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The figure shows four wire loops, with e...

The figure shows four wire loops, with edge length of either `L` or `2L`. All four loops will move through a region of uniform magnetic field `vecB` (directed out of the page) at the same constant velocity . Rank the four loops according to the maximum magnitude of the e.m.f. induced as they move through the field, greatest first

A

`(e_(c)=e_(d)) lt (e_(a)=e_(b))`

B

`(e_(c)=e_(d)) gt (e_(a)=e_(b))`

C

`e_(c) gt e_(d) gt e_(b) gt e_(a)`

D

`e_(c) lt e_(d) lt e_(b) lt e_(a)`

Text Solution

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The correct Answer is:
B
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The following figure shows four wire loops, with edge lengths of either Lor 2L. All four loops will move through a region of uniform magnetic field B (directed out of the page) at the same constant velocity. (Corresponding to loop mentioned in Column II, information on induced emf is provided in Column I, match them correctly).

The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, with the direction of the field perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first.

Knowledge Check

  • The four wire loops shpwn figure have vertical edge lengths of either L,2L or 3L . They will move with the same speed into a region of uniform magnetic field vec(B) directed out of the oage. Rank them according to the maximum magnitude of the induced emf greatest to least.

    A
    `1` and `2` tie, then `3` and `4` tie
    B
    `3` and `4` tie, then `1` and `2` tie
    C
    `4,3,2,1`
    D
    `4` then, `2` and `3` tie and then `1`
  • The graph gives the magnitude B (t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first

    A
    `b gt (d=e) lt (a=c)`
    B
    `b lt (d=e) gt (a=c)`
    C
    `b lt d lt e lt c lt a`
    D
    `b gt (a=c) gt (d=e)`
  • The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conductig loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude fo the emf induced in the loop, greater first

    A
    `bgt(d=e)lt(a=c)`
    B
    `bgt(d=e)gt(a=c)`
    C
    `bltdlteltclta`
    D
    `bgt(a=c)gt(d=e)`
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