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CBSE Class 12-science Answered

Plzz explain

Asked by dharaelect | 27 Mar, 2019, 10:28: PM
Expert Answer
a right parenthesis
F l u x space t h r o u g h space t h e space r i g h t space s u r f a c e space i s space g i v e n space a s space
ϕ space equals space E A cos theta space w h e r e space E space i s space t h e space e l e c t r i c space f i e l d space a n d space A space i s space t h e space c r o s s space s e c t i o n a l space a r e a space a n d space theta space i s space t h e space a n g l e space b e t w e e n space E space a n d space A
A space equals space pi r squared space equals space 3.14 cross times 0.05 cross times 0.05 space equals space 0.008 space m squared
s o space f l u x space f o r space r i g h t space s i d e
ϕ space equals space 200 cross times 0.008 cross times cos 0 space left parenthesis h e r e space t h e space a n g l e space i s space z e r o right parenthesis
ϕ space equals space 1.6 space N m squared divided by C
s i m i l a r l y space f o r space l e f t space s i d e space space f l u s space w o u l d space a l s o space b e space e q u a l space t o space 1.6 space N m squared divided by C
b right parenthesis space a g a i n space f o r space t h e space s i d e s space e l e c t r i c space f l u x space c a n space b e space g i v e n space a s
ϕ space equals space E space A space cos space 90
h e r e space a n g l e space i space s space 90 space s o space t h e space v a l u e space o f space cos space 90 space i s space z e r o space s o space t h e space n e t space f l u x space f r o m space t h e space s i d e s space w o u l d space b e space z e r o
c right parenthesis
u sin g space g a u s s space l a w space
n e t space f l u x space equals space q over xi subscript 0
q space equals space left parenthesis 1.6 cross times 2 right parenthesis cross times xi subscript 0 space equals space 3.2 cross times space 8.85 cross times 10 to the power of negative 12 end exponent space equals space 28.32 cross times 10 to the power of negative 12 end exponent space C
Diagram is attached
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