Question

A conductor of length $$0.4\,m$$  is moving with a speed of $$7\,m/s$$  perpendicular to a magnetic field of intensity $$0.9\,Wb/{m^2}.$$   The induced emf across the conductor is

A. $$1.26\,V$$
B. $$2.52\,V$$  
C. $$5.04\,V$$
D. $$25.2\,V$$
Answer :   $$2.52\,V$$
Solution :
Given, length of conductor $$\left( l \right) = 0.4\,m$$
speed $$\left( v \right) = 7\,m/s$$
Magnetic field $$\left( B \right) = 0.9\,Wb/{m^2}$$
Induced emf, $$e = Blv\sin \theta \,\,\left[ {\theta = {{90}^ \circ }\,{\text{as}}\,B\,{\text{is}}\, \bot \,v} \right]$$
$$\eqalign{ & = 0.9 \times 0.4 \times 7 \times \sin {90^ \circ } \cr & = 2.52\,V \cr} $$

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. $$\frac{{BR}}{A}$$
B. $$\frac{{AB}}{R}$$
C. $$ABR$$
D. $$\frac{{{B^2}A}}{{{R^2}}}$$
Releted Question 2

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
Electromagnetic Induction mcq question image

A. zero
B. $$\frac{{Bv\pi {R^2}}}{2}$$  and $$M$$ is at higher potential
C. $$\pi RBv$$  and $$Q$$ is at higher potential
D. $$2RBv$$  and $$Q$$ is at higher potential
Releted Question 3

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. remains stationary
B. is attracted by the loop-$$A$$
C. is repelled by the loop-$$A$$
D. rotates about its $$CM,$$  with $$CM$$  fixed
Releted Question 4

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

A. $$500 s$$
B. $$25 s$$
C. $$35 ms$$
D. $$1 ms$$

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