In a certain region, the earth\'s magnetic field has amagnitude of 4.7 x 10 -5 T

Question

In a certain region, the earth's magnetic field has amagnitude of 4.7 x 10-5 T and is directed north at anangle of 68° below the horizontal. An electrically chargedbullet is fired north and 13° above the horizontal, with aspeed of 500 m/s. The magnetic force on the bullet is 3.3 x10-10 N, directed due east. Determine the bullet'selectric charge, including its algebraic sign (+ or -).

In a certain region, the earth's magnetic field has amagnitude of 4.7 x 10-5 T and is directed north at anangle of 68° below the horizontal. An electrically chargedbullet is fired north and 13° above the horizontal, with aspeed of 500 m/s. The magnetic force on the bullet is 3.3 x10-10 N, directed due east. Determine the bullet'selectric charge, including its algebraic sign (+ or -).

Explanation / Answer

Magnetic field B = 4.7 * 10 ^ -5 T

Speed v = 500 m / s

Force F = 3.3 * 10 ^ -10 N

Angle between v and B is = 68 + 13 = 81 degrees

So, F = Bvq sin

From this charge   q = F / ( Bv sin )

                                = 1.4217 * 10 ^ -8 C

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