A laboratory electromagnet produces a magnetic field of magnitude 1.40 T. A prot

Question

A laboratory electromagnet produces a magnetic field of magnitude 1.40 T. A proton moves through this field with a speed of 5.62 times 10^4 m/s (a) Find the magnitude of the maximum magnetic force that could be exerted on the proton. (b) What is the magnitude of the maximum acceleration of the proton? m/s^2 (C) Would the field exert the same magnetic force on an election moving through the field with the same speed? (Assume that the electron is moving in the same direction as the proton.) Yes No (d) Would the election undergo the same acceleration? Yes No

Explanation / Answer

a) Force on proton = q vB = 1.6 x 10^-19 ( 5.62 x 10^6) ( 1.40 ) = 12.589 x 10^ -13 N apprx

b) a= F/ m = ( 12.589 x 10^ -13 )/ 1.67 x 10^-27 = 7.538 x 10^ 14 m/s^2

c)Yes, force depends upon charge, velocity and magnetic field, all three are same for electron

d) no acceleration would be different as the mass of electron is different from proton: No

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