A charge $$+Q$$ is uniformly distributed throughout the volume of a dielectric sphere of radius $$R$$ and dielectric constant $$'{\varepsilon _R}'.$$ Based on Gauss law, determine the expressions for the electric field $$E$$ as a function of distance $$'r'$$ from the center of the sphere, within the ranges $$0 < r < R$$ and $$R \le r.$$ Indicate expression $$(s)$$ for the critical point $$(s)$$ on the sketch.

GATE 1999 Electrical Engineering PYQ — Electromagnetic Fields

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Electromagnetic Fields · Electrostatics-EE

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Electrostatics-EE has appeared in GATE Electrical Engineering 45 times across 24 years (2018, 2021, 2022, 2024, 2025, ...).