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CBSE Class 12-science Answered

In X-Y plane ,there is a surface charge density of 5*10^-6 C/m^2. on a long uniformly charged sheet.A circular loop of radius 0.1m makes an angle of 60° with Z axis.Determine the electric flux through the loop
Asked by agarrajeev06 | 08 Jan, 2019, 10:11: PM
answered-by-expert Expert Answer
Electric field is in Z-direction. Let θ be the angle between area vector and z-axis
 
Flux = begin mathsize 12px style E with rightwards arrow on top times stack d A with rightwards arrow on top space equals space open vertical bar E close vertical bar open vertical bar d A close vertical bar cos theta space equals space fraction numerator sigma over denominator 2 epsilon subscript o end fraction cross times left parenthesis A r e a space o f space l o o p right parenthesis cross times cos 60 end style
Flux = begin mathsize 12px style fraction numerator 5 cross times 10 to the power of negative 6 end exponent over denominator 2 cross times 8.854 cross times 10 to the power of negative 12 end exponent end fraction cross times straight pi cross times 0.1 cross times 0.1 cross times 1 half space equals space 444 space V o l t space metre end style
Answered by Thiyagarajan K | 08 Jan, 2019, 10:44: PM

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