The equipotential surfaces in
the field map below (shown as dashed lines) have potential
differences between a point at infinity and themselves of 1V, 5V,
and 10V. (a)[4 pt(s) ]Label the surfaces with the correct voltage.
Justify your choices using the properties of electric potential and
its relation to work. (b)[3 pt(s) ]Is the work to move a +q charge
from points A to B positive, negative, or about zero? Justify using
the properties of work and electric potential. (c)[3 pt(s) ]Is the
work to move a +q charge from points A to C positive, negative, or
about zero? Justify using the properties of work and electric
potential. DRAW THE PATH TO WHICH YOUR REASONING APPLIES.
Homework Answers
a)
Potential can be written as V = kQ/r
It depends both on the charge and the distance from the charge.
Here in all the cases the net charge is +Q. So the potential
depends on the distance from the charge only.
10 V corresponds to the innermost equipotential surface since r is
minimum
5 V corresponds to the equipotential surface in the middle
1 V corresponds to the outermost equipotential surface
b)
Work done = q[VB - VA]
Since VA and VB have the same potential,
VA - VB = 5 - 5 = 0
Work done = 0.
c)
Work done = q[VC - VA]
q[1 - 5]
= -4q
Work done is negative.
Add Answer to:
The equipotential surfaces in
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The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1 Vincrements....
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equipotential surfaces drawn in 1 Vincrements. (Figure 1)
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