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Chapter 26: Q. 7 (page 737)

What are the magnitude and direction of the electric field at the dot in Figure EX26.7?

Short Answer

Expert verified

The magnitude is 20000V/m and direction of the electric field isvertically downwards.

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=鈭�Vd

02

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

The potential varies by200Vover a distance of1cm=0.01min our case, hence the field's magnitude is :

E=200V0.01m=20000V/m

The field points downwards as the potential falls in the downward direction.

So, the Electric field points vertically downwards.

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Most popular questions from this chapter

Two 2.0cm*2.0cmmetal electrodes are spaced 1.0mmapart and connected by wires to the terminals of a 9.0Vbattery.

a. What are the charge on each electrode and the potential difference between them?

The wires are disconnected, and insulated handles are used to pull the plates apart to a new spacing of 2.0mm.

b. What are the charge on each electrode and the potential difference between them?

Six identical capacitors with capacitance care connected as shown in FIGURE P26.60.

a. What is the equivalent capacitance of these six capacitors?

b. What is the potential difference between points aand b?

The electric potential in a region of space is V=200/2x2+y2,where x and y are in meters. What are the strength and direction of the electric field at 1x, y2=12.0 m, 1.0 m2? Give the direction as an angle cw or ccw (specify which) from the positive x-axis

Rank in order, from largest to smallest, the potential differences (鈭�VC)1to(鈭�VC)4of the four capacitors in Figure Q26.12. Explain.

The electric potential in a region of uniform electric field is-1000V at x=-1.0m and +1000Vatx=+1.0m. What is Ex?
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