Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

From a conducting sphere of radius R a cavity of radius R/2 is cut out as shown in the figure. At the centre of cavity a point charge q is placed then the electric field and potential at point P as shown in the figure is

Options:

$V=\frac{q}{2 \pi \varepsilon_0 d}, E=\frac{q}{2 \pi \varepsilon_0 d^2}$

$V=\frac{q}{4 \pi \varepsilon_0 d}, E=\frac{q}{2 \pi \varepsilon_0 d^2}$

$V=\frac{q}{4 \pi \varepsilon_0 d}, E=\frac{q}{4 \pi \varepsilon_0 d^2}$

$V=\frac{q}{2 \pi \varepsilon_0 d}, E=\frac{q}{4 \pi \varepsilon_0 d^2}$

Correct Answer:

$V=\frac{q}{4 \pi \varepsilon_0 d}, E=\frac{q}{4 \pi \varepsilon_0 d^2}$

Explanation:

$V=\frac{q}{4 \pi \varepsilon_0 d} ; E=\frac{q}{4 \pi \varepsilon_0 d^2}$