Chapter 23: Q. 12 (page 653)

The electric field $5.0 c m$ from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in $n C$ ) on a $1.0$ -cm-long segment of the wire?

Short Answer

Expert verified

The charge on a $1.0$ -cm-long segment of the wire is $- 1.11 n C$

Step by step solution

Given information

The electric field of the negatively charged wire at $5 c m$ is $2000 N / C$

Explanation

Electric field strength due to a long charged wire is

$E = \frac{λ}{2 {πϵ}_{0} r} where E = 2000 N / C andristhedistancefromthewire$

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

$λ = 2 {πϵ}_{0} rE λ = - 2 \times 3.14 \times 8.85 \times 10^{- 12} \times 2000 λ = - 1.11 \times 10^{- 7} N / m$

Charge on the wire if its $1 c m$ long is

$λ = \frac{q}{L} where L isthelengthofthewire$

role="math" localid="1648666464668" $q = λ L q = (- 1.11 \times 10^{- 7} N / m) (10^{- 2} m) = - 1.11 \times 10^{- 9} C = - 1.11 n C$

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The electric field $5.0 c m$ from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in $n C$ ) on a $1.0$ -cm-long segment of the wire?

Short Answer

Step by step solution

Given information

Explanation

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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

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electromagnetism

Force

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Study anywhere. Anytime. Across all devices.

The electric field $5.0 c m$ from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in $n C$ ) on a $1.0$ -cm-long segment of the wire?