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The diagram below shows a set of equipotential lines created by an unknown charge distribution. Neighboring lines are separated by a potential difference of

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The diagram below shows a set of equipotential lines created by an unknown charge distribution. Neighboring lines are separated by a potential difference of 1 V; some individual lines are marked with numerical values of electric potential. Five points on the plot are marked with the letters A through E. (There is not necessarily anything at these points; they just indicate locations.) All parts of this problem refer to this equipotential diagram. +6 V +4 V +2 V E C D -2 V B A -4 V 1) Is the magnitude of the electric field at point B greater than, less than, or equal to the magnitude of the electric field at point A? Explain how you can tell. 2) Is the magnitude of the electric field at point D greater than, less than, or equal to the magnitude of the electric field at point A? Explain how you can tell. 3) Is the electric potential at point E greater than, less than, or equal to the electric potential at point A? Explain how you can tell. 4) Sketch a vector showing the approximate direction of the electric field at point C. If the electric field is 0 at C, write 0. Explain how you determined your answer. 5) A particle with charge +3.40 10-9 C and mass 1.57 10-10 kg is observed to be at point D moving with a speed of 15 m/s. Later, the same particle passes point A. No other forces aside from the electric force act on the particle as it moves from D to A. Calculate the particle's speed when it reaches point A.

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