Addictive Inductors

In the given circuit, a battery of emf E, a resistance R R and inductance coil L 1 L_1 and L 2 L_2 and switch S S are connected as shown in figure, initially the switch is open. L a T e X LaTeX enrgyincoils = total energy stored in coils.

enrgyincoils L 2 L 1 E 2 2 ( L 1 + L 2 ) R 2 \frac { { L }_{ 2 }{ L }_{ 1 }{ E }^{ 2 } }{ 2({ L }_{ 1 }+{ L }_{ 2 }){ R }^{ 2 } } Steady current L2 E L 1 R ( L 1 + L 2 ) \frac { E{ L }_{ 1 } }{ R({ L }_{ 1 }+{ L }_{ 2 }) } Steady current in L1 is E L 2 R ( L 1 + L 2 ) \frac { E{ L }_{ 2 } }{ R({ L }_{ 1 }+{ L }_{ 2 }) } all of the options The time constant is L 1 L 2 R ( L 1 + L 2 ) \frac { { L }_{ 1 }{ L }_{ 2 } }{ R({ L }_{ 1 }+{ L }_{ 2 }) }

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