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Chapter 26: Q. 5 (page 737)

a. Which point in Figure EX26.5, 'A' or 'B', has a larger electric potential?

b. What is the potential difference between 'A' and 'B'?

Short Answer

Expert verified

a. The point 'A' in Figure EX26.5has a larger electric potential.

b. The potential difference between 'A' and 'B' is -70V

Step by step solution

01

Given information and formula used  

Given figure :

Theory used :

1) Electric field lines point from high to low potential.

2) ∆V=-E·dx

02

Evaluating which point has a larger electric potential and the potential difference between 'A' and 'B'

(a) 'A' has a bigger potential than 'B' because the electric field lines point from high to low potential.

So,VA>VB

(b) The potential difference between 'A' and 'B' is :

role="math" localid="1649498158410" ∆V=-E·dx⇒VB-VA=-1000×7×10-2=-70V

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Most popular questions from this chapter

What are the charge on and the potential difference across each capacitor in FIGURE P26.57?

Consider a uniformly charged sphere of radius R and total cAlC charge Q. The electric field Eout outside the sphere(r≥R) is simply that of a point charge Q. In Chapter 24, we used Gauss's law to find that the electric field Ein inside the sphere(r≤R) is radially outward with field strength

Ein=14πϵ0QR3r

a. The electric potential Voutoutside the sphere is that of a point charge Q. Find an expression for the electric potentialVinat position r inside the sphere. As a reference, let Vin=Voutat the surface of the sphere.

b. What is the ratio Vcenter/Vsurface?

c. Graph V versus r for 0 ≤r ≤3 R.

An ideal parallel-plate capacitor has a uniform electric field between the plates, zero-field outside. By superposition, half the field strength is due to one plate and a half due to the other.

a. The plates of a parallel-plate capacitor are oppositely charged and attract each other. Find an expression in terms of C,∆Vcand the plate separation dfor the force one plate exerts on the other.

b. What is the attractive force on each plate of a 100pFcapacitor with a plate spacing when1.0mmcharged to 1000V?

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