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NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - JEE MCQ


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5 Questions MCQ Test - NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop

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NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 1

A circular loop of radius 3 cm is having a current of 12.5 A. The magnitude of magnetic field at a distance of 4 cm on its axis is

Detailed Solution for NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 1


Here, I = 12.5 A, R = 3 cm = 3 x 10-2
x = 4 cm = 4 x 10-2 m
∴ 

NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 2

A straight wire carrying a current of 13 A is bent into a semi-circular arc of radius 2 cm as shown in figure. The magnetic field is 1.5 x 10-4 T at the centre of arc, then the magnetic field due to straight segment is

Detailed Solution for NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 2

Since dl and r for each element of the straight segments are parallel. Therefore

Hence, B is also zero.

NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 3

A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A. The magnitude of magnetic field at the centre of the coil is

Detailed Solution for NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 3

Here N = 100
R = 9 cm = 9 x 10-2 m and I = 0.4 A 
Now, 
 0.279 x 10-3 T = 2.7 9 x 10-4 T 

NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 4

The magnitude of the magnetic field at the centre of the tightly wound 150 turn coil of radius 12 cm carrying a current of 2 A is

Detailed Solution for NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 4

Here, N = 150, R = 12 cm = 12 x 10-2 m, I = 2 A 

= 1.57 x 10-3T = 15.7 x 10-4 T = 15.7 G

NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 5

A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4 x 10-4 T at its centre. The current flowing through it is

Detailed Solution for NCERT Based Test: Magnetic Field on the Axis of a Circular Current Loop - Question 5

Here, N = 90
R = 15 cm = 15 x 10-2m, B = 4 x 10-4 T
∵ B = μ0NI/2R 

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