A positive charge and a negative charge are placed near one another and the volt

Question

A positive charge and a negative charge are placed near one another and the voltage map ofV(r) is shown to the right.

1.The values of two equipotential curves is given. Calculate the difference in voltage between the two points.

2.What is the work done to move a third charges of 2.0X10^-6 C from the low potential to the high potential?

3.This third charged particle has a mass of 3.5x10^-6 kg and is released from rest at the high potential.

a. Determine the KE of the charge when it has reached its original starting level at the lower potential.

b. Determine the speed of the charge when it reaches the lower potential.

Ignoring the third charge and focusing solely on the map above, draw three E-field lines. Be sure that they follow all of the rules for how filed lines should behave.

Set of parallel plates has a potential difference of 10000V. The plates are 10.0 CM apart. Calculate the magnitude of the electric field between the plates.

Calculate the KE of an electron that is released from the negative plate as it reaches the positive plate(answer in both J and eV)

Explanation / Answer

1)

dV = v1 - v2 = 100 - (-40) = 140 V

2)

W = dV*q = 140*2*10^-6 = 280*10^-6 J

3)

a)

KE = W = 280*10^-6 J

b)

KE = 0.5*m*v^2

v = sqrt(2*280*10^-6/(3.5*10^-6)) = 12.5 m/s

----------

E = V/d = 10000/0.1 = 10^5 V/m

KE = V*e = 10^4*1.6*10^-19 = 1.6*10^-15 J

KE = 10^4 ev

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