Electric Field Direction of a Semicircular Rod
Published:
Soru 7
Negative charge $-Q$ is uniformly distributed on a semicircular rod. What is the direction of the electric field at point P, the center of the semicircle?
[İmage displaying a semicircular rod centered at P with charge $-Q$]
Lütfen birini seçin:
a. $\rightarrow$
b. $\nearrow$
c. $\leftarrow$
d. $\downarrow$
e. $\uparrow$
This question includes visual content: A diagram shows a semicircular rod located below a point P, which marks the center of the semicircle. The rod is curved like a bowl (opening upwards). A label '-Q' is placed below the center of the curve, indicating a negative charge distribution. Point P is located directly above the lowest part of the rod. Below this, there are five multiple choice options represented by arrows pointing in different directions: (a) right, (b) diagonally up-right, (c) left, (d) down, and (e) up.
Animated Video Solution
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Step by Step Written Solution
In this problem, we need to determine the direction of the net electric field at the center of a semicircular rod that is uniformly distributed with a negative charge, negative q.
Problem Analysis
First, we recall that the electric field produced by a negative charge at a point in space always points toward the charge. This is a fundamental concept in electrostatics.
Let's draw a diagram to visualize how different segments of the rod contribute to the total field at point P.
Geometric Symmetry
Consider two small charge elements, d q, located at symmetric positions on the left and right sides of the semicircle.
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