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CBSE Class 12-science Answered

Two charges q and qa placed at a separation d in air experience a force of 12 N. If the separation is changed to d', the force becomes 3 N. What is the value of d' in terms of d?
Asked by shitikanthdas31 | 11 Jun, 2019, 09:02: AM
answered-by-expert Expert Answer
coulomb force F1 between two charges q and qa , when they are at distance d apart
 
begin mathsize 14px style F subscript 1 space equals space fraction numerator q space q subscript a over denominator 4 πε subscript straight o space straight d squared end fraction space equals space 12 space N end style .............................(1)
coulomb force F2 between two charges q and qa , when they are at distance d' apart
 
begin mathsize 14px style F subscript 2 space equals space fraction numerator q space q subscript a over denominator 4 πε subscript straight o space straight d to the power of apostrophe space end exponent squared end fraction space equals space 3 space N end style ..............................(2)
begin mathsize 14px style F subscript 1 over F subscript 2 space equals space fraction numerator d apostrophe squared over denominator d squared end fraction space equals 12 over 3 equals space 4 space space space space o r space space fraction numerator d apostrophe over denominator d end fraction equals space 2 end style
Answered by Thiyagarajan K | 11 Jun, 2019, 12:11: PM

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