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Electric Potential Difference

5.10 Problems

5.1) What potential difference is

needed to stop an electron with an

initial speed of 4.2×10 5 m/s?

5.2) An ion accelerated through a

potential difference of 115V

experiences an increase in potential

energy of 7.37×10 -17 J. Calculate the

charge on the ion.

5.3) How much energy is gained by

a charge of 75 µC moving through

a potential difference of 90V?

5.4) An infinite charged sheet has a

surface charge density σ of 1.0×10 -

7 C/m 2 . How far apart are the

equipotential surfaces whose

potentials differ by 5.0 V?

5.5) At what distance from a point

charge of 8µC would the potential

equal 3.6×10 4 V?

5.6) At a distance r away from a

point charge q, the electrical

potential is V=400V and the

magnitude of the electric field is

E=150N/C. Determine the value of

q and r.

5.7) Calculate the value of the

electric potential at point P due to

the charge configuration shown in

Figure 5.19. Use the values

q 1 =5µC, q 2 =-10µC, a=0.4m, and

b=0.5m.

b

q 1

+ -

a

P

q 2

q 1 b q 2

a

+ -

Figure 5.19

5.8) Two point charges are located

as shown in Figure 5.20, where

q l =+4µC, q 2 =-2µC, a=0.30m, and

b =0.90m. Calculate the value of

the electrical potential at points P 1 ,

and P 2 . Which point is at the

higher potential?

q 1

a

q 2

b

a

-

x

P 1

P 2

b

y

+

Figure 5.20

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