Sample Midterm 2

# Sample Midterm 2 - Winter 2011 Physics 6B Katsushi Arisaka...

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1 Winter 2011 Physics 6B Katsushi Arisaka Sample Exam for the Second Midterm Important Remarks: The Second Midterm is on Wed, Feb. 23 in Class in class. It will include the topics in Chapter 21 - 26 but only the materials which are covered in the lectures between the two midterms. Closed book, closed note, no calculator is allowed at the exam. The contents of the second MT will be similar to this sample. The format is the same as the first MT. How to prepare for exams: Try to solve this sample exam without opening the textbook or notebook first. (It is however not wise to spend too much time for the first time.) If you cannot solve quickly, read the lecture note or the textbook where the solution is given. Once you recognize the solution, close the textbook and notebook, then write the answer on a white piece of paper. Do not simply copy the solution from the textbook/notebook. You’d better spend enough time until you full understand the concept. If you cannot grasp the solution quickly, you are missing some important concept in physics. Read the textbook and notebook of relevant chapters carefully.

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2 1 Two point charges are located as shown below. One has charge + 4 Q and located at ( x, y ) = (- a , 0). The other has charge Q and located at (+ a , 0). a) Find the electric Field E at ( x, y ) = (0, 0). b) If the third charge q o is placed at ( x, y ) = (0, 0), what is the force F acting on q o ? c) Find the electric Field E at point P = (0, + a ). d) Sketch the electric field lines. e) Find the electric Field E at ( x, 0) for x > a . f) Find out the location ( x, y ) where the electric Field E becomes zero. ( Hint : Use the solution of e). ) g) Find the potential V at ( x, y ) = (0, 0). (Assume V = 0 at infinitely-far-way places.) h) Find the potential V at point P = (0, + a ). i) Find out the location ( x, y ) where the potential V becomes zero. There is such a point (other than infinitely-far-way places). j) What is the total energy stored in this system (consisting of this pair of charges)? 2 Next, repeat the above problems in case of one charge +4 Q located at ( x, y ) = (- a , 0) and the other charge + Q located at (+ a , 0). ( Except the part i); potential V is positive everywhere in this case .) +4Q -Q x ( +a, 0) ( -a, 0) P = (0, +a ) y
3 3 A solid conducting sphere of radius R has a total net charge + Q . A conducting spherical shell of inner radius 2 R and outer radius 3 R is concentric with the solid sphere and has no net charge. Let r be the distance from the center of the sphere. a) Find the electric Field E inside the sphere ( r < R ). b) Find the electric Field E in the region between the sphere and the shell (as a function of r , for R < r < 2R ). c)

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## This note was uploaded on 04/12/2011 for the course PHYSICS 6b taught by Professor Gruner during the Spring '10 term at UCLA.

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Sample Midterm 2 - Winter 2011 Physics 6B Katsushi Arisaka...

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