Consider an infinitely long cylinder with radius R. The cylinder is an insulator and it is positively charged, the charge per unit of length is A. (Hint: because it is an insulator you should assume that the charge is spread uniformly across its entire volume). By reflecting on the symmetry of the charge distribution of the system, determine what a) the E-field lines look like around the cylinder. Describe the E-field in words and with a simple sketch. In order to give a complete description of the E-field lines make two sketches: i) one with a side view of the cylinder, ii) one with a cross-sectional view of the cylinder. Make sure to also show the direction of the E-field lines. b) (-- . the figure. Your goal for this part is to properly use Gauss' law to calculate the electric field at point P. Follow the 5 steps below. Consider a point P outside the cylinder, at a distance d from its axis, d > R, as shown in

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Chapter1: Units, Trigonometry. And Vectors
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Consider an infinitely long cylinder with radius R. The cylinder is an insulator and it is positively
charged, the charge per unit of length is A. (Hint: because it is an insulator you should assume that the
charge is spread uniformly across its entire volume).
By reflecting on the symmetry of the charge distribution of the system, determine what
a)
the E-field lines look like around the cylinder. Describe the E-field in words and with a simple sketch.
In order to give a complete description of the E-field lines make two sketches: i) one with a side
view of the cylinder, ii) one with a cross-sectional view of the cylinder. Make sure to also show the
direction of the E-field lines.
b) (-- .
the figure. Your goal for this part is to properly use Gauss' law to calculate the electric field at point
P. Follow the 5 steps below.
Consider a point P outside the cylinder, at a distance d from its axis, d > R, as shown in
Transcribed Image Text:Consider an infinitely long cylinder with radius R. The cylinder is an insulator and it is positively charged, the charge per unit of length is A. (Hint: because it is an insulator you should assume that the charge is spread uniformly across its entire volume). By reflecting on the symmetry of the charge distribution of the system, determine what a) the E-field lines look like around the cylinder. Describe the E-field in words and with a simple sketch. In order to give a complete description of the E-field lines make two sketches: i) one with a side view of the cylinder, ii) one with a cross-sectional view of the cylinder. Make sure to also show the direction of the E-field lines. b) (-- . the figure. Your goal for this part is to properly use Gauss' law to calculate the electric field at point P. Follow the 5 steps below. Consider a point P outside the cylinder, at a distance d from its axis, d > R, as shown in
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