Answer:
U/U₀ = 2
(factor of 2 i.e U = 2U₀)
Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected
Explanation:
Energy stored in a capacitor can be expressed as;
U = 0.5CV^2 = Q^2/2C
And
C = ε₀ A/d
Where
C = capacitance
V = potential difference
Q = charge
A = Area of plates
d = distance between plates
So
U = Q^2/2C = dQ^2/2ε₀ A
The initial energy of the capacitor at d = d₀ is
U₀ = Q^2/2C = d₀Q^2/2ε₀ A ....1
When the plate separation is increased after the capacitor has been disconnected, the charge Q of the capacitor remain constant.
The final energy stored in the capacitor at d = 2d₀ is
U = 2d₀Q^2/2ε₀ A ...2
The factor U/U₀ can be derived by substituting equation 1 and 2
U/U₀ = (2d₀Q^2/2ε₀ A)/( d₀Q^2/2ε₀ A )
Simplifying we have;
U/U₀ = 2
U = 2U₀
Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected.
The gases are like a mini air that helps them grow healthier
and bigger and stronger<span />
Answer:
Why are human beings not called autotrophs even if they make their food in
the kitchen?
How does photosynthesis help to maintain the percentage of oxygen and
carbondioxide in the atmosphere?
Explain photosynthesis with the help of a word equation.
Answer:
Objects move according to their net force, or the total amount of force acting on them. Balanced forces are just that, balanced. An object with balanced forces will not move because the opposing forces will cancel each other out. However, if there are unbalanced forces, the object will move in accordance with the force that is greater. When moving though, there is always friction. Whether you be underwater, on the ground, or in the air there is always friction on the Earth. (Besides vacuums, of course.)
Force is equal to mass x acceleration.
With that you can find the forces of the object if you know its mass and acceleration.
Explanation:
The motion of an object can be described in many ways, including path, speed, velocity, and acceleration.