4. A squre coil of wire with 800 turns and size a 10.0 cm on each side, is held next to a long straight wire which carries a time varying current /(1) = 9x10'e-0.08t Amperes. Assume the center of the coil is 102.0 cm away from the wire and the coil and the wire are in the same plane. a) What is the value and direction of the B field, due to current in the straight wire, at the center of the coil (as a function of time)? b) Calculate the flux of this B-field through the coil (as a function of time). Assume the B field is uniform inside the coil, because coil is small and far from wire. c) Use the Faraday's law to determine the generated EMF (as a function of time) in the coil. d) If the resistance of the coil is R=20 2, what is the torque acting on the coil at time t ? e) What is the potential energy of the coil at time t ? f) Answer (d) and (e), if the coil is now at an angle of 0 with respect to vertical. Coil i(t)' a

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.