Magnetic Effect of Current – JEE Advanced Previous Year Questions with Solutions

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Simulator

Electrical resistance of certain materials, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature $\mathrm{T}_{\mathrm{C}}$ (0). An interesting property of superconductors is that their critical temperature becomes smaller than $\mathrm{T}_{\mathrm{C}}$ (0) if they are placed in a magnetic field, i.e., the critical temperature $\mathrm{T}_{\mathrm{C}}$ (B) is a function of the magnetic field strength B. The dependence of $\mathrm{T}_{\mathrm{C}}$ (B) on B is shown in the figure.
A charged particle (electron or proton) is introduced at the origin (x = 0, y = 0, z = 0) with a given initial velocity $\overrightarrow{\mathbf{v}}$. A uniform electric field $\overrightarrow{\mathrm{E}}$ and a uniform magnetic field $\overrightarrow{\mathrm{B}}$ exist everywhere. The velocity $\overrightarrow{\mathbf{V}}$, electric field $\overrightarrow{\mathrm{E}}$ and magnetic field $\overrightarrow{\mathrm{B}}$ are given in column 1, 2 and 3, respectively. The quantities $E_{0}, B_{0}$ are positive in magnitude.