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Chapter 26: Q. 22 (page 738)
What is the capacitance of the two metal spheres shown in Figure EX26.22?
The capacitance of this system is.
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What are the magnitude and direction of the electric field at the dot in Figure EX26.8?
What is the potential difference between and in the uniform electric field ?
Find expressions for the equivalent capacitance of
(a) identical capacitors in parallel and
(b) identical capacitors in series.
An electric dipole at the origin consists of two charges q spaced apart along the y-axis.
a. Find an expression for the potential V(x, y) at an arbitrary point in the xy-plane. Your answer will be in terms of q, s, x, and y.
b. Use the binomial approximation to simplify your result from part a when s V x and s V y.
c. Assuming s V x and y, find expressions for Ex and Ey, the components of E u for a dipole.
d. What is the on-axis field E? Does your result agree with Equation 23.10?
e. What is the field E u on the bisecting axis? Does your result agree with Equation 23.11?
Rank in order, from largest to smallest, the potential differences of the four capacitors in Figure Q26.12. Explain.
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