HOMEWORK FOR LAB 3 ELECTRICAL AND GRAVITATIONAL POTENTIAL In each of the drawing
ID: 1579415 • Letter: H
Question
HOMEWORK FOR LAB 3 ELECTRICAL AND GRAVITATIONAL POTENTIAL In each of the drawings below, E = 4.0 N/C and d = 1.5 m. For each diagram calculate: 1. a· The work done by the electric field in moving a +5.0 x 10-9 C charge from A to B. b. The difference between the charge's potential energy at B and at A. c. The potential difference between A and B. 30 2. What is the relationship between equipotential surfaces (or lines in two dimensions) and the direction of electric field lines? 3. How much work is done moving a charge along an equipotential surface (line)? Explain.Explanation / Answer
1)
a) the charge is moved along the electric field, so, the work done ,
W = E*d*q
= 4*1.5*5*10^-9
= 3*10^-8 J
b)
As the displacement is perpendicular to the electric field, so the work done = 0
c)
W = E*d*q*cos(30 deg)
= 4*1.5*5*10^-9*cos(30 deg)
= 2.6*10^-8 J
2)
Electric field lines are always perpendicular to the electric potential surfaces and are directed in a direction sucha that electric potential decreases.
3)
As the potential is constant throughout an equipotential surface, the work done is equal to 0 .
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