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Semenov [28]
3 years ago
8

| The electric field 5.0 cm from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in nC) on a 1.0-cm

-long segment of the wire?
Physics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

The charge is 0.056 nC.

Explanation:

Given that,

Electric field = 2000 N/C

Distance = 5.0 cm

We need to calculate the charge density

Using formula of charge density

E=\dfrac{\lambda}{2\pi\times\epsilon_{0}r}

\lambda=2\pi\times\epsilon_{0}\times r\times E

Put the value into the formula

\lambda=2\pi\times8.85\times10^{-12}\times5.0\times10^{-2}\times2000

\lambda=5.56\times10^{-9}\ C/m

We need to calculate the charge in 1.0 cm

Using formula of charge

Charge = \lambda\times\text{length of segment}

Charge =5.56\times10^{-9}\times1.0\times10^{-2}

Charge=0.056\times10^{-9}\ C

Charge=0.056\ nC

Hence, The charge is 0.056 nC.

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