Problem 1) Moving line charge [50 points] An infinitely long, straight line coincides with the x-axis...

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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 = +50 m . m The line charge moves with constant speed v = 10' along the x-axis in the positive S 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=910 N.m C 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: 4107 T-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). y P + + + + + + ++ + + + + + x 1 Problem 1) Moving line charge [50 points] An infinitely long, straight line coincides with the x-axis and carries a uniform line charge density = +50 m . m The line charge moves with constant speed v = 10' along the x-axis in the positive S 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=910 N.m C 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: 4107 T-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). y P + + + + + + ++ + + + + + x 1