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Unformatted text preview: RECITATION 3 7. Since point P lies directly between the two identical +5.0 q charges, the field due to one of those charges is equal in magnitude and opposite in direction to the field due to the other charge. Their sum is zero. Note that the +3.0 q charge and the 12 q charge produce electric fields at P in opposite directions. The 12 q charge has a magnitude four times that of the +3.0 q charge but is twice as far away. Since 2 , E q r the forces due to these two charges also sum to zero. So the net field at the point P is net ( ) 0N / C. E P = 25. (a) The linear charge density is the charge per unit length of rod. Since the charge is uniformly distributed on the rod, = q / L . (b) We position the x axis along the rod with the origin at the left end of the rod. Let dx be an infinitesimal length of rod at position x . The magnitude of the charge in this segment is dq dx = . The electric field this element of charge produces at point P is in the i- direction, and its magnitude is given by...
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