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AP EAMCET · PHYSICS · Capacitance

If the circumference of a sphere is 3 m, then the capacitance of the sphere in water is (dielectric constant of water = 80)

  1. A 4250 pF
  2. B 2760 pF
  3. C 2780 pF
  4. D 424 pF
Verified Solution

Answer & Solution

Correct Answer

(A) 4250 pF

Step-by-step Solution

Detailed explanation

Dielectric constant of water, k = 80 Capacitance of a sphere of radius R is given by \(C=4 \pi \varepsilon_0 R\) Circumference of sphere, L = 3m \[ \begin{aligned} & \text { Radius of sphere, } R=\frac{L}{2 \pi} \\ & \Rightarrow \quad=\frac{3}{2 \pi} \mathrm{m} \end{aligned} \]…