conducting rod in magnetic field

A conducting rod of length l is hinged at a point.It is free to rotate in a vertical plane.There exists a uniform mag. field B perpendicular to the plane.The rod is released from horizontal position.What is the potential difference between the ends of the rod as a function of angle θ the rod makes with the starting posn?

4 Answers

33
Abhishek Priyam ·

By energy conservation...
ω=√3gsinθ/l

dε=ωxBdx
ε=ωB∫xdx

=ωBl2/2

Put value of ω
ε= B3gsinθ
2

______________

1
Vivek ·

i understood the second part but can u explain how u got the value of ω or the exact expression you used

33
Abhishek Priyam ·

mg(l/2)sinθ=(1/2)m(l2/3)ω2

33
Abhishek Priyam ·

opsie.. edited that

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