Please show me how to get the correct answer which was 28.02 Thank you! An unkno

Question

Please show me how to get the correct answer which was 28.02

Thank you!

An unknown charge with a mass of 4.3 x 10-10 kg is initially traveling in the positive x direction at 1,321 m/s at the origin in a uniform magnetic field which is initially 1.66 x 10-2 Tesla in the negative z direction. After the charge has traveled half of one full orbit, the magnetic field amount is suddenly changed to 3.89 x 10-2 Tesla (still in the negative z direction). It then travels half of one full orbit and ends up 1.4 meters above the origin on the y axis. What is the charge in micro-coulombs? Include a negative sign if the charge is negative.

Correct Answer: Correct 28.02 ± 10%

Explanation / Answer

here,

mass , m = 4.3 * 10^-10 kg

speed , v = 1321 m/s

Bi = 0.0166 T

Bf = 0.0389 T

r = m*v/(q*B)

let the charge be q

r1 - r2 = 1.4 m

r1 - r2 = m*v/q * ( 1/Bi - 1/Bf)

1.4 = 4.3 * 10^-10 * 1321 /q *( 1/0.0166 - 1/0.0389)

solving for q

q = 1.4 * 10^-5 C

q = 14 uC

the charge is 14 uC

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