JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
A capacitor is made of a tlat plate of area \(A\) and a second plate having a stair-like structure as shown in figure. If the area of each stair is \(\frac{A}{3}\) and the height is \(\mathrm{d}\), the capacitance of the arrangement is _______.
- A \(\frac{11 \varepsilon_0 \mathrm{~A}}{18 \mathrm{~d}}\)
- B \(\frac{13 \varepsilon_0 \mathrm{~A}}{17 \mathrm{~d}}\)
- C \(\frac{11 \varepsilon_0 \mathrm{~A}}{20 \mathrm{~d}}\)
- D \(\frac{18 \varepsilon_0 \mathrm{~A}}{11 \mathrm{~d}}\)
Answer & Solution
Correct Answer
(A) \(\frac{11 \varepsilon_0 \mathrm{~A}}{18 \mathrm{~d}}\)
Step-by-step Solution
Detailed explanation
All capacitor are in parallel combination. Also effective area is common area only \(\Rightarrow C_{e q}=C_1+C_2+C_3\) \(\Rightarrow C_{e q}=\frac{A \varepsilon_0}{3 d}+\frac{A \varepsilon_0}{3(2 d)}+\frac{A \varepsilon_0}{3(3 d)}\)…
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