Find the magnitude and direction of the magnetic field at point A. Tips on next page. Keep/truncate to 4 sig figs on each step. X= 1.0cm I=2.0A × 1=2.0A 1=2.0A

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A wire of charge Q1 is bended into the shape of a semicircular wire of radius R, and located in a two dimensional xy-coordinate system as shown in the figure. A point charge of Q2 is located at (0, R/4.3) in this coordinate system. What is Q2/Q1 if the electric potential at point O is zero? Provide your answer with two decimal place. Q1 R

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y P. 2R R. The center of the charged circle of radius R = 50cm in the x-z plane is coincident with the origin of the coordinate system in the figure. The total charge Q on the circle is not uniform, but is distributed according to the relation 1 = v50. Where 0 is the angle between the radius R of the circle and the +x-axis in radian. Find the magnitude of the Electric field due to these charges in the y-axis direction only, at the point P at a distance of 2R. ke 1 Eo = 9x10-12 () and n = 3 4περ Nm² 10 13 a) 15 1013 b) 10 13 1013 d) 105 ) e) 1013 45 75 135

(x-5)² + y² = 25

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sec. 4-2 Position and Displacement •1 The position vector for an electron is 7 (5.0 m)i – (3.0 m)j + (2.0 m)k. (a) Find the magnitude of r. (b) Sketch the vector on a right-handed coordinate system.

Find the area of the circle r = 2(sine + cos0) by means of double integration.

FIND moments around 0, A and B 5OON 900N 60° 4m A 5m