A proton, with mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C, is sent with velocity 7.1 × 104 m/s in the +x direction into a region where there is a uniform electric field of magnitude 730 V/m in the +y direction. What are the magnitude and direction of the uniform magnetic field in the region, if the proton is to pass through undeflected? Assume that the magnetic field has no x-component and neglect gravitational effects.
Draw a sketch of the problem • Identify “the system” by circling the object of interest • Establish a coordinate system and define symbols • Draw a motion diagram for “the system” and determine • Make a free-body diagram showing all the forces acting on “the system” • List knowns and desired unknowns
Write down Newton’s second law in component form • Use the free-body diagram to obtain the force components for Newton’s laws • Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value • Check units and assess if your answer is reasonable
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