question

4) For the circuit below assume that there is no current flowing through the circuit before the switch is closed and the battery is connected. Refer to the resistors as left resistor and right resistor.

a) Immediately after the switch is closed:

i) What are the currents through the individual resistors?

ii) What are the voltages on the resistors and inductor?

b) A long time after the switch is closed:

i) What are the currents through the individual resistors?

ii) What are the voltages on the resistors and inductor?

Please show all work.

4) For the circuit below assume that there is no current flowing through the circuit before the switch is closed and the battery is connected. Refer to the resistors as left resistor and right resistor. a) Immediately after the switch is closed: i) What are the currents through the individual resistors? ii) What are the voltages on the resistors and inductor? b) A long time after the switch is closed: i) What are the currents through the individual resistors? ii) What are the voltages on the resistors and inductor?

Explanation / Answer

a)

When the switch is just cloesed , inductor behaves as open circuit

i)

I(2 ohm with inductor ) = 0 A

I(2 ohm right) = 10/2

I(2 ohm right) = 5 A

ii)

V(2 ohm with inductor ) = 0 V

V(2 ohm right) = 10 V

b)after a long time ,inductor is short circuit ,

I(2ohm ) = I(2 ohm ) = 10/2

current through both resistances is 5 A

and

ii)

Potential through both is 10 V

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