3. (a) Let an infinitely long line charge with positive linear density A be oriented along the z-axis. Find the electric field E (please use to indicate the field direction) along the line charge. (b) If an electron with velocity = (0, v,, 0) is placed at point (zo, 0, 20). What would be the possible motion of the electron? (c) If an electron with velocity = (v2, vy, 0) is placed at point (ro, 0, zo). What would be the possible motion of the electron?

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Chapter1: Units, Trigonometry. And Vectors
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3. (a) Let an infinitely long line charge with positive linear density A be oriented along the
x-axis. Find the electric field E (please use to indicate the field direction) along
the line charge.
(b) If an electron with velocity = (0, vy, 0) is placed at point (ro, 0, 20). What would
be the possible motion of the electron?
(c) If an electron with velocity = (v2, Uy, 0) is placed at point (ro, 0, zo). What would
be the possible motion of the electron?
Transcribed Image Text:3. (a) Let an infinitely long line charge with positive linear density A be oriented along the x-axis. Find the electric field E (please use to indicate the field direction) along the line charge. (b) If an electron with velocity = (0, vy, 0) is placed at point (ro, 0, 20). What would be the possible motion of the electron? (c) If an electron with velocity = (v2, Uy, 0) is placed at point (ro, 0, zo). What would be the possible motion of the electron?
Expert Solution
Step 1

Gauss law: Gauss's Law states that the charge enclosed divided by the permittivity determines the total electric flux out of a closed surface.

Electric field: The force per unit charge exerted on a positive test charge that is at rest at a given point is the force per unit charge that is used to define the electric field mathematically. Electric charge or magnetic fields with varying amplitudes can produce an electric field.

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