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

Concept Questions :-

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 :

(a) Twice the earlier value

(b) Half of the earlier value

(c) Quarter of its earlier value

(d) Unchanged

Concept Questions :-

Magnetic field due to various cases
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Which of the following gives the value of the magnetic field according to, Biot-Savart’s law :

(a)  ilsinθr2                               (b)  μ04πilsinθr

(c)  μ04πilsinθr2                          (d)   μ04πilsinθ

 

Concept Questions :-

Biot-Savart law
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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

 

 

Concept Questions :-

Magnetic field due to various cases
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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 

     

(a) μ0i/r                               (c) Zero

(b) 4μ0i/r                              (d) μ0i/4r

Concept Questions :-

Magnetic field due to various cases
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The ratio of the magnetic field at the centre of a current-carrying coil of the radius 'a' and at a distance ‘a’ from centre of the coil along the axis of the coil is:

1. 12                              2. 2 

3. 122                             4. 22 

Concept Questions :-

Magnetic field due to various cases
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The earth’s magnetic field at a given point is 0.5×10-5Wb-m-2. This field is to be annulled by magnetic induction at the center of a circular conducting loop of radius 5.0cm. The current required to be flown in the loop is nearly :

(a) 0.2 A                   (b) 0.4A

(c) 4A                       (d) 40A

Concept Questions :-

Magnetic field due to various cases
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A part of a long wire carrying a current i is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is

                         

(a) μ0i4r                                 (c) μ0i2πrπ+1

(b) μ0i2r                                 (d) μ0i2πrπ-1

Concept Questions :-

Magnetic field due to various cases
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In the figure, what is the magnectic field at the point O

        

(a) μ0I4πr                                   (c) μ0I4r+μ0I4πr

(b) μ0I4πr+μ0I2πr                         (d) μ0I4r-μ0I4πr

Concept Questions :-

Magnetic field due to various cases
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The magnetic moment of a current (i) carrying circular coil of radius (r) and number of turns (n) varies as :

(a) 1/r2                             (b) 1/r

(c) r                                   (d) r2

Concept Questions :-

Magnetic moment
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