Question

B represent a uniform magnetic field parallel to the plane of paper west to east. state whether there will be any induced current in the conductor xy when it moves: (1) in the direction of b (2) perpendicular to b in the plane of paper? (3) upwards and perpendicular to the plane of paper .in each case give the direction of induced current if any and also name the rule applied to determine the direction

Answer 1

The emf generated is given by the law,

E = Blvsinθ

and the direction of current is given as perpendicular to both B and v and is governed by fleming's left hand rule.

1) angle between B and v, θ = 0

=> E = Blvsinθ = 0

Hence no current flows.

2) angle between B and v, θ = 90

E = Blvsinθ = Blv

v is perpendicular to b in the plane of paper

The direction of current is perpendicular to both B and v i.e upwards and perpendicular to the plane of paper

3) angle between B and v, θ = 90

E = Blvsinθ = Blv

v is upwards and perpendicular to the plane of paper.

The direction of current is perpendicular to both B and v i.e perpendicular to b in the plane of paper.