ch21_p18 - 18. (a) We note that cos(30) = 2 3 , so that the...

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18. (a) We note that cos(30º) = 1 2 3 , so that the dashed line distance in the figure is 2/3 rd = . We net force on q 1 due to the two charges q 3 and q 4 (with | q 3 | = | q 4 | = 1.60 × 10 19 C) on the y axis has magnitude 13 22 00 | | 33 | | 2c o s ( 3 0 ) 41 6 qq πε °= . This must be set equal to the magnitude of the force exerted on q 1 by q 2 = 8.00 × 10 19 C = 5.00 | q 3 | in order that its net force be zero: 12 | | || 16 4 ( ) dD d = + ¡ D = d © ¨ § ¹ ¸ · 2 5 3 3 1 = 0.9245 d . Given d = 2.00 cm, then this leads to
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