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Problem 20.10 A uniform electric field with a magnitude of 6100N/C points in the

ID: 1272811 • Letter: P

Question

Problem 20.10

A uniform electric field with a magnitude of 6100N/C points in the positive x direction.

Part A

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the positive x direction.

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Part B

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the negative x direction.

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Part C

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the positive y direction.

Express your answer using one significant figure.

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Problem 20.10

A uniform electric field with a magnitude of 6100N/C points in the positive x direction.

Part A

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the positive x direction.

?U =   J  

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Part B

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the negative x direction.

?U =   J  

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Part C

Find the change in electric potential energy when a +19.0-?C
charge is moved 6.50cm in the positive y direction.

Express your answer using one significant figure.

?U =   J  

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Explanation / Answer

Change in potentialenergy   ?U   =   -q * ?V

                                                      =   -q * E * d

   here   charge   q   =   +19 ?C

         Electricfield      E   =   6100   N/C

         a.   displacement   d   =   + 6.50cm

                                          =   +0.0650 m

            ?U1   =   -19 * 10-6 * 6100 * 0.0650

                     = - 7.533* 10-3   J

  

   b.      displacement   d   =  - 6.50 cm

                                          =   -0.0650 m

            ?U2   =   -19 * 10-6 * 6100 * (- 0.0650)

                     = 7.533* 10-3   J

c)

the field has no y-component, so there is 0 potential energy change.   

as d =0

        ?U = q E (o) =0

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