# ass10 - SOLUTIONS, ASSIGNMENT 10 kq . The total potential...

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23.25. I DENTIFY : For a point charge, kq V r = . The total potential at any point is the algebraic sum of the potentials of the two charges. S ET U P : (a) The positions of the two charges are shown in Figure 23.25a. Figure 23.25a (b) 2 ( ) : . ( ) kq kq kq x a x a V x x a x x a - + = - = - - 2 (3 ) 0 : . ( ) kq kq kq x a x a V x a x x x a - < < = - = - - 2 ( ) 0: . ( ) kq kq kq x a x V x x a x x a - + < = + = - - A general expression valid for any y is 2 | | | | q q V k x x a = - - . (c) The potential is zero at and /3. x a a = - (d) The graph of V versus x is sketched in Figure 23.25b. Figure 23.25b E VALUATE : (e) For 2 : , kqx kq x a V x x - - = which is the same as the potential of a point charge – q . Far from the two charges they appear to be a point charge with a charge that is the algebraic sum of their two charges. 23.28. I DENTIFY : For a point charge, 2 k q E r = and kq V r = . S ET U P : The electric field is directed toward a negative charge and away from a positive charge. E XECUTE : (a) 0 V so 0 q . 2

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## ass10 - SOLUTIONS, ASSIGNMENT 10 kq . The total potential...

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