COMEDK · Physics · 17. Electrostatics
Consider a thin spherical shell of radius \(R\) consisting of uniform surface charge density \(s\). The electric field at a point of distance \(x\) from its centre and outside the shell is
- A inversely proportional to \(s\)
- B directly proportional to \(x^{2}\)
- C directly proportional to \(R\)
- D inversely proportional to \(x^{2}\)
Answer & Solution
Correct Answer
(D) inversely proportional to \(x^{2}\)
Step-by-step Solution
Detailed explanation
Electric field due to thin spherical shell at a distance \(x\) outside from the centre is given as \[ E=\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{Q}{x^{2}} \] where, \[ \begin{aligned} Q &=s \cdot A \\ &=s \times 4 \pi R^{2} \end{aligned} \] \(\therefore\) From Eq. (i), we get…
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