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gizmo_the_mogwai [7]
3 years ago
9

A battery charges capacitor A until the potential difference between the two conductors of the capacitor is V.

Physics
2 answers:
kow [346]3 years ago
8 0

Answer:

The stored energy (Potential difference) of capacitor B which is equal to 2V is twice as much as capacitor A which has a stored capacity of 1V or V.  Increased voltage also implies a reduction in the current passing through it.  

Explanation:

Potential Difference is simply the work that has to be done in transferring a unit positive charge from one point to the other. It is also referred to as the "Electric Potential".

Also, the potential difference between points A and B, V(B) - V(A), is the change in Potential energy of a charge (q) moved from A to B, divided by the charge. Its units are joules per coulomb which is also equal to volt (V).

Note: the relationship between Potential energy and Potential difference is expressed thus: Change in Potential Difference = Change in Potential Energy / Charge.

mojhsa [17]3 years ago
7 0

Answer:

The energy stored in capacitor B is four times the energy stored in capacitor A

Explanation:

First let the write-out the formula for the energy stored in a capacitor in-terms of the capacitance(C)and the voltage(V)

\\W_{energy}=\frac{1}{2}CV^{2}\\

For capacitor A charged to a voltage of V, The energy stored is

\\W_{A}=\frac{1}{2}CV^{2}\\

and for capacitor B, we have \\W_{B}=\frac{1}{2}C[2V]^{2}\\

\\ W_{B}=2CV^{2}\\

From the energy stored in Capacitor A we can arrive at

2W_{A}=CV^{2}\\

if we substitute this value into the energy for capacitor B we arrive at

\\W_{B}=2(2W_{A} )\\W_{B}=4W_{A}\\

Hence we can conclude that the energy stored in capacitor B is four times the energy stored in capacitor A

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Read 2 more answers
The capacitor is now disconnected from the battery, and the plates of the capacitor are then slowly pulled apart until the separ
alexdok [17]

Answer:

U₁ = (ϵAV²)/6d

This means that the new energy of the capacitor is (1/3) of the initial energy before the increased separation.

Explanation:

The energy stored in a capacitor is given by (1/2) (CV²)

Energy in the capacitor initially

U = CV²/2

V = voltage across the plates of the capacitor

C = capacitance of the capacitor

But the capacitance of a capacitor depends on the geometry of the capacitor is given by

C = ϵA/d

ϵ = Absolute permissivity of the dielectric material

A = Cross sectional Area of the capacitor

d = separation between the capacitor

So,

U = CV²/2

Substituting for C

U = ϵAV²/2d

Now, for U₁, the new distance between plates, d₁ = 3d

U₁ = ϵAV²/2d₁

U₁ = ϵAV²/(2(3d))

U₁ = (ϵAV²)/6d

This means that the new energy of the capacitor is (1/3) of the initial energy before the increased separation.

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