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CP Two large, parallel conducting plates carrying opposite

Chapter 23, Problem 38E

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QUESTION:

CP Two large, parallel conducting plates carrying opposite charges of equal magnitude are separated by

(a) If the surface charge density for each plate has magnitude 47.0 \(\mathrm{nC} / \mathrm{m}^{2}\) what is the magnitude of \(\overrightarrow{\boldsymbol{E}}\) in the region between the plates?

(b) What is the potential difference between the two plates?

(c) If the separation between the plates is doubled while the surface charge density is kept constant at the value in part (a), what happens to the magnitude of the electric field and to the potential difference?

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QUESTION:

CP Two large, parallel conducting plates carrying opposite charges of equal magnitude are separated by

(a) If the surface charge density for each plate has magnitude 47.0 \(\mathrm{nC} / \mathrm{m}^{2}\) what is the magnitude of \(\overrightarrow{\boldsymbol{E}}\) in the region between the plates?

(b) What is the potential difference between the two plates?

(c) If the separation between the plates is doubled while the surface charge density is kept constant at the value in part (a), what happens to the magnitude of the electric field and to the potential difference?

ANSWER:

Solution 38E The relationship between magnitude of electric field and surface charge density is given by E = , where is the permittivity of free space. 0 0 2 9 2 (a) We are given, = 47.0 nC/m = 47.0 × 10 C/m Therefore, the magnitude of electric field

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