QTest #4-solutions - Version 018/AABAC QTest #4 Antoniewicz...

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Version 018/AABAC – QTest #4 – Antoniewicz – (57030) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Given a thick conducting shell with inner radius R i and the outer radius R o , centered at O, the origin. There is a point charge - Q located at O. The net charge on the thick conducting shell is - 2 Q . The potential at r in the region R i < r < R o , is given by 1. - 4 kQ r + kQ R i 2. - kQ R o 3. - 3 kQ R o + kQ R i - kQ r 4. - 3 kQ R i 5. - kQ r 6. - 3 kQ r 7. - 3 kQ R o correct 8. - kQ R i 9. - 2 kQ R o + kQ R i - kQ r 10. - 2 kQ r + kQ R i Explanation: The - 2 Q charge on the conducting shell will separate into + Q on the inner shell and - 3 Q on the outer shell, as can be seen From Gauss’s Law. Thus, the three potentials From each shell oF charge are V a ( r ) = - kQ r V b ( r ) = + kQ r V c ( r ) = - 3 kQ R o So, the resultant potential at r is V ( r ) = V a ( r ) + V b ( r ) + V c ( r ) V (
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QTest #4-solutions - Version 018/AABAC QTest #4 Antoniewicz...

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