AIIMS2018Physics-Magnetism

AIIMS 2018 Physics Magnetic Field MCQ Question

Type: MCQ-numerical-Medium-Class 12

A wire of length 3 cm3\text{ cm} has current 1 amp1\text{ amp}. Find magnetic field at a perpendicular distance 1 cm1\text{ cm} from the centre of wire.

Question diagram
A

2.11×107 T2.11 \times 10^{-7}\text{ T}

B

1.67×105 T1.67 \times 10^{-5}\text{ T}

C

1.16×106 T1.16 \times 10^{-6}\text{ T}

D

0

Correct Answer

Option B

Detailed Explanation

To find the magnetic field BB, we substitute the given values into the expression B=μ0I2πdsinϕB = \frac{\mu_0 I}{2\pi d} \sin \phi. With μ0=4π×107T m/A\mu_0 = 4\pi \times 10^{-7} \, \text{T m/A}, d=0.01md = 0.01 \, \text{m}, and sinϕ=1.53.250.826\sin \phi = \frac{1.5}{\sqrt{3.25}} \approx 0.826, we calculate BB to be approximately 1.67×105T1.67 \times 10^{-5} \, \text{T}. Other options are marked as N/A, indicating they do not provide valid answers or calculations relevant to the question. This exercise reinforces the application of the Biot-Savart law in determining the magnetic field generated by a current-carrying conductor.

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