In a certain region, the earth\'s magnetic field has a magnitude of 4.8 Ý 10 -5

Question

In a certain region, the earth's magnetic field has a magnitude of 4.8 Ý 10-5 T and is directed north at an angle of 46° below the horizontal. An electrically charged bullet is fired north and 19° above the horizontal, with a speed of 850 m/s. The magnetic force on the bullet is 3.7 Ý 10-10 N, directed due east. Determine the bullet's electric charge, including its algebraic sign (+ or -).

In a certain region, the earth's magnetic field has a magnitude of 4.8 A 10-5 T and is directed north at an angle of 46A degree below the horizontal. An electrically charged bullet is fired north and 19A degree above the horizontal, with a speed of 850 m/s. The magnetic force on the bullet is 3.7 A 10-10 N, directed due east. Determine the bullet's electric charge, including its algebraic sign (+ or -).

Explanation / Answer

e=F/[BVsin(theta)]

theta=46+19=65

e=(3.7*10^-10)/[(4.8*10^-5)*850*(sin(65))]

Because of the right hand rule, the charge is negative

so e=1.00*10^-8

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