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Nikolay [14]
3 years ago
13

A very large sheet of a conductor carries a uniform charge density of on its surfaces. What is the electric field strength 3.00

mm outside the surface of the conductor?
Physics
1 answer:
olga55 [171]3 years ago
5 0

Complete Question

A very large sheet of a conductor carries a uniform charge density of 4.00\  pC/mm^2  on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor?

Answer:

The electric field is  E  =  4.5198 *10^{5} \ N/C

Explanation:

From the question we are told that

    The charge density is  \sigma  =  4.00pC  /mm^2 = 4.00 * 10^{-12 } *  10^{6} = 4.00 *10^{-6}C/m

    The position outside the surface is  a  =  3.00 \ mm  =  0.003 \ m

   

Generally the electric field is mathematically represented as

          E  =  \frac{\sigma}{\epsilon _o  }

Where  \epsilon_o is  the permitivity of free space with values  \epsilon _o  = 8.85 *10^{-12}  F/m

substituting values  

           E  =  \frac{4.0*10^{-6}}{8.85 *10^{-12}  }

           E  =  4.5198 *10^{5} \ N/C

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