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Solution 4 - homework 04 KANUNGO ANIL Due 4:00 am y...

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homework 04 – KANUNGO, ANIL – Due: Sep 11 2007, 4:00 am 1 Question 1, chap 23, sect 3. part 1 of 4 10 points Consider symmetrically placed rectangular insulators with uniformly charged distribu- tions of equal magnitude as shown in the fig- ures. x y ++++ ---- Find the net electric field at the origin. 1. aligned with the positive y -axis 2. aligned with the positive x -axis 3. aligned with the negative y -axis 4. non-zero and not aligned with either the x - or y -axis 5. aligned with the negative x -axis correct 6. zero with the direction undefined. Explanation: At the origin, the positive slab of charge produces an electric field pointed toward quadrant III (away from the positively charged slab). The negatively charged slab produces an electric field of equal magnitude (as the positively charged slab) but pointing toward quadrant II (toward the negatively charged slab). The x -components of the two fields add (producing E x < 0), while the y - components cancel. Thus the electric field is along the negative x -axis. Question 2, chap 23, sect 3. part 2 of 4 10 points x y ++++ ++++ In the figure above what is the net field at the origin? 1. aligned with the negative y -axis 2. aligned with the positive y -axis 3. non-zero and not aligned with either the x - or y -axis 4. aligned with the negative x -axis 5. zero and the direction is undefined cor- rect 6. aligned with the positive x -axis Explanation: At the origin the upper slab produces an electric field that points toward quadrant III (away from the positively charged slab) and the lower slab an electric field that is points toward quadrant I (away from the positively charged slab). By symmetry, these two elec- tric fields are equal in magnitude and opposite in direction, so the total electric field sums to zero. Question 3, chap 23, sect 3. part 3 of 4 10 points x y - - - - + + + +
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homework 04 – KANUNGO, ANIL – Due: Sep 11 2007, 4:00 am 2 In the figure above what is the net field at the origin? 1. aligned with the positive y -axis 2. zero with an undefined direction 3. aligned with the positive x -axis 4. aligned with the negative y -axis 5. aligned with the negative x -axis 6. non-zero and not aligned with either the x - or y -axis correct Explanation: As in the previous Part, at the origin the upper slab produces an electric field pointing toward quadrant III (away from the positively
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