Two unknown charges were initially certain distance (d) apart. Now the charges a

Question

Two unknown charges were initially certain distance (d) apart. Now the charges are brought together until they are 100 cm apart, causing the electric force between them to increase by a factor of exactly 5. (That is force is now 5F) What was their initial separation distance? A particle with charge of +5.0 Times 10^-4 C, and mass of 2.0 Times 10^-9 kg moves at 2.0 Times 10^3 m/s in the +x direction. If enters a uniform magnetic field of 0.20 T that's points in the +y direction, What will be magnitude of the force on this charged particle due to the magnetic field? Suppose magnetic field exists over a large area, large enough to trap the charged particle and continues to gyrate in the same circle, Calculate the radius of that circle, Calculate Period or time for one complete rotation.

Explanation / Answer

part 1 )

F = kq1q2/d^2

F' = kq1q2/1^1

F' = 5F

F/5F = 1/d^2

1/5 = 1/d^2

d = 2.236 m = 223.6 cm

part b )

F = qvB

F = 0.2 N

ii )

r = mv/qB

r = 0.04 m

iii)

T = 2pi*r/v

T = 1.257 x 10^-3 s

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