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Chapter 4: Q50E (page 716)

A very long, straight wire has charge per unit length 3.20 x 10-10 C/m. At what distance from the wire is the electric field magnitude equal to 2.50 N/C?

Short Answer

Expert verified

Answer

The required distance is 2.30 m.

Step by step solution

01

Important formula

The equation which relates electric field and linear charge density for an infinite line of charge is:

E=12πεoλrr=12πε∘λE

where E=electric field, =linear charge density and14πε∘=9.0×109 N.m2/C2

02

Substitution

Substitute the values to find r:

r=2(9.0×109 N.m2/C2)(3.20×10-10 C/m2.50  N/C)=2.30 m

The electric field magnitude will be equal to 2.50 N/C at a distance of 2.30 m.

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