A) \[\rho R/6{{\varepsilon }_{0}}+E\]
B) \[\rho R/12{{\varepsilon }_{0}}-E\]
C) \[-\rho R/6{{\varepsilon }_{0}}+E\]
D) \[\rho R/12{{\varepsilon }_{0}}+E\]
Correct Answer: B
Solution :
[b] Let us complete the sphere. Electric field due to upper part at B = E (given) Electric field B = electric field due to fall sphere electric field due to upper part at B=electric field due to full sphere -electric field due to upper part \[=\frac{kQ}{{{\left( 2R \right)}^{2}}}-E\] \[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{\rho \left( 4/3 \right)\pi {{R}^{3}}}{4{{R}^{2}}}-E\] \[=\frac{\rho R}{12{{\varepsilon }_{0}}}-E\]You need to login to perform this action.
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