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CBSE Class 11-science Answered

Two point charges +4q and +q are separated by distance r , where should third point charge that the whole system remains in equilibrium 
Asked by suyashmhr777 | 11 Feb, 2018, 04:33: PM
answered-by-expert Expert Answer
Let the new charge be placed at distance R from q
 
 
as shown below
 
<-----------r---------------------------->
q-------------------p-------------------4q
<------R---------->
 
 
f o r c e space o n space p space d u e space t o space q space equals F subscript q minus p end subscript space equals space 8.99 space x 109 space x fraction numerator q space x space p over denominator R squared end fraction f o r c e space o n space p space d u e space t o space 4 q space equals space F subscript 4 subscript q minus p end subscript space equals space space 8.99 space x 109 space x fraction numerator 4 q space x space p over denominator left parenthesis r minus R to the power of right parenthesis 2 end exponent end fraction F o r space e q u i l i b i r i u m F subscript q minus p end subscript space space equals space F subscript 4 subscript q minus p end subscript space space 8.99 space x 109 space x fraction numerator q space x space p over denominator r squared end fraction equals 8.99 space x 109 space x fraction numerator 4 q space x space p over denominator left parenthesis R minus r to the power of right parenthesis 2 end exponent end fraction R equals r over 3 p o s i t i o n space o f space t h e space n e w space c h a r g e
Answered by Science Mate | 12 Feb, 2018, 08:49: AM
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