AIIMS2018Physics-Magnetism

AIIMS 2018 Physics Magnetic Field in Solenoids MCQ Question

Type: MCQ-numerical-Medium-Class 12

A solenoid of length 0.6 m has a radius of 2 cm and is made up of 600 turns. If it carries a current of 4 Å, then the magnitude of the magnetic field inside the solenoid.

A

6.024×10⁻³ T

B

8.024×10⁻³ T

C

5.024×10⁻³ T

D

7.024×10⁻³ T

Correct Answer

Option C

Detailed Explanation

To find the magnetic field BB inside a solenoid, we use the formula B=μ0nIB = \mu_0 \cdot n \cdot I, where μ0=4π×107T m/A\mu_0 = 4\pi \times 10^{-7} \, \text{T m/A} is the permeability of free space, nn is the number of turns per unit length, and II is the current. For this solenoid, n=600turns0.6m=1000turns/mn = \frac{600 \, \text{turns}}{0.6 \, \text{m}} = 1000 \, \text{turns/m} and I=4AI = 4 \, \text{A}, leading to B=4π×107100045.024×103TB = 4\pi \times 10^{-7} \cdot 1000 \cdot 4 \approx 5.024 \times 10^{-3} \, \text{T}. The other options are incorrect as they do not match this calculated value, demonstrating a misunderstanding of the solenoid's magnetic field properties.

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