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1.) A pair of charged conducting plates produces a uniform field of 12,000 N/C,

ID: 3161287 • Letter: 1

Question

1.) A pair of charged conducting plates produces a uniform field of 12,000 N/C, directed to the right, between the plates. The separation of the plates is 40 mm. An electron is projected from plate A on the left, directly toward plate B on the right, with an initial speed of v0 = 2E7 m/s. What is the speed of the electron as it strikes plate B?  m/s.

2.) Two charges of ±6.00 µC on the x-axis. the negative charge is at -5 cm and the positive one is at 5 cm. Find the magnitude of the electric field at point P on the y-axis, which is 7.00 cm from each charge.  N/C

Explanation / Answer

here,

electric feild , E = 12000 N/C

the electric feild opposes the motion of electron

the magnitude of accelration on electron due to the electric feild , a = - e * E /me

a = - 1.6 * 10^-19 * 12000 /( 9.1 * 10^-31)

a = - 2.11 * 10^15 m/s^2

distance travelled , d = 40 mm = 0.04 m

initial velocity , v0 = 2 * 10^7 m/s

let the final velocity of the electron be v

v^2 - v0^2 = 2 * a * d

v^2 - (2 * 10^7)^2 = 2 * 0.04 * 2.11 * 10^15

v = 1.52 * 10^7 m/s

the final speed of electron is 1.52 * 10^7 m/s