The magnitude of the earth's magnetic field at a place is `B_(0)` and angle of dip is `delta.` A horizontal conductor of lenth/lying along the magnetic north-south moves eastwards with a velocity v. The emf induced acroos the coductor is

Options

A. `B_(0)lv cos delta`
B. `B_(0)lv`
C. `B_(0)lv sin delta`
D. zero

Answer

C

Explanation

The horizontal component of `B_(0)` is `B_(0) cos delta = B_(H)`
and the vertical component of `B_(0)` is `B_(0) sin delta = B_(v)`
The conductor, lying along N-S, is moving towards east. It will cut the vertical component `(B_(0) sin delta)` of the earth's magnetic field.
`:. e = vB_(v)l = v cdot (B_(0)sin delta)l`
`:. e B_(0)l v sin delta`.