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Chapter 25: Q. 66 (page 712)

FIGURE P25.66 shows two uniformly charged spheres.

What is the potential difference between pointsaandb?

Which point is at the higher potential?

Short Answer

Expert verified

The potential at point 'b' is larger.

Step by step solution

01

Given information and theory used

Given figure :

Theory used :

The potential for each point will be determined as V=k鈭�iqiri,

wherer is the distance between the point in question and the charge q.

02

Determining the potential difference between points a and bwhich point is at the higher potential

It's important to remember that the electric potential is a scalar number, which means we may add the potentials from the two charges for each of the two places. We must also regard the spheres as point charges positioned in the center of the sphere.

The spheres' radii will undoubtedly be 30cmand5cm, respectively.

Having said that, we have

Va=9脳109(1脳10-70.3+2.5脳101-80.7)=3.3kV

for point 'a'.

Point b, on the other hand, will have

Vb=9脳109(1脳10-70.95+2.5脳101-80.05)=5.4kV

As a result of this, it is clear that the potential at point b is larger.

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