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Identical metal plates are located in ai...

Identical metal plates are located in air at equal distance d from one another. The area of each plate is equl to `A` Evaluate the capacitance of the system between P and `Q` if the plates are interconnected as shown in.
.

Text Solution

Verified by Experts

The correct Answer is:
i. `2/(3)epsilon_(0)A/d` ii. `3/(2)epsilon_(0)A/d` iii. `5/3epsilon_(0)A/d` vi. `3epsilon_(0)A/d`.
a.
Equivalent circuit

`C_(eq) = (2C)/(3) = (2epsi_(0)A)/(3d)`
b.
Equivalent circuit

`C_(eq) = (3)/(2)C=(3epsi_(0)A)/(2d)`
c.
Equivalent circuit

`C_(eq) = (5C)/(2) = (5)/(3O)(epsi_(0)A)/(d)`
d.
`C_(eq) = 3C= (3epsi_(0)A)/(d)`
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Knowledge Check

  • Four metallic plates each with a surface area of one side A are placed at a distance d from each other as shown. Then, the capacitance of the system between X and Y is

    A
    `(2 epsi_(0)A)/(d)`
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    `(2 epsi_(0)A)/(3d)`
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    A
    `(3in_(0)A)/(d)`
    B
    `(2in_(0)A)/(d)`
    C
    `(2in_(0)A)/(3d)`
    D
    `(3in_(0)A)/(2d)`

  • Four metallic plates arearrranged as shown in the figure. If the distance between each plate then capacitance of the gives system between points A and B is (Given d lt lt A)

    A
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