(a) Find the electric field 10.0 cm from the filament, where distances are measured perpendicular to the length of the filament. (Take radially inward toward the filament as the positive direction.) MN/C (b) Find the electric field 38.0 cm from the filament, where distances are measured perpendicular to the length of the filament. MN/C (c) Find the electric field 150 cm from the filament, where distances are measured perpendicular to the length of the filament. MN/C

College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter15: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 24P: (a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in...
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(a) Find the electric field 10.0 cm from the filament, where distances are measured perpendicular to the length of the filament. (Take radially inward toward the filament as the positive direction.)
MN/C
(b) Find the electric field 38.0 cm from the filament, where distances are measured perpendicular to the length of the filament.
MN/C
(c) Find the electric field 150 cm from the filament, where distances are measured perpendicular to the length of the filament.
MN/C
Transcribed Image Text:(a) Find the electric field 10.0 cm from the filament, where distances are measured perpendicular to the length of the filament. (Take radially inward toward the filament as the positive direction.) MN/C (b) Find the electric field 38.0 cm from the filament, where distances are measured perpendicular to the length of the filament. MN/C (c) Find the electric field 150 cm from the filament, where distances are measured perpendicular to the length of the filament. MN/C
Expert Solution
Step 1

Given data:

The charge per unit length of filament is: λ = -90.6μC/m

The electric field is: E

Let us consider the filament as a cylinder.

(1)The expression for an electric field by using Gauss law is given as,

Physics homework question answer, step 1, image 1

Here, εo is the free space permittivity = 8.85 ×10-12 F/m.

Put all known values in the above expression and calculate the value of the electric field at r = 10 cm = 0.1m.

Physics homework question answer, step 1, image 2

Thus, the value of electric field at r = 10 cm = 0.10 m is -16.32 MN/C.

 

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