A proton enters a region of uniform magnetic field of magnitude with a speed of

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

Problem

A proton enters a region of uniform magnetic field of magnitude

0.30\,\text{T}

with a speed of

2.0\times10^{7}\,\text{m s}^{-1}

, making an angle of

45^{\circ}

with the field. (i) Calculate the magnitude of the initial magnetic force on the proton. (ii) If the magnetic field is increased to

0.36\,\text{T}

while the speed and direction remain the same, determine the percentage change in the magnitude of the force.