The following are conceptual problems. Write 1-3 sentences for each question. (a

Question

The following are conceptual problems. Write 1-3 sentences for each question.
(a) How can a charged test particle be used to determine the electric eld at a point P caused by a chargedsource object located nearby?

(b) In dierent experimental trials, an electron and a doubly charged oxygen atom (O ) are red withina vacuum tube. The particles start out at 0 V and move through a potential dierence of V = +50V. Which particle has the greater kinetic energy after moving through a V of 50 V? Which particle has the higher velocity? Explain your answer.

(c) What is the distinction between the electric potential dierence in an electric eld and the electricpotential at any point in the eld?

Explanation / Answer

a:

Electric field of test charge q is given by

E = KQ/r^2

K is constant = 9e9

Q is charge

r is the distance

-----------------------------

KE = eV

0.5 mv^2 = eV

speed v = sqrt(2eV/m)

so

v depends on mass and PD applied

more PD , larger the spped

and
less the mass of charged particle, more is the Velocity

------------------------------------------------

Electric field E = KQ/r^2

Electric potential V = KQ/r

so

E = integral dV/dr

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