AP EAMCET · PHYSICS · Capacitance
A capacitor is made of a flat plate of area \(A\) and a second plate of stair-like structure as shown in the figure. The area of each stair is \(\frac{A}{3}\) and the height is \(d\). The capacitance of the arrangement is
- A \(\frac{\varepsilon_0 A}{3 d}\)
- B \(\frac{6 \varepsilon_0 A}{11 d}\)
- C \(\frac{3 \varepsilon_0 A}{d}\)
- D \(\frac{11 \varepsilon_0 A}{18 d}\)
Answer & Solution
Correct Answer
(D) \(\frac{11 \varepsilon_0 A}{18 d}\)
Step-by-step Solution
Detailed explanation
According to the question, Given, area of each stair \(=\frac{A}{3}\) and height of each stair \(=d\) \(\therefore\) Capacitance of parallel plate capacitor is given as \(C=\frac{\varepsilon_0 A}{d}\) First capacitance of capacitor, \(C_1=\frac{\varepsilon_0 A}{3 d}\) second…
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