Question
A uniform electric field of magnitude E=4.2N/C points, as illustrated in the figure below, along the...
A uniform electric field of magnitude E=4.2N/C points, as illustrated in the figure below, along the negative x axis. The x and y-coordinates of points A, B, and C are shown in the figure.
a) Determine the differences in potential between points A and B, points C and B, and points C and A.
(b) What is the change in the potential electric energy of the system if a positive charge of 2nC is moved from B to C? How about from B to A?
(c) What is the change in the potential energy if a negative charge of -2nC is moved from B to C?
(d) How much work must be done to move the negative charge from B to C at constant speed?
Answers
a)pointa A andB are at same potential
potential between B and C=-[4.2x(-3-4) +4.2(4-4)]=29.4V
potential between A and C= 29.4V since both A and B are at same potential.
b)change in potential enrgy in moving from B to C= 2x10-9x29.4=58.8x10-9 J here potential energy decrease since change in P.E =chargexpotential
no change in going from B to A since they are at same potential
c)if a negative charge is moved then the change in potential energy=58.8x10-9 J but here potential energy increases since work is done against the field.
d)to move from B to C at constant speed work done =58.8x10-9 J
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