a) Calculate the X and Y components of dipole moment of this dipole. b) Calculate the electric potential at point P due to this dipole. PartII Now suppose, we have a continuous charge distribution D for which potential at any point (x,y) in the xy plane is given by, V(x,y)=3xy(mx+n), where V is in volt, coordinates x, y are in meter, m, n both are constant and m=1N/Cm2, n=1N/Cm. c) Calculate the potential at point P due to continuous charge distribution D only.

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter30: Atomic Physics
Section: Chapter Questions
Problem 41PE: Repeat Exercise 30.40 for l=3.
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Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Mass of one proton, mp=1.6726219×10−27kg, Charge of one proton, ep=1.60217662×10−19C Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .

PartI

Suppose, We have a dipole where 3 charges q1=3e,q2=2e,q3=−5e are placed on the vertices of the square as shown in the figure given above. Side length of the square is 3nm.

a) Calculate the X and Y components of dipole moment of this dipole.

b) Calculate the electric potential at point P due to this dipole.

PartII

Now suppose, we have a continuous charge distribution D for which potential at any point (x,y) in the xy plane is given by, V(x,y)=3xy(mx+n), where V is in volt, coordinates x, y are in meter, m, n both are constant and m=1N/Cm2, n=1N/Cm.

c) Calculate the potential at point P due to continuous charge distribution D only.

 

 

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