Question

Question 1 Center 1.90 nc of charge is unviformly distibuted alorly a thin rod of length 8.90 cm, which is then bent into a semicircle as shown in the fqure. What is the magntuabe and drection of the electric field at the centre of the circle? Magritude: Direction, given as an angle measured counterclockwise from the positive x aus: Question 2 Two parallel plates, each charged equally and oppositely to the other, are separated by 4.8000 cm. A proton is let go from rest at the positive plate's surface and, at the same tme, an electron is let go from rest at the negative plate's surface. What is the distance between the negative plate and the point where the proton and the electron go by each other? Note: unike most questions, this one will need your answer correct to s significant digits. Make sure you enter that many into the box below

Answer 1

Electric field in turn will be cancelled and only electric field in downward direction would be produced Charge/unit length = 2Q/pi R field due to element = (k)(dQ/R^2)sin theta dQ = (2Q/pi R)(R d theta) = (2Q/pi)d theta Total field = integral k/R^2 (2Q/pi d theta sin theta) times 2 (from both sides) = (2 kQ/pi R^2)(2)integral^pi/2_0 sin theta d theta = (4kQ/pi R^2)(-cos theta)^pi/2 = 4kQ/pi R^2 (along + x) (angle of 0 degree)