(1) There is a line of charge with uniform charge density, A = +9.18 x 10-°C/m centered at the origin and oriented along the y-axis. The line of charge has a total charge +6.37x 10-°C. In order to find the electric potential caused by this line at a field point, (0, 0, 9.81cm), we will divide this line into individual points (referenced below). (a) What is the expression for the tiny amount of charge of one of these points in terms of given numbers and coordinates? (b) What is the value of the for one of these points? (c) What are the bounds of the integral? (d) What is the total potential from this line of charge at the field point indicated above?
(1) There is a line of charge with uniform charge density, A = +9.18 x 10-°C/m centered at the origin and oriented along the y-axis. The line of charge has a total charge +6.37x 10-°C. In order to find the electric potential caused by this line at a field point, (0, 0, 9.81cm), we will divide this line into individual points (referenced below). (a) What is the expression for the tiny amount of charge of one of these points in terms of given numbers and coordinates? (b) What is the value of the for one of these points? (c) What are the bounds of the integral? (d) What is the total potential from this line of charge at the field point indicated above?
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Transcribed Image Text:(1) There is a line of charge with uniform charge density, 1 = +9.18 x 10-°C/m centered at
the origin and oriented along the y-axis. The line of charge has a total charge +6.37x 10-°C.
In order to find the electric potential caused by this line at a field point, (0,0,9.81cm), we
will divide this line into individual points (referenced below).
(a) What is the expression for the tiny amount of charge of one of these points in terms
of given numbers and coordinates?
(b) What is the value of the 1 for one of these points?
(c) What are the bounds of the integral?
(d) What is the total potential from this line of charge at the field point indicated above?
(e) Draw a qualitatively accurate picture of the line and field point as described above.
Add to this image a line of charge that is placed symmetrically such that the potential at the
field point caused by the two lines combined is zero. Be sure to label your axes and whether
the lines have positive or negative charge densities.
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