CBSE Class 11-science Answered

Pls solve.

Asked by pb_ckt | 23 May, 2019, 03:47: PM

Expert Answer

begin mathsize 12px style E l e c t r i c space f i e l d space space E space equals space fraction numerator q x over denominator open parentheses x squared plus a squared close parentheses to the power of begin display style bevelled 3 over 2 end style end exponent end fraction end style

we differentiate above equation to dE/dx and equate it to zero to get x value that corresponds to give E_max

begin mathsize 12px style fraction numerator d E over denominator d x end fraction equals space q fraction numerator begin display style open parentheses a squared plus x squared close parentheses to the power of bevelled 3 over 2 end exponent end style begin display style space end style begin display style minus end style begin display style space end style begin display style x end style begin display style open parentheses 3 over 2 close parentheses end style begin display style begin display style open parentheses a squared plus x squared close parentheses end style to the power of bevelled 1 half end exponent end style begin display style open parentheses 2 x close parentheses end style over denominator begin display style open parentheses a squared plus x space squared close parentheses cubed end style end fraction space equals space q open parentheses a squared plus x squared close parentheses to the power of bevelled fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction end exponent space fraction numerator open parentheses a squared plus x squared close parentheses begin display style minus end style begin display style 3 end style begin display style begin display style x end style squared end style over denominator open parentheses a squared plus x squared close parentheses cubed end fraction space equals space 0 h e n c e space open parentheses a squared plus x squared close parentheses minus 3 x squared space equals space 0 space space space o r space space space x space equals space plus-or-minus fraction numerator a over denominator square root of 2 end fraction end style

Answered by Thiyagarajan K | 23 May, 2019, 04:49: PM

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CBSE Class 11-science Answered

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