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Answers to Chapter 17 Problems

 

17.8.1   (i)  Innermost sphere (outer surface) +A; middle sphere (inner surface) –A, (outer surface) +(A + B); outermost sphere (inner surface) –(A + B)), (outer surface) +(A + B + C)    (ii) \( A  \over {4 \pi \epsilon_1 r^2} \)   and  \( A+B  \over {4 \pi \epsilon_2 r^2} \)     (iii)  V12 = \( {A  \over {4 \pi \epsilon_1}} {b - a \over ab} \);   V23 = \( {A+B  \over {4 \pi \epsilon_2}}{c - b \over bc} \)

17.9.1   \(  { \epsilon_r} \)  = 3;    \(  \Delta E  \over E \)  = \( - {2 \over  3} \) 

17.9.2   2000 V;     5 ×10–4 J

17.9.3   the particle moves towards the upper plate;    0.11 s  

17.9.4   5.45 × 10–5 m

17.9.5   (a) 5.3 pF    (b) 27 pC;    17 μV

17.9.6   (i) 35 nC   (b) 0.87 μJ;    72 V

17.11.1  1.35 × 10–3&²Ô²ú²õ±è;C;    3 times

17.12.1  (i)  9.66 × 10–7 C s–1  (ii)  1.69 ×10–6 C   (iii)  3.27 × 10–6 W   (iv)  4.35 × 10–6 W

17.12.2  0.062 Hz

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