Consider a cylindrical region containing a magnetic field.

The field is directed into the plane of the screen and is changing at a constant rate K (K>0)

A metallic rod (AB) is placed as shown, at a distance d from the center. The length of the rod is L .

(O is not connected to the rod, just ignore the vertical line from O to the rod)

The rod is completely contained within the circle.

Find the potential difference between points B and A when the net electric field in the rod becomes zero.

i.e find, V B V A { V }_{ B }-{ V }_{ A }

DETAILS

  • d = 2 m

  • L = 2m

  • K = 1

  • If your answer is negative (say, negative 3) write it as -3

HINT

Scalar potential is defined for one type of electric field only.


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ronak Agarwal
Aug 20, 2014

Easy question. Just join AO and OB and this will be loop for our calculations. EMF across the loop AOB is = L d d B d t 2 \frac{Ld\frac{dB}{dt}}{2}

Now we are taking the direction of electric field as tangential. Hence there is no EMF across AO and OB.

So we finally say that EMF across loop AOB=EMF across AB= L d k 2 \frac{Ldk}{2}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...