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A coil of inductance L = 2.0 μH and resistance R = 1.0 Ω is connected to a source of constant emf  = 3.0 V (Fig. 3.96). A resistance R0 = 2.0Ω  is connected in parallel with the coil. Find the amount of heat generated in the coil after the switch Sw is disconnected. The internal resistance of the source is negligible.

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Best answer

Initially, after a steady current is set up, the current is flowing as shown. In steady condition 

When the switch is disconnected, the current through R changes from i10 to the right, to i20 to the left. (The current in the inductance cannot change suddenly.). We then have the equation,

This equation has the solution 

The heat dissipated in the coil is,

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