A conductor $$AB$$ of length $$l$$ moves in $$x - y$$ plane with velocity $$\vec v = {v_0}\left( {\hat i - \hat j} \right).$$ A magnetic field $$\vec B = {B_0}\left( {\hat i + \hat j} \right)$$ exists in the region. The induced emf is
A.
zero
B.
$${B_0}l{v_0}$$
C.
$$2{B_0}l{v_0}$$
D.
$$\sqrt 2 {B_0}l{v_0}$$
Answer :
zero
Solution :
$$\vec \ell ,\vec v,$$ and $${\vec B}$$ are coplanar.
Releted MCQ Question on Electrostatics and Magnetism >> Electromagnetic Induction
Releted Question 1
A thin circular ring of area $$A$$ is held perpendicular to a
uniform magnetic field of induction $$B.$$ $$A$$ small cut is made in the ring and a galvanometer is connected across the ends such that the total resistance of the circuit is $$R.$$ When the ring is suddenly squeezed to zero area, the charge flowing through the galvanometer is
A thin semi-circular conducting ring of radius $$R$$ is falling with its plane vertical in horizontal magnetic induction $$\overrightarrow B .$$ At the position $$MNQ$$ the speed of the ring is $$v,$$ and the potential difference developed across the ring is
A.
zero
B.
$$\frac{{Bv\pi {R^2}}}{2}$$ and $$M$$ is at higher potential
Two identical circular loops of metal wire are lying on a table without touching each other. Loop-$$A$$ carries a current which increases with time. In response, the loop-$$B$$
A coil of inductance $$8.4 mH$$ and resistance $$6\,\Omega $$ is connected to a $$12 V$$ battery. The current in the coil is $$1.0 A$$ at approximately the time