TS EAMCET · Physics · Electrostatics
Two conducting spheres of radii \(r_1\) and \(r_2\) are charged to the same surface charge density. The ratio of electric fields near their surfaces is
- A \(\frac{r_1^2}{r_2^2}\)
- B \(\frac{r_2^2}{r_1^2}\)
- C \(\frac{r_1}{r_2}\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(D) \(1: 1\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, } \sigma_1=\sigma_2 \\ & \frac{\mathrm{Q}}{4 \pi \mathrm{r}_1^2}=\frac{\mathrm{Q}}{4 \pi \mathrm{r}_2^2} \\ & \Rightarrow \frac{\mathrm{Q}}{4 \pi \in_0 \mathrm{r}_1^2}=\frac{\mathrm{Q}}{4 \pi \in_0 \mathrm{r}_2^2} \\ & \mathrm{E}_1=\mathrm{E}_2…
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