The value of electric field at a region of space is given by, E=Ar where A=100V`.m^(2)` and r=distance (in m) from origin inside the electric field. Find the amount of charge enclosed in a sphere of radius 20 cm centered at the origion. Given `1/(4piepsilon_(0))=9xx101/(4piepsilon_(0))=9xx10^(9)N.m^(2).c^(-2)`

Explanation

We know, `E=1/(4piepsilon_(0))cdotq/(r^(2))`
Again according to the problem,
`E=Ar=100rVcdotm^(-1)`
`therefore100r=9xx10^(9)cdotq/(r^(2))` or, `100r^(3)=9xx10^(9)xxq`
or, `q=(100xx(20xx10^(-2))^(3))/(9xx10^(9))=888.8xx10^(-13)C`