A magnetic field B , directed along the z-axis, varies with time T as shown in t

Question

A magnetic field B, directed along the z-axis, varies with time T as shown in the figure. A planar conducting loop is in the magnetic field. The magnetic field is perpendicular to the plane of the loop.

IMAGE LINK: http://i.imgur.com/dp24Blv.png

Select the appropriate description for the magnitude of the EMF induced in the loop (EMF-mag) and for its direction (EMF-dir) at the indicated times. Select a response for each statement.

greater than, less than, equal to, true, false

The EMF-mag at F is ... that at C.
The EMF-mag at G is equal to zero.
The EMF-dir at J is opposite to that at F.
The EMF-mag at H is ... that at L.
The EMF-mag at A is ... that at H.
The EMF-dir at J is opposite to that at A.
The EMF-mag at C is ... that at A.

Explanation / Answer

Area is not changing then emf will be directly propotional to dB/dt.

so emf is propotional to the slope of B vs t curve.

hence if slope is greater in magnitude then emf magniude will also be greater.

if slope at two points are of same sign(positive or negative ) then direction of emf will be same.

if sign of slope is opposite then Emf -dir will also be opposite.

1. EMF mag at F is greater than that of C.

2. False

3. False

4. EMf-mag at H is greater than at L.

5. EMF-mag at A is greater than H.

6. True

7. EMF-mag at C is Equal to that at A.

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