Question

A conducting square loop of side l and resistance R moves in its plane with a uniform velocity v perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is ______.

Options

• `("B"l"v")/"R" ` clockwise

• `("B"l"v")/"R" ` anticlockwise

• `(1"B"l"v")/"R" ` anticlockwise

• zero

Answer 1

A conducting square loop of side l and resistance R moves in its plane with a uniform velocity v perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is zero. 

Explanation:

Because the magnetic field is consistent, the flux `phi` through the square loop is constant at all times. 

`phi = "B" xx "A" = "B" xx"L"^2` = constant

∴ e = `- ("d"phi)/"dt"` = zero