   Chapter 16, Problem 32P

Chapter
Section
Textbook Problem

Air breaks down and conducts charge as a spark if the electric field magnitude exceeds 3.00 × 106 V/m. (a) Determine the maximum charge Qmax that can be stored on an air-filled parallel-plate capacitor with a plate area of 2.00 × 10−4 m2. (b) A 75.0 μF air-filled parallel-plate capacitor stores charge Qmax. Find the potential difference across its plates.

(a)

To determine
The charge stored.

Explanation

Given info: The maximum electric field is 3.00×106V/m . The area of the plate is 2.00×104m2 .

Explanation:

Formula to calculate the charge stored is,

Q=ε0AE

• ε0 is the permittivity of free space.
• E is the electric field.
• A is the area of plate.

Substitute 2.00×104m2 for A, 3.00×106V/m for E and 8.85×1012 C2/Nm2 for ε0

(b)

To determine
The potential difference.

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