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Chapter 26: Q. 10 (page 737)

Determine the magnitude and direction of the electric field at points 1 and 2 in Figure EX26.10.

Short Answer

Expert verified

The magnitude and direction of the electric field

a) At point 1 : 2.5kV/m, Downwards

b) At point 2 :5kV/m, Upwards

Step by step solution

01

Given information and formula used  

Given figure :

Theory used :

The electric field is directed towards the decreasing potential and has a magnitude equal to the rate of change of the potential.

The electric field will be equal to the potential difference divided by the distance between these potentials. That is to say,

E=∆Vd

02

Determining the magnitude and direction of the electric field at the dot in the figure  

The potential will be diminishing in direction, thus point 1 will be down and point 2 will be up.

The magnitude will be the difference in potential between the two adjacent surfaces divided by their distance, assuming the field is constant between the dotted equipotential surfaces. That is,

|E1|=75-250.02=2.5kV/mfor point 1, and

|E2|=75-250.01=5kV/mfor point 2.

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Most popular questions from this chapter

Charge is uniformly distributed with charge density \rho inside Calc a very long cylinder of radius R. Find the potential difference between the surface and the axis of the cylinder.

An infinitely long cylinder of radius Rhas linear charge density I. The potential on the surface of the cylinder isV0, and the electric field outside the cylinder is localid="1648568519666" Er=λ/2π∈0r. Find the potential relative to the surface at a point that is distance r from the axis, assuming localid="1648568540457" r>R.

In Problems 75 through 77, you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation (s).

b. Finish the solution to the problem.

77. 13μF+16μF-1+C=4μF

Two 5.0 mm * 5.0 mm electrodes are held 0.10 mm apart and are attached to a 9.0 V battery. Without disconnecting the battery, a 0.10-mm-thick sheet of Mylar is inserted between the electrodes. What are the capacitor’s potential difference, electric field, and charge

(a) before and

(b) after the Mylar is inserted?

What is the potential difference ∆V34in Figure EX26.16?
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