A 1g particle with a charge of +100nC passes through 2 parallel plates, with equ

Question

A 1g particle with a charge of +100nC passes through 2 parallel plates, with equal and opposite charges, which generate a uniform electric field of magnitude 1x10^4 N/C. The particle is traveling parallel to the plates with an initial speed of 1 m/s. a) what force (a vector) does the particle feel as it passes through the plates? b) Assuming it takes 1 second to pass through the plates, determine the horizontal and vertical components of the velocity of the particle as it exits the plates. Indicate (qualitative) the direction of the velocity on the diagram below. (neglect any gravitational effects) Explain your reasoning and justify your answers.

Explanation / Answer

a) Force = qE(-i)= (100 x 10^-9)(10^4) = -0.001j N

b) horizontal velocity is same as initial velocity Vx = 1i m/s

force in vertical direction = -0.001j N

a = F/m = 0.001/0.001 = 1 m/s^2

it takes 1 second to pass thorugh the plates,

Vy = u + at

Vy = 0 - 1 x 1

Vy = -1 j m/s

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