   Chapter 16, Problem 56P

Chapter
Section
Textbook Problem

A parallel-plate capacitor has plates of area A = 7.00 × 10−2 m2 separated by distance d = 2.00 × 10−4 m. (a) Calculate the capacitance if the space between the plates is filled with air. What is the capacitance if the space is filled half with air and half with a dielectric of constant κ = 3.70 as in (b) Figure P16.56a, and (c) Figure P16.56b? (Hint: In (b) and (c), one of the capacitors is a parallel combination and the other is a series combination.) Figure P16.56

(a)

To determine
The capacitance.

Explanation

Given info: The distance of separation is 2.00×104m . The area of the plate is 7.00×102m2 .

Explanation:

Formula to calculate the capacitance is,

• ε0 is the permittivity of free space.
• A is the area of the plate.
• d is the thickness.

Substitute 8.85×1012 m3kg1s4A2 for ε0 , 7.00×102m2 for A and 2

(b)

To determine
The equivalent capacitance.

(c)

To determine
The equivalent capacitance.

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