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A 45-V battery is 1600 \(\mathrm{V/m}\). How far apart are the plates?

a) 28.9 \(\mathrm{mm}\)

b) 31.6 \(\mathrm{mm}\)

c) 34.2 \(\mathrm{mm}\)

d) 37.1 \(\mathrm{mm}\)

Answer :

Final answer:

The electric field strength between two parallel conducting plates can be used to determine the potential difference between the plates and the potential at a specific distance from one of the plates.

Explanation:

The electric field strength between two parallel conducting plates separated by 4.00 cm is 7.50×10^4 V/m.

The potential difference between the plates can be determined using the formula: V = Ed, where V is the potential difference and E is the electric field strength. Therefore, the potential difference between the plates is V = (7.50×10^4 V/m)(0.04 m) = 3.00×10^3 V.

The potential at a distance of 1.00 cm from the plate with the lowest potential (and 3.00 cm from the other plate) can be found using the formula: V = E*d, where E is the electric field strength and d is the distance from the plate.

Therefore, the potential at a distance of 1.00 cm from the plate with the lowest potential is V = (7.50×10^4 V/m)(0.01 m) = 750 V.

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