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Chapter 23: Q. 12 (page 653)

The electric field 5.0cmfrom a very long charged wire is (2000 N/C, toward the wire). What is the charge (in nC) on a1.0-cm-long segment of the wire?

Short Answer

Expert verified

The charge on a 1.0-cm-long segment of the wire is -1.11nC

Step by step solution

01

Given information

The electric field of the negatively charged wire at5cmis2000N/C

02

Explanation

Electric field strength due to a long charged wire is

E=位2蟺系0rwhereE=2000N/Candristhedistancefromthewire

Since the electric field is towards the wire and it's negatively charged. Therefore the linear density is also negative.

位=2蟺系0rE位=-2脳3.14脳8.85脳10-12脳2000位=-1.11脳10-7N/m

Charge on the wire if its 1cmlong is

位=qLwhereListhelengthofthewire

role="math" localid="1648666464668" q=位Lq=-1.11脳10-7N/m10-2m=-1.11脳10-9C=-1.11nC

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