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The figure shows a square loop wire with...

The figure shows a square loop wire with sides of length `l=2cm` . A magnetic field position points into the page and its magnitude is given by `B=4t^(2)yT,t` is in second and `y` is in metre. Determine the emf induced around the square at `t=2.5sec` .

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`dA=ldy`
`dphi=BdA=4t^(2)yldy`
`phi=4t^(2)lint_(0)^(l)ydy==4t^(2)l|(y^(2))/(2)|_(0)^(l)=2t^(2)l^(3)`
`e=(dphi)/(dt)=2l^(3).2t=4l^(3)t`
`=4(0.02)^(3)xx2.5`
`=8xx10^(-5)V`
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CP SINGH-ELECTROMAGNETIC INDUCTION-EXERCISES
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  2. The direction of induced current in the loop

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  3. A current-carrying wire is placed, below a coil in its plane, with cur...

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  4. A wire is bent to form the double loop shown in figure. There is a uni...

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  5. Two different wire loops are concentric and lie in the same plane. The...

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  6. A bar magnet is moved along the axis of a copper ring placed far away ...

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  7. Consider the situation shown in . if the switch is closed and after so...

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  8. Solve the previous question if the closed loop is completely enclosed ...

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  9. As shown in the figure, P and Q are two coaxial conducting loops separ...

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  10. shows a horizontal solenoid connected to a battery and a switch. A cop...

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  11. An aluminium ring B faces an electromagnet A. The current I through A ...

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  12. A conduting ring R is placed on the axis of a bar magnet M . The plane...

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  13. Two circular loops of equal radii are placed coaxially at some separat...

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  14. Two identical coaxial circular loops carry a current i each circulatin...

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  15. Two circular coil P and Q are arranged coaxially as shown. The sign co...

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  16. Two circular loops P and Q are placed with their planes paraller to ea...

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  17. A small, conducting circular loop is placed inside a long solenoid car...

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  18. A small magnet M is allowed to fall through a fixed horizontal conduct...

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  19. In the previous question, the directions of the current flowing in the...

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  20. A copper ring having a cut such as not to from a complete loop is held...

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  21. Lenz's law is consequence of the law of conservation of

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