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Chapter 23: Q. 5 (page 652)

An electron experiences a force of magnitude F when it is1cmfrom a very long, charged wire with linear charge densityλ. If the charge density is doubled, at what distance from the wire will a proton experience a force of the same magnitudeF?

Short Answer

Expert verified

The amount of distance from the wire when a proton experiences a force of the same magnitude F from the wire=2×10-2m.

Step by step solution

01

Given information

For an electron: r1=1cm=10-2m

Charge of electron=-q

Linear charge density in case of electronλ1=λ

Charge of proton=+q

Linear charge densityλ2=2λ

02

Explanation

F=-e2λ4πe010-2⇒F=e2(2λ)4πe0r2⇒-e2λ4πe010-2=e2(2λ)4πe0r2r2=-2×10-2mr2=2×10-2m

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