Quiz#1-soln - Quiz#1 Name PS PHYS 1302 Summer 6W2 2009...

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Quiz #1 Name ______________ PS#________________ PHYS 1302 Summer 6W2 2009 Lau ------------------------------------------------------------------------------------------------------------ Constants k=1/(4 πε 0 )= 8.99 x 10 9 in SI units. ------------------------------------------------------------------------------------------------------------------------------------------------------------------ 1. Find the electrostatic force between two point charges, of 140 μ C each, separated by 6 m. Solution 6 2 9 1 2 2 2 (140 10 ) 8.99 10 4.9 5 (6 ) q q C F k N N r m - × = = × = A. 1 N B. 5 N C. 10 N D. 20 N E. 30 N ------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2. A charge q 2 is four times as large as another charge q 1 , and the charges repel each other with a force of 1440 N when separated by 10 km. Find the magnitude of q 1 . Solution 2 1 2 1 2 2 2 2 9 1 4( ) /(4 ) (1440 )(10,000 ) /(4 8.99 10 ) 2.0 q q q F k k r r q Fr k N m C = = = = × × = ------------------------------------------------------------------------------------------------------------------------------------------------------------------ 3. A charge of 2.0 C experiences a force of 0.50 N at a given point in space. Determine the magnitude of the electric field at that point. Solution 0.50 0.25 / 2.0 F qE F N E N C q C = = = = ----------------------------------------------------------------------------------------------------------------------------------------------------------------- 4. Four positive point charges of 1.1 x 10 -10 C each are located at the four corners of a square. Determine the magnitude of the electric field at the center of the square. The center is 2.0 m from the corners.
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