A right-angled triangle abc, made from a metallic wire, moves at … - Vidyadip

Question

A right-angled triangle abc, made from a metallic wire, moves at a uniform speed v in its plane as shown in figure. A uniform magnetic field B exists in the perpendicular direction. Find the emf induced:

In the loop abc.
In the segment bc.
In the segment ac.
In the segment ab.

✓

Answer

Zero as the components of ab are exactly opposite to that of bc. So they cancel each other. Because velocity should be perpendicular to the length.
e = Bv × l

= Bv(bc) + ve at C

e = 0 as the velocity is not perpendicular to the length.
e = Bv(bc) positive at ‘a’.

i.e. the component of ‘ab’ along the perpendicular direction.

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