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#14 | Mutual Induction

(Physics) > Electromagnetic Induction

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Related Practice Questions :

A small square loop of wire of side *l* is placed inside a large square of wire of side L (L>>l). The loops are co-planar and their centres coincide. The mutual inductance of the system is proportional to :

1. l/L

2. ${\mathrm{l}}^{2}/\mathrm{L}$

3. L/l

4. ${\mathrm{L}}^{2}/\mathrm{l}$

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Two coils have a mutual inductance of 5 mH. Current changes in the first coil according to the equation I = ${I}_{0}$cos wt, where ${I}_{0}$ = 10 A and $\mathrm{\omega}=100\mathrm{\pi}$ rad/s. Maximum value of e.m.f. induced in the second coil is

1. 5$\pi $ volt

2. 2$\pi $ volt

3. 4$\pi $ volt

4. $\pi $ volt

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Two coils of self inductance *L*_{1} and *L*_{2} are placed closer to each other so that total flux in one coil is completely linked with other. If *M* is mutual inductance between them, then

(1) *M* = *L*_{1}* L*_{2}

(2) *M* = *L*_{1}/*L*_{2}

(3) $M=\sqrt{{L}_{1}{L}_{2}}$

(4) *M* = (*L*_{1}* L*_{2})^{2 }

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Two circuits have coefficient of mutual induction of 0.09 *henry*. Average e.m.f. induced in the secondary by a change of current from 0 to 20 *ampere* in 0.006 *second* in the primary will be** **

(1) 120 *V*

(2) 80 *V*

(3) 200 *V*

(4) 300 *V*

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A loss free transformer has 500 turns on its primary winding and 2500 in secondary. The meters of the secondary indicate 200 *volts* at 8 *amperes* under these conditions. The voltage and current in the primary is** **

(1) 100 *V*, 16 *A*

(2) 40 *V*, 40 *A*

(3) 160 *V*, 10 *A*

(4) 80 *V*, 20 *A*

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