Q. 35 The two halves of the rod in FIG... [FREE SOLUTION]

Chapter 25: Q. 35 (page 710)

The two halves of the rod in FIGURE EX25.35 are uniformly charged to {Q. What is the electric potential at the point indicated by the dot?

Short Answer

Expert verified

The electric potential at the dot point is zero

Step by step solution

Theory of electric potential at the charge point

The left side has indicted as positive side +Q whose length is $\frac{1}{2}$ and the right side is negative -Q whose length is $\frac{1}{2}$ .

A the potential energy of a charge is

$V = \frac{1}{(4 蟺蔚_{0})} (- 鈭� q / \sqrt{{(d)}^{2} + {(x)}^{2}})$ due to the negative charge at point P.

$鈭� q$ has divided in both positive and negative charge based on the direction from the central point of the rod.

$V = \frac{1}{(4 蟺蔚_{0})} (鈭� q / \sqrt{{(d)}^{2} + {(x)}^{2}})$ due to the positive charge at point P.

Step 2: Theory of net charge equation

Total summation of both charge is

$\begin{array}{rcl} V & = & V_{+} + V_{-} = [\frac{1}{(4 蟺蔚_{0})} (- 鈭� q / \sqrt{{(d)}^{2} + {(x)}^{2}})] + [V = \frac{1}{(4 蟺蔚_{0})} (鈭� q / \sqrt{{(d)}^{2} + {(x)}^{2}})] \\ = & 0 \end{array}$

The electric potential at the P point is zero volt

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91影视

The two halves of the rod in FIGURE EX25.35 are uniformly charged to {Q. What is the electric potential at the point indicated by the dot?

Short Answer

Step by step solution

Theory of electric potential at the charge point

Step 2: Theory of net charge equation

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