The sketch shows cross sections of equipotential surfaces between two charged co

Question

The sketch shows cross sections of equipotential surfaces between two charged conductors that are shown in solid black. 0.4 m -70 V -60 V -50 V -40 V -30 V -20 V 0 +20 V +40 V a. What is the potential difference between points B and E? b. At which of the labeled points will the electric field have the greatest magnitude? c. What is the electric field at point A (magnitude and direction)? . The sketch on the back of this page shows cross sections of two conducting spherical shells. (a 5.0 cm, b = 0.50 m, and V= 100 V) a. Using dashed curves, draw representative equipotentials around and between the spheres. b. Using solid curves and arrows draw the electric field lines. c. What is the charge on the left sphere? d. What is the potential at point P midway between the two spheres? e. What is the magnitude and direction of the electric field at point P midway between the two spheres? 15

Explanation / Answer

a)

From the plot, we can find the potential at B:

Vb = +10 V

Now, Ve = -40 V

So, Vbe = 10 - (-40) = 50 V

b)

Electric field is given by the gradient of electric potential

So, at I where the potential changes by 10 V at a very near point will have the greatest value of electric field

So, answer is I

c)

E = 10/0.1 = 100 N/C

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