Electrostatics 5 Question 44

46. Five identical capacitor plates, each of area A, are arranged such that adjacent plates are at a distance d apart, the plates are connected to a source of emf V as shown in the figure.

(1984, 2M)

The charge on plate 1 is and on plate 4 is ……

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Answer:

Correct Answer: 46. ε0AVd,2ε0AVd

Solution:

  1. In the circuit shown in figure, there is a capacitor between plates 1 and 2 , the capacity of which is : C1=ε0Ad and potential difference between its plates is V. Therefore, charge stored in it is, q=C1V=ε0AVd

Since, plate 1 is connected with positive terminal, hence this charge q will be positive.

Plate 4 is making two capacitors, one with 3 and other with 5.

Hence, charge on it will be 2q or 2ε0AVd. Charge on it is negative because this is connected with negative plate. Charges on both sides of the plates are shown below.

Here,

q=ε0AVd



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