Two parallel plates that are initially uncharged are separated by 1.7 mm, have only air between them, and each have surface area s of 16 cm 2. How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε 0 = 8.85 × 10 -12 C 2/N ∙ m 2)
1 answer:
Answer:
Explanation:
The capacitor of a parallel-plate capacitor is given by:
where
A is the area of each plate
d is the separation between the plates
is the vacuum permittivity
The energy stored in a capacitor instead is given by
where
Q is the charge stored in each plate
Substituting the expression we found for C inside the last formula,
And re-arranging it
Now if we substitute
We find the charge stored on the capacitor:
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Explanation:
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