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38. Two diffe...

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38. Two different coils have self inductance L1=8mH and L2=2mH.The current in both coil is increased at same constant rate. At certain instant power given to two coils is same. At the time energy stored in both the coils Are V1 and V2 respectively then V1/V2 is

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Two different coils have self-inductance $L_{1}$ = 8mH and $L_{2}$ = 2mH respectively. The current in both the coils is increased at a same rate. At a certain instant of time, the power being supplied to both the coils is equal. At that instant, the current, the induced voltage, and the energy stored in $L_{1}$ and $L_{2}$ are $I_{1}$ and $I_{2}$ , $V_{1}$ and $V_{2}$ , and $W_{1}$ and $W_{2}$ respectively. Then

Q. Two different coils have self-inductance

L_{1} = 8 mH

and

L_{2} = 2 mH

. The currents in both the coils is increased at a same constant rate. At a certain instant of time, the power given to both the coils is the same. At that time the current and the induced voltage in the first coil are,

i_{1}

and

V_{1}

respectively. Corresponding values for the second coil, at the same instant are,

i_{2}

and

V_{2}

respectively. Then -

Q. Two coils have self-inductances

L_{1} = 8 m H

and

L_{2} = 4 m H

. The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same constant rate. At a certain instant of time, the current, the induced voltage and the energy stored in the first coil are

i_{1}, V_{1}

and

W_{1}

. Corresponding values for the second coil are

i_{2}, V_{2}

and

W_{2}

respectively. Then:
(IIT-JEE 1994)

Two coils have self-inductance $L_{1} = 4$ mH and $L_{2} = 1$ mH respectively. The currents in the two coils are increased at
the same rate. At a certain instant of time both coils are given the same power. If $L_{1}$ and $L_{2}$ are the currents in the
two coils, at that instant of time respectively, then the value of $\frac{I_{1}}{I_{2}}$ is:

Q. Current in a coil is increased at a constant rate. The current in the second coil is also increased at the same rate. At a certain instant of time, the power given to the two coils is the same. At that time the current, the induced voltage and the energy stored in the first coil are

I_{1}

V_{1}

, and

W_{1}

respectively. Corresponding values for the second coil at the same instant are

I_{2}, V_{2}

and

W_{2}

respectively. Then,

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