Answer :

The current through R1 immediately after the switch is opened which has been closed for a long time is 0.5 A ( up )

Vc = V30Ω + V10Ω

Vc = I R2

Vc = Voltage across capacitor

V30Ω = Voltage across 30Ω resistor

V10Ω = Voltage across 10Ω resistor

I = Current

R2 = Resistance across resistor 2

I = 2 A

R2 = 10 Ω

Vc = 2 * 10

Vc = 20Ω

V = I R

V30Ω = 30 I

V10Ω = 10 I

Vc = V30Ω + V10Ω

20 = 30 I + 10 I

20 = 40 I

I = 1 / 2

I = 0.5 A ( up )

Therefore, the current through R1 immediately after the switch is opened is 0.5 A ( up )

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