A particle of charge has velocity inside a uniform magnetic field .

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A particle of charge +2.0 μC+2.0\,\mu\text{C} has velocity v⃗=(3 i^+4 j^−2 k^)×104 m s−1\vec v=(3\,\hat i+4\,\hat j-2\,\hat k)\times10^{4}\,\text{m s}^{-1} inside a uniform magnetic field B⃗=(2 i^−1 j^+5 k^)×10−3 T\vec B=(2\,\hat i-1\,\hat j+5\,\hat k)\times10^{-3}\,\text{T}. (i) Calculate the magnetic force on the particle in unit–vector form. (ii) Determine the magnitude of this force. (iii) Find the acute angle that the force vector makes with the positive xx–axis.

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