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tankabanditka
1 month ago
15

Two flat conductors are placed with their inner faces separated by 6.0 mm. If the surface charge density on one of the inner fac

es is 40 pC/m2, what is the magnitude of the electric potential differences between the two conductors?
Physics
1 answer:
Maru [3.3K]1 month ago
7 0

Explanation:

The electric field's relationship with charge density can be described as follows.

           E = \frac{\sigma}{2 \epsilon}

In this context,    \sigma refers to charge density

              \epsilon represents the permittivity of free space = 8.85 \times 10^{-12}

Thus, E_{\text{outside}} = 0

      E_{inside} = \frac{+\sigma}{2 \epsilon} - \frac{-\sigma}{2 \epsilon}

or,     E_{inside} = \frac{\sigma}{\epsilon}

We use the formula for calculating the potential difference between two conductive materials as follows.

         V_{1} - V_{2} = \frac{\sigma \times d}{\epsilon}

It is established that,

           d = 6.0 mm = 6 \times 10^{-3} m

        \sigma = 40 \times 10^{-12} C/m^{2}

Therefore, we can determine the magnitude of the electric potential differences that exist between these conductors as follows.

        V_{1} - V_{2} = \frac{\sigma \times d}{\epsilon}

                     = \frac{40 \times 10^{-12} \times 6 \times 10^{-3}}{8.85 \times 10^{-12}}      

                     = 0.0271 volts

Consequently, we conclude that the magnitude of the electric potential differences between the two conductors is 0.0271 volts.

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