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Problem 1) Moving line charge [50 points] An infinitely long, straight line coincides with the x - axis and carries a uniform line charge density 2=+50 LC . The line charge moves with constant speed v =10' - along the x - axis in the positive m x - direction as shown below. a) Find the electric field E (magnitude and direction) at the point P on the y - axis, located at distance y =1m from the moving line charge (see figure). Hint: k -9x109 N.m C2 b) The moving line charge corresponds to a current, I . Find this current (numerical value in units of ampere, A). c) Find the magnetic field B (magnitude and direction) at the point P on the y - axis. Hint: / = 47 x10-7 I'm A d) An electron is at rest at the point P on the y - axis. Find the electromagnetic force on the electron (numerical value in units of newton, N). P + + + + + + + + + + + + + X