A line of charge is placed on the x-axis between x = -5 m and...

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Physics

A line of charge is placed on the x-axis between x = -5 m and x= 5 m . The linear charge density is -10 microcoulomb per cm .Consider a field point on the y-axis, located at y - 2.0 m.
a. (2 points) How much charge dq is contained in a segment ofthe wire of length dx?
b. (5 points) Charge element dq is located at the point (x, 0).What is the distance r from the charge element to the field point?(Hint: Your answer should be a function of x.)
c. (5 points) What is the unit vector r hat associated with theelectric field for this charge element dq? (Hint: Your answershould be a function of x and the unit vectors i hat and j hat)
d. (5 points) If there is symmetry to the problem, what is theonly component of r hat needed (is not zero after integration)? Ifthere is no symmetry that can be exploited, say â€œno symmetryâ€.
e. (20 points) What is the electric field vector at the fieldpoint? (Use the Cartesian unit vectors in your answer for E; do notsimply say â€œupâ€, â€œleftâ€, etc.)
f. (10 points) Suppose you placed a +10 microcoulomb charge atthe field point. Would it be attracted toward the x-axis, pushedaway from the x-axis, or neither? What is the magnitude of theforce acting upon it?

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3.9 Ratings (533 Votes)

a How much charge dq is contained in a segment of thewire of length dx The linear charge density is 10 microcoulomb per cm then wecan write it asb Charge element dq See Answer

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