A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure.

The induced emf is

  • Option 1)

    zero

  • Option 2)

    RvB

  • Option 3)

    vBL/R

  • Option 4)

    vBL

 

Answers (1)

Motional EMF -

\varepsilon = Blv
 

- wherein

B\rightarrow magnetic field

l\rightarrow length

v\rightarrow velocity of v perpendicular to uniform magnetic field.

 Here Induced emf across upper and lower side will balanced out.

No emf appear across right side of the loop

emf appear across left side = Bl\vartheta

This is net EMf induced in \xi =Bl\vartheta


Option 1)

zero

This is incorrect option

Option 2)

RvB

This is incorrect option

Option 3)

vBL/R

This is incorrect option

Option 4)

vBL

This is correct option

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