A charge has instantaneous velocity in a uniform magnetic field

PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A charge q=−4 μCq=-4\,\mu\text{C} has instantaneous velocity v=(2i^−3j^+k^)×106 m s−1\mathbf{v}=(2\hat{\mathbf{i}}-3\hat{\mathbf{j}}+\hat{\mathbf{k}})\times10^6\,\text{m s}^{-1} in a uniform magnetic field B=(2i^+5j^−3k^)×10−2 T\mathbf{B}=(2\hat{\mathbf{i}}+5\hat{\mathbf{j}}-3\hat{\mathbf{k}})\times10^{-2}\,\text{T}. What is the force on the charge?

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