Question

Two point charges qa and qb are located on the x-axis at x = a and x = b. FIGURE EX25.34 is a graph of V, the electric potential.

a. What are the signs of qa and qb?

b. What is the ratio $qa/qb$?

c. Draw a graph of Ex, the x-component of the electric field, as a function of x.

Short answer

a. The signs of qa and qb are positive.

b. The ratio of qa/qb is 1

c. The graph of Ex is

Step-by-step solution

The signs of qa and qb 

The signs of q_a and q_b are positive as shown in the graph;

Ratio of Two Charges 

The ratio of two charges is 1 because two of the charges are positive and there is the same magnitude observed in this process.

Graph of Ex 

As d is the distance of the two point charge and x side distance from the charge. d-x is right sides of the charge .

Applying all data

$E=\frac{q}{4{\mathrm{\pi \epsilon }}_0}\left(\frac{1}{x^2}+\frac{1}{{\left(d-x\right)}^2}\right)$

The value is decreased to get close midpoint between two points charge