Charges & Magnetism Test

Result

Charges & Magnetism Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

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

A
5.65 x 10^-5 T

B
5.27 x 10^-5T

C
6.54 x 10^-5T

D
9.20 x 10^-5T

Solution

Here, I = 12.5 A, R = 3 cm = 3 x 10^-2 m
x = 4 cm = 4 x 10^-2 m
∴
Question 2
1 / -0

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

A
1.5 x 10^-4T

B
2.5 x 10^-4T

C
zero

D
3 x 10^-4T

Solution

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

Hence, B is also zero.
Question 3
1 / -0

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

A
2.4 x 10^-4 T

B
3.5 x 10^-4 T

C
2.79 x 10^-4 T

D
3 x 10^-4 T

Solution

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
Question 4
1 / -0

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

A
18 G

B
19.7 G

C
15.7 G

D
17.7 G

Solution

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

= 1.57 x 10^-3T = 15.7 x 10^-4T = 15.7 G
Question 5
1 / -0

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

A
1.06 A

B
2.44 A

C
3.44 A

D
4.44 A

Solution

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