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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∑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=9×109(1×10-70.3+2.5×101-80.7)=3.3kV

for point 'a'.

Point b, on the other hand, will have

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

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

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Most popular questions from this chapter

A room with 3.0-m-high ceilings has a metal plate on the floor with V = 0 V and a separate metal plate on the ceiling. A 1.0 g glass ball charged to +4.9 nC is shot straight up at 5.0 m/s. How high does the ball go if the ceiling voltage is (a) +3.0×106Vand (b) -3.0×106V?

FIGURE P25.69 shows a thin rod of length L and charge Q. Find an expression for the electric potential a distance x away from the center of the rod on the axis of the rod.

FIGUREQ25.11shows three points near two point charges. The charges have equal magnitudes. For each part, rank in order, from most positive to most negative, the potentials Vato Vc.

The arrangement of charges shown in FIGURE P25.68 is called a linear electric quadrupole. The positive charges are located aty=±s. Notice that the net charge is zero. Find an expression for the electric potential on the y-axis at distancesy>>s. Give your answer in terms of the quadrupole moment,Q=2qs2.

What is the speed of a proton that has been accelerated from rest through a potential difference of -1000V ?
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