Question

A vertical rod of length l is moved with constant velocity v towards east. The vertical component of earth magnetic field is B and angle of dip is θ. The induced e.m.f. in the rod is
(1) Blv sin θ (2) Blv tan θ (3) Blv cot θ (4) Blv cos θ

Answer 1

Dear Student,
$$\begin{gathered} Asweknowangleofdipisdifineasanglemadebytotalmagneticfieldofearth \\ withhorizontal \\ ifverticalcomponentofmagneticfieldisB \\ thentotalmagneticfield(B\text{'})=B/\sin \left(\theta \right) \\ andhorizontalmagneticfield(B\text{'}\text{'})=Bcot\left(\theta \right) \\ soemfinduced=vBcot\left(\theta \right)l=vBlcot\left(\theta \right) \end{gathered}$$
Regard