   Chapter 15, Problem 50P

Chapter
Section
Textbook Problem

A charge of q = 2.00 × 10−9 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.

(a)

To determine
The charge density on the disk.

Explanation

Given info: The charge on the disc (q) is 2.00×109C . The radius of the disc (r) is 0.200 m.

Formula to calculate the charge density is,

σ=qA

• A is the area of the disc.

The area of the disc is,

A=πr2

Therefore,

σ=qπr2

Substitute 2.00×109C for q and 0

(b)

To determine
The electric field above the center of the disc.

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