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Two inductors of self inductances L(1) a...

Two inductors of self inductances `L_(1) and L_(2)` and of resistances `R_(1) and R_(2)` (not shown) respectively are conneted in the circuit as shown. At the instant t = 0, key k is closed. Obtain an expression for which the galvanometer will show zero deflection at all times after the key is closed.

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