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A proton and an electron are fixed in space with a separation of 815 nm. Calculate...

A proton and an electron are fixed in space with a separation of 815 nm. Calculate the electric potential at the midpoint between the two particles.

potential:

Find the magnitude of the electric field at the same point. magnitude of field: N/C

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Homework Answers

Answer #1

a)

Charge of proton qp=1.6*10-19 C

Charge of electron qe=-1.6*10-19 C

Electric potential due to point charge is given by

V=KQ/r

Net Electric potential at midpoint between the two charges is given by

VNet=KQ1/r1 +KQ2/r2 =(9*109)(1.6*10-19)[1/(815*10-9/2) -1/(815*10-9/2)]

VNet=0 Volts

b)

Electric field due to point charge is given by

E=KQ2/r2

Magnitude of electric field at midpoint

Enet=K|Q1|/r12+K|Q2|/r22 =(9*109)(1.6*10-19)[1/(815*10-9/2)2 + 1/(815*10-9/2)2​​​​​​​]

Enet=17343.52 N/C

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