engineering recuitment GATE ECE 2023-24 Test Series Electromagnetic Theory Electrostatics Electrostatic Field
The following expression represents a static electric field inside a dielectric medium in a spherical coordinate system.
\(\vec E = \frac{5}{{{r^2}}}\sin \theta \;{a_r} - r\cot \theta \;{a_{\theta}} + r\sin \theta \cos \phi \;{a_\phi }\)
If the dielectric medium has the relative permittivity εr = 5, the volume charge density associated with this field at a point P(1, π/2, 0) in terms of free space permittivity, ε0, in SI units is given by:1
5 ε0
2
2.5 ε0
3
10 ε0
4
12.5 ε0