Magnetic field in a region is given by B→=(i^+2j^−4k^)T . A test charge moving with velocity v→=(3i^-j^+2k^)m/s goes undeflected through the region. The electric field present in the region (in N/C) is

F=q(E→+v→×B→)q(E→+v→×B→)=0⇒E→=B→×V→=−14j^−7k^

Magnetic field in a region is given by B→=(i^+2j^−4k^)T . A test charge moving with velocity v→=(3i^-j^+2k^)m/s goes undeflected through the region. The electric field present in the region (in N/C) is

F=q(E→+v→×B→)q(E→+v→×B→)=0⇒E→=B→×V→=−14j^−7k^

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Magnetic field in a region is given by $\vec{B} = (\hat{i} + 2 \hat{j} - 4 \hat{k}) T$ . A test charge moving with velocity $\vec{v} = (3 \hat{i} - \hat{j} + 2 \hat{k}) m / s$ goes undeflected through the region. The electric field present in the region (in N/C) is

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$- 14 \hat{i} - 7 \hat{j}$

$- 3 \hat{i} + 2 \hat{j} + 4 \hat{k}$

$- 14 \hat{j} - 7 \hat{k}$

$\hat{i} - \hat{j} + 2 \hat{k}$

answer is D.

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$\begin{array}{l} F = q (\vec{E} + \vec{v} \times \vec{B}) \\ q (\vec{E} + \vec{v} \times \vec{B}) = 0 \Rightarrow \vec{E} = \vec{B} \times \vec{V} = - 14 \hat{j} - 7 \hat{k} \end{array}$

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Magnetic field in a region is given by B→=(i^+2j^−4k^)T . A test charge moving with velocity v→=(3i^-j^+2k^)m/s goes undeflected through the region. The electric field present in the region (in N/C) is

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Magnetic field in a region is given by $\vec{B} = (\hat{i} + 2 \hat{j} - 4 \hat{k}) T$ . A test charge moving with velocity $\vec{v} = (3 \hat{i} - \hat{j} + 2 \hat{k}) m / s$ goes undeflected through the region. The electric field present in the region (in N/C) is