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CBSE Class 12-science Answered

the electric field in a region is given by E=2xi NC-1. where x is in metres. find the potential at x=4 when the potential at x=0 is taken as zero 
Asked by Ibrahim Mohammed | 03 Mar, 2016, 01:44: PM
answered-by-expert Expert Answer
begin mathsize 14px style We space know space that space electric space field space is space related space to space potential space as straight E equals negative dV over dx therefore dV equals negative Edx therefore integral subscript 0 superscript 4 dV equals negative integral subscript 0 superscript 4 Edx straight V vertical line subscript 0 superscript 4 equals negative integral 2 xdx therefore straight V subscript 4 equals negative 2 right enclose straight x squared over 2 end enclose subscript 0 superscript 4 therefore straight V subscript 4 equals negative open parentheses 4 squared close parentheses therefore straight V subscript 4 equals negative 16 end style
Answered by Romal Bhansali | 04 Mar, 2016, 10:50: AM
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