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4.Moving Charges and Magnetism
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A magnetic field $\overrightarrow{\mathrm{B}}=\mathrm{B}_0 \hat{\mathrm{j}}$ exists in the region $\mathrm{a} < \mathrm{x} < 2 \mathrm{a}$ and $\vec{B}=-B_0 \hat{j}$, in the region $2 \mathrm{a} < \mathrm{x} < 3 \mathrm{a}$, where $\mathrm{B}_0$ is a positive constant. $\mathrm{A}$ positive point charge moving with a velocity $\overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{\dot{i}}$, where $v_0$ is a positive constant, enters the magnetic field at $x=a$. The trajectory of the charge in this region can be like,

A

B

C

D

(IIT-2007)
Solution
for $\mathrm{a} < \mathrm{x} < 2 \mathrm{a} \quad$ path will be concave upward $2 \mathrm{a} < \mathrm{x} < 3 \mathrm{a} \quad$ path will be concave downward
Standard 12
Physics