Problem 112IP

IP Referring to Example 20-3 Suppose the charge +q at the origin is replaced with a charge +5q, where q = 4.11 × 10-9 C. The charge -2q is still at x = 1.00 m. (a) Is there a point in the region x<0 where the electric potential passes through zero? (b) Find the location between x = 0 and x = 1.00 m where the electric potential passes through zero, (c) Find the location in the region x > 1.00 m where the electric potential passes through zero.

Solution 112 IP:

Step 1 of 3:-

a)

Here, we have to find if there is a point at x < 0, where the potential vanishes.

Now, at the origin the charge is +5 q.

The charge -2q is at x = 1 m.

Let’s take the point is x m far from the origin in the -ve x axis.

The potential equation will be,

So, at the point x = -1.66 m, the potential vanishes and it is x < 0.