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Curves in the graph shown in Fig. give, ...

Curves in the graph shown in Fig. give, as function of radius distance r, the magnitude B of the magnetic field inside and outside four long wire a,b,c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double labels.

Which wire has the greatest radius?

A

`a`

B

`b`

C

` c`

D

`d`

Text Solution

Verified by Experts

The correct Answer is:
C
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Curves in the graph shown give , as functions of radial distance r (from the axis), the magnitude B of the magnetic field (due to individual wire) inside and outside four long wires a ,b,c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double lables . All curves start from the origin. (i). Which wire has the greatest radius ? (A) a (B) b (C ) c (D) d (ii) Which wire has the greatest magnitude of the magnetic field on the surface ? (A) a (B) b (C ) c (D) d (iii) The current density in wire a is (A) greater than in wire c. (B) less than in wire c. (C ) equal to that in wire c. (D) not comparable to that of in wire c due to lack of information.

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Knowledge Check

  • Curves in the graph shown in Fig. give, as function of radius distance r, the magnitude B of the magnetic field inside and outside four long wire a,b,c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double labels. which wire has the greatest magnitude of the magnetic field on the surface?

    A
    a
    B
    b
    C
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    D
    d

  • Curves in the graph shown in Fig. give, as function of radius distance r, the magnitude B of the magnetic field inside and outside four long wire a,b,c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double labels. The current density in wire a is

    A
    greater than in wire c
    B
    less than in wire c
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  • Figure shown variation of magnetic field inside and outside two cylindrical wires P and Q carrying currents that are uniformly distributed across the cross section of wires. If current density for two wires are J_(P) and J_(Q) then

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