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Electric Potential Function The electric potential
Chapter 11, Problem 37E(choose chapter or problem)
Electric potential function The electric potential function for two positive charges, one at (0,1) with twice the strength as the charge at (0,-1), is given by
\(\varphi(x, y)=\frac{2}{\sqrt{x^{2}+(y-1)^{2}}}+\frac{1}{\sqrt{x^{2}+(y+1)^{2}}}\)
(a) Graph the electric potential using the window \([-5,5] \times[-5,5] \times[0,10]\)
(b) For what values of x and y is the potential \(\varphi\) defined?
(c) Is the electric potential greater at (3,2) or (2,3)?
(d) Describe how the electric potential varies along the line y=x.
Questions & Answers
QUESTION:
Electric potential function The electric potential function for two positive charges, one at (0,1) with twice the strength as the charge at (0,-1), is given by
\(\varphi(x, y)=\frac{2}{\sqrt{x^{2}+(y-1)^{2}}}+\frac{1}{\sqrt{x^{2}+(y+1)^{2}}}\)
(a) Graph the electric potential using the window \([-5,5] \times[-5,5] \times[0,10]\)
(b) For what values of x and y is the potential \(\varphi\) defined?
(c) Is the electric potential greater at (3,2) or (2,3)?
(d) Describe how the electric potential varies along the line y=x.
ANSWER:Solution 37E
Step 1:
Given that
The electric potential function for two positive charges, one at (0, l) with twice the strength as the charge at (0, − l), is given by
