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IP Referring to Example 20-3 Suppose the charge -2q at x =
Chapter 20, Problem 110IP(choose chapter or problem)
Problem 110IP
IP Referring to Example 20-3 Suppose the charge -2q at x = 1.00 m is replaced with a charge -3q, where q = 4.11 ×10-9 C. The charge +q is at the origin, (a) Is the electric potential positive, negative, or zero at the point x = 0.333 m? Explain. (b) Find the point between x = 0 and x = 1.00 m where the electric potential vanishes, (c) Is there a point in the region x < 0 where the electric potential passes through zero?
Questions & Answers
QUESTION:
Problem 110IP
IP Referring to Example 20-3 Suppose the charge -2q at x = 1.00 m is replaced with a charge -3q, where q = 4.11 ×10-9 C. The charge +q is at the origin, (a) Is the electric potential positive, negative, or zero at the point x = 0.333 m? Explain. (b) Find the point between x = 0 and x = 1.00 m where the electric potential vanishes, (c) Is there a point in the region x < 0 where the electric potential passes through zero?
ANSWER:
Step 1 of 3:-
a)
Here, we have to find whether the electric potential will be positive, negative or zero at x = 0.333m.
The -2q charge was at x = 1 m.
The charge was placed by a -3q charge later.
Where,
.
At the origin, the charge is +q.
The potential at x = 0.33 m due to charge +q at the origin will be,
.
The potential at x = 0.33 m due to charge -3q at the x = 1 m will be,
.
The net potential at x = 0.33 m will be,
.
So, the potential will be negative.