Question

6. A conducting circular ring and a conducting
elliptical ring both are moving pure transnationally in a uniform
magnetic field of
strength B as shown
in figure on a horizontal conducting pane potential
difference between top most point of circle and ellipse is​

Answer 1

Answer:

so this is the answer

hope it is helpful

Answer 2

AnSwer :

Potential difference between lowest point and highest point of ellipse :-

${\sf{V_{2} - V_{1} = B(4a)(2v) \: \: \: \: .....(1)}}$

Potential difference between lowest point and highest point of circle :-

${\sf{V_{3} - V_{4} = B(2a)v \: \: \: \: .....(2)}}$

Now since points 3 and 2 are located on the same conducting plane , the potential of those points will be same;

${\sf{V_{3} = V_{2} \: \: \: .......(3)}}$

Subtracting eq.(2) from eq.(1);

${ :{\implies{\sf (V_{2} -V_{1}) - (V_{3} - V_{4}) = 8Bav-2Bav}}}$

${:\implies {\sf {V_{2} -V_{1} - V_{3} + V_{4}= 6Bav}}}$

${ : \implies{ \sf{ V_{4} - V_{1}= 6Bav}}}$

${:\implies{ \boxed{\bf{ V_{1} - V_{4}= -6Bav}}}}$

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