You have effectively got two capacitors in parallel. The effective capacitance is just the sum of the two.
Cequiv = ε₀A/d₁ + ε₀A/d₂ Take these over a common denominator (d₁d₂)
Cequiv = ε₀d₂A + ε₀d₁A / (d₁d₂) Cequiv = ε₀A( (d₁ + d₂) / (d₁d₂) )
B) It's tempting to just wave your arms and say that when d₁ or d₂ tends to zero C -> ∞, so the minimum will occur in the middle, where d₁ = d₂
But I suppose we ought to kick that idea around a bit.
(d₁ + d₂) is effectively a constant. It's the distance between the two outer plates. Call it D.
C = ε₀AD / d₁d₂ We can also say: d₂ = D - d₁ C = ε₀AD / d₁(D - d₁) C = ε₀AD / d₁D - d₁²
Differentiate with respect to d₁
dC/dd₁ = -ε₀AD(D - 2d₁) / (d₁D - d₁²)² {d2C/dd₁² is positive so it will give us a minimum} For max or min equate to zero.
-ε₀AD(D - 2d₁) / (d₁D - d₁²)² = 0 -ε₀AD(D - 2d₁) = 0 ε₀, A, and D are all non-zero, so (D - 2d₁) = 0 d₁ = ½D
In other words when the middle plate is halfway between the two outer plates, (quelle surprise) so that
d₁ = d₂ = ½D so
Cmin = ε₀AD / (½D)² Cmin = 4ε₀A / D Cmin = 4ε₀A / (d₁ + d₂)
Answer:
3.78075x10^6 kg x meter^2/ second^2
Explanation:
Kinetic energy K= 1/2 x mass x velocity^2
5g/cm³
it is not iron.
Explanation:
Given parameters:
Density of iron = 7.874g/cm³
Mass of metal = 2000g
Volume of metal = 400cm³
Unknown:
Density of bar = ?
Is it iron = ?
Solution:
The density of a substance is its mass per unit area. Every substance have an intensive density value that typifies them all.
The density of water and other substances are the same if they maintain their level of pureness.
Density = 
Density of metal bar = 
= 5g/cm³
Since this value is not the same as the given density of iron, it is not iron.
learn more:
Density brainly.com/question/5055270
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