A particle of charge -16 × 10⁻¹⁸ coulomb moving with velocity 10ms⁻¹ along the x -axis enters a region where a magnetic field of induction B is along the y -axis, and an electric field of magnitude 10⁴V/m is along the negative z -axis. If the charged particle continues moving along the x -axis, the magnitude of B is (a) 10³Wb/m² (b) 10⁵ Wb/m² (c) 10¹⁶ Wb/m² (d) 10⁻³ Wb/m²

Answer: (a). Moving undeflected along x ⇒ |q|E = |q|vB (the sign of q cancels) B = E/v = 10⁴10 = 10³ Wb/m² So the answer is (a) 10³ Wb/m².

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Q122JEE Main 2003 · AIEEEEasy

Moving Charge in a Magnetic Field

A particle of charge $-16 \times 10^{-18}$ coulomb moving with velocity $10ms^{-1}$ along the $x$ -axis enters a region where a magnetic field of induction $B$ is along the $y$ -axis, and an electric field of magnitude $10^{4}V/m$ is along the negative $z$ -axis. If the charged particle continues moving along the $x$ -axis, the magnitude of $B$ is

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Answer: (a)

Moving undeflected along x $\Rightarrow |q|E = |q|vB$ (the sign of $q$ cancels)
$B = \dfrac{E}{v} = \dfrac{10^{4}}{10} = 10^{3}\text{ Wb/m}^2$
So the answer is (a) $10^{3}\text{ Wb/m}^2$ .

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