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Current in RL circuit

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The circuit is in steady state. Based on the circuit elements shown, write an expression for the current through the inductor after the switch is thrown from position 1 to position 2. The circuit is a 30 Volt circuit, located on the left vertical side, followed on by a 6 ohm resistor, then the switch on the top horizontal line, then a 50 mH inductor on the right horizontal side. When the switch is thrown from position 1 to position 2, position 2 is at the top of a line that leads to a 10 ohm resistor and connects bottom horizontal side.

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Detailed step-by-step solution provided that writes an expression for the current through the inductor after the switch is thrown from position 1 to 2..

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