In the figure shown, the magnetic induction at the centre of the arc due to the current in portion AB will be

(a) μ0ir                       (c)  μ0i4r

(b) μ0i2r                        (d) Zero

Subtopic:  Magnetic Field due to various cases |
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Two concentric circular coils of ten turns each are situated in the same plane. Their radii are 20 and 40 cm and they carry respectively 0.2 and 0.3 ampere current in opposite direction. The magnetic field in weber/m2 at the centre is :

(a) 354μ0                              (b) μ080
(c)  780μ0                              (d) 54μ0

Subtopic:  Magnetic Field due to various cases |
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In the figure shown below there are two semicircles of radius r1 and r2 in which a current i is flowing. The magnetic induction at the centre of O will be:

       

1.  μ0irr1+r2                           

2.  μ0i4r1+r2r1r2

3.  μ0i4(r1-r2)                             

4. μ0i4r2-r1r1r2  

Subtopic:  Magnetic Field due to various cases |
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The direction of magnetic lines of forces close to a straight conductor carrying current will be:

(1) along the length of the conductor.

(2) radially outward.

(3) circular in a plane perpendicular to the conductor.

(4) helical.

Subtopic:  Magnetic Field due to various cases |
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A vertical wire kept in Z-X plane carries a current from Q to P (see figure). The magnetic field due to current-carrying wire will have the direction at the origin O along :

(1) OX

(2) OX'

(3) OY

(4) OY'

 


                                                                           

Subtopic:  Magnetic Field due to various cases |
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 The magnetic field at the centre of a coil of n turns, bent in the form of a square of side 2 l, carrying current i, is :

(a)  2μ0niπl                               (b)  2μ0ni2πl

(c)  2μ0ni4πl                                (d)  2μ0niπl

Subtopic:  Magnetic Field due to various cases |
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A circular coil A  has a radius \(R\) and the current flowing through it is \(I.\) Another circular coil B has a radius \(2R\) and if \(2I\) is the current flowing through it, then the magnetic fields at the centre of the circular coil are in the ratio of (i.e. BA to BB):
1. \(4:1\)                             
2. \(2:1\)
3. \(3:1\)                             
4. \(1:1\)

Subtopic:  Magnetic Field due to various cases |
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A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The strength of the magnetic field far away is :

(1) Twice the earlier value

(2) Half of the earlier value

(3) Quarter of its earlier value

(4) Unchanged

Subtopic:  Magnetic Field due to various cases |
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A wire carrying current i is shaped as shown. Section AB is a quarter circle of radius r. The magnetic field is directed :

                                                      
(a) At an angle π/4 to the plane of the paper

(b) Perpendicular to the plane of the paper and directed in to the paper

(c) Along the bisector of the angle ACB towards AB

(d) Along the bisector of the angle ACB away from AB

 

 

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Two long straight wires are set parallel to each other. Each carries a current i in the same direction and the separation between them is 2r. The intensity of the magnetic field midway between them is- 

     

(1) μ0i/r                            
(2) Zero
(3) 4μ0i/r                             
(4) μ0i/4r

Subtopic:  Magnetic Field due to various cases |
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