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CE Two point charges arc placed on the x axis. The charge
Chapter 20, Problem 81GP(choose chapter or problem)
Problem 81GP
CE Two point charges arc placed on the x axis. The charge +2q is at x = 1.5 m, and the charge —q is at x = −1.5 m. (a) There is a point on the x axis between the two charges where the electric potential is zero. Where is this point? (b) The electric potential also vanishes at a point in one of the following regions: region 1, x between 1.5 m and 5.0 m; region 2, x between −1.5 m and −3.0 m; region 3, x between −3.5 m and −5.0 m. Identify the appropriate region, (c) Find the value of x referred to in part (b).
Questions & Answers
QUESTION:
Problem 81GP
CE Two point charges arc placed on the x axis. The charge +2q is at x = 1.5 m, and the charge —q is at x = −1.5 m. (a) There is a point on the x axis between the two charges where the electric potential is zero. Where is this point? (b) The electric potential also vanishes at a point in one of the following regions: region 1, x between 1.5 m and 5.0 m; region 2, x between −1.5 m and −3.0 m; region 3, x between −3.5 m and −5.0 m. Identify the appropriate region, (c) Find the value of x referred to in part (b).
ANSWER:
Solution 81 GP:
Step 1 of 3:-
Here, we have to find the point on X-axis where the electric potential vanishes.
The charges are,
.
The respective positions are,
.
The distance between the two charges is,
.
The respective potentials are,
The condition is, the electric potential will be zero.
So,
.
So, at a distance of 2 m from 2q charge, the electric potential will be zero.
.
The point on x-axis where the potential will be zero is (-0.5 m, 0).