Question

Question 1: Find the potential of an electric dipole at a point P some radius away by superposing the point charge potentials of the two charges. A diagram of the setup is shown below: P $r_+$ $r_-$ $r$ $\theta$ $+q$ $-q$ d Question 2: I'd like to use the answer to Question 1 to find the capacitance between two spheres of opposite charge distance $d$ apart, with some fixed radii $R$, but I won't necessarily get the right answer. Write why not. Estimate the required relationship between $d$ and $R$ to only get a 10% error.

          Question 1:
Find the potential of an electric dipole at a point P some radius away by superposing the point
charge potentials of the two charges. A diagram of the setup is shown below:
P
$r_+$ 
$r_-$ 
$r$
$\theta$
$+q$
$-q$
d
Question 2:
I'd like to use the answer to Question 1 to find the capacitance between two spheres of
opposite charge distance $d$ apart, with some fixed radii $R$, but I won't necessarily get the right
answer. Write why not. Estimate the required relationship between $d$ and $R$ to only get a 10%
error.

Show more…

Question 1:
Find the potential of an electric dipole at a point P some radius away by superposing the point
charge potentials of the two charges. A diagram of the setup is shown below:
P
r+
r-
r
θ
+q
-q
d
Question 2:
I'd like to use the answer to Question 1 to find the capacitance between two spheres of
opposite charge distance d apart, with some fixed radii R, but I won't necessarily get the right
answer. Write why not. Estimate the required relationship between d and R to only get a 10%
error.

Added by Carlos R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Emily Anderson

Step 1

The potential due to a point charge q at a distance r is given by V = kq/r, where k is the Coulomb constant. In the case of an electric dipole, we have two charges of equal magnitude but opposite sign separated by a distance 2a. The potential at a point P some Show more…

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Question 1: Find the potential of an electric dipole at a point P some radius away by superposing the point charge potentials of the two charges diagram of the setup is shown below: +q Question 2: Id like to use the answer to Question 1 to find the capacitance between two spheres of opposite charge distance d apart, with some fixed radii R, but won't necessarily get the right answer Write why not_ Estimate the required relationship between d and R to only get a 10% error

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