An electron (charge ) is projected with velocity into a uniform magnetic field .

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

An electron (charge q=−1.6×10−19 Cq=-1.6\times10^{-19}\,\text{C}) is projected with velocity v⃗=(4i^−6j^)×106 m s−1\vec v=(4\hat i-6\hat j)\times10^{6}\,\text{m s}^{-1} into a uniform magnetic field B⃗=0.20 k^ T\vec B=0.20\,\hat k\,\text{T}. (i) Calculate the magnitude of the magnetic force acting on the electron. (ii) Write the force in unit-vector form, indicating its direction with respect to the coordinate axes.

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