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A point charge with charge q 1 is held stationary at the origin. A second point

ID: 1525575 • Letter: A

Question

A point charge with charge q1 is held stationary at the origin. A second point charge with charge q2moves from the point (x1, 0) to the point (x2, y2). Please use k for Coulomb's constant rather than writing it out as (1/40).

Part A

  How much work W is done by the electrostatic force on the moving point charge?

Express your answer in joules. Use k for Coulomb's constant.

A point charge with charge q1 is held stationary at the origin. A second point charge with charge q2moves from the point (x1, 0) to the point (x2, y2). Please use k for Coulomb's constant rather than writing it out as (1/40).

Part A

  How much work W is done by the electrostatic force on the moving point charge?

Express your answer in joules. Use k for Coulomb's constant.

W =

Explanation / Answer

Work done is given by

W= -qU

= -q2( k q1q2/r2 - k q1q2/r1 )

= -( k q1q2 / sqrt [ (x2-x1)2 + (y2 - 0)2 - k q1q2/ sqrt [ (0-x1)2 + (0 - 0)2 ]

= k{q1q2/x1 -kq1q2/sqrt[(x2-x1)2 =y22] }

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