Problem

Problem

A particle with charge 7.80μC7.80 \mu\text{C} is moving with velocity v=−(3.80×103 m/s)j^\mathbf{v} = -(3.80 \times 10^3 \text{ m/s})\hat{\mathbf{j}} . The magnetic force on the particle is measured to be F=+(7.60×10−3 N)i^−(5.20×10−3 N)k^\mathbf{F} = +(7.60 \times 10^{-3} \text{ N})\hat{\mathbf{i}} - (5.20 \times 10^{-3} \text{ N})\hat{\mathbf{k}} . a. - Calculate the components of the magnetic field you can find from this information. b. - Are the components of the magnetic field that are not determined by the measurement of the force? Explain. c. - Calculate the scalar product B⋅F\mathbf{B} \cdot \mathbf{F} . What is the angle between B\mathbf{B} and F\mathbf{F}?

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