AIIMS2019Physics-Electromagnetism

AIIMS 2019 Physics Moving Charges and Magnetism MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Ratio of electric and magnetic field due of moving point charge if its speed is 4.5×10⁵ m/s

A

2×10¹¹

B

3×10¹¹

C

2×10⁸

D

3×10¹²

Correct Answer

Option A

Detailed Explanation

The ratio of the electric field (E) to the magnetic field (B) due to a moving point charge can be derived from the relationship E=kqr2E = k \frac{q}{r^2} and B=μ04πqvr2B = \frac{\mu_0}{4\pi} \frac{qv}{r^2}, where kk is Coulomb's constant, qq is the charge, vv is the velocity, and rr is the distance from the charge. This leads to the ratio EB=cμ0\frac{E}{B} = \frac{c}{\mu_0}, where cc is the speed of light, resulting in a value of approximately 2×10112 \times 10^{11} for v=4.5×105m/sv = 4.5 \times 10^5 \, \text{m/s}. Other options are incorrect as they do not align with the derived ratio based on the fundamental principles of electromagnetism.

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