. Consider a solid non-conducting cube of side a carrying a total charge Qo spread uniformly through- out its volume. (a) What is the electric field at its centre? Provide suitable reasoning. (b) Calculate the divergence of the electric field at its centre. (c) Calculate the flux of the electric field through any one of its faces. (d) Calculate the potential at the centre and any one of the corners of the charged cube. You can use MATLAB or any other appropriate software to make a numerical estimate of the integral.
. Consider a solid non-conducting cube of side a carrying a total charge Qo spread uniformly through- out its volume. (a) What is the electric field at its centre? Provide suitable reasoning. (b) Calculate the divergence of the electric field at its centre. (c) Calculate the flux of the electric field through any one of its faces. (d) Calculate the potential at the centre and any one of the corners of the charged cube. You can use MATLAB or any other appropriate software to make a numerical estimate of the integral.
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Transcribed Image Text:2. Consider a solid non-conducting cube of side a carrying a total charge Qo spread uniformly through-
out its volume.
(a) What is the electric field at its centre? Provide suitable reasoning.
(b) Calculate the divergence of the electric field at its centre.
(c) Calculate the flux of the electric field through any one of its faces.
(d) Calculate the potential at the centre and any one of the corners of the charged cube. You can
use MATLAB or any other appropriate software to make a numerical estimate of the integral.
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