How does the energy stored in a charged capacitor change if the battery is disconnected and the plates of the capacitor are moved further apart?

Capacitance C∝d1 when plates of a capacitor are moved farther, the capacitance decreases. After disconnecting the battery, the charge on capacitor remains constant, therefore the energy stored by capacitor U(=2Cq), increases.
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What happen to stored energy if after disconnecting the battery the plates of charged capacitor are drawn apart?

As seen in the equation, the energy of the capacitor is directly proportional to the separation between the plates. Hence doubling the plate separation after disconnecting the battery, the energy will be doubled.
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What happens to a capacitor when the battery is disconnected?

The capacitor gets charged to the battery voltage before it is disconnected from a battery. When the battery is disconnected from the capacitor, the charge stored in the capacitor remains the same. The voltage across the capacitor also will remain the same.
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What happens to the energy in a capacitor if a fully charged capacitor is disconnected from the battery and a dielectric is inserted into it?

With the battery connections removed, the charge on the capacitor is stranded on the capacitor plates so remains constant. Adding the dielectric increases the capacitance. From the equation, the energy is decreased.
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What happens to a parallel plate capacitor when the battery is disconnected?

Increasing the separation with the battery disconnected means that the capacitance of the capacitor decreases but the charge on the capacitor stays the same.
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Capacitors (7 of 9) Energy Stored in a Capacitor, An Explanation



What happens to the energy stored in a capacitor?

Solution. The plates of the capacitor is still connected to the battery, hence moving the plates further apart decreases the capacitance, hence energy stored in the capacitor decreases.
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Why does the energy stored in a capacitor increase when the separation of parallel plate capacitors increases?

Solution : When the plate separation is increased, the charge stored in the capacitor remains same and the capacitance decreases. Therefore, potential difference across the plates increases. <br> `therefore` The stored electric potential energy will increase by `(1)/(2)QDeltaV`.
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What happens to the energy stored in a capacitor connected to a battery when a dielectric is inserted?

When a dielectric slab is inserted between the plates of the capacitor, which is kept connected to the battery, i.e. the charge on it increases, then the capacitance (C) increases, potential difference (V) between the plates remains unchanged and the energy stored in the capacitor increases.
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What happens to the stored energy in a capacitor when the capacitor is discharged?

When your discharge the capacitor through a resister, the electrons from negative plate flows to the positive plate through the resister, hence cancelling the 'charge'. No electron lost / created, it just moves from one plate to another.
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How does the energy stored in a capacitor change when a dielectric is inserted if the capacitor is isolated so Q does not change?

Yes, energy stored in the capacitor increases when a dielectric is inserted because the capacitance increases, and energy is proportional to capacitance. Force is required to insert the dielectric inside the capacitor so yes, this applied force does work to increase the stored energy.
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What happens when capacitor plates are pulled apart?

Since the circuit is at a constant potential difference and the pulling apart of the capacitor plates reduces the capacitance,the energy stored in the capacitor also decreases. The energy lost by the capacitor is given to the battery (in effect, it goes to re-charging the battery).
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How much energy is stored in the capacitor?

How do you estimate the energy, E , stored in a capacitor with a capacitance, C , and an applied voltage, V ? It's equivalent to the work done by a battery to move charge Q to the capacitor. The resulting equation is: E = 1/2 * C * V² .
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How does a capacitor store energy and obtain the formula for the energy stored in the capacitor?

The work done to accumulate charge in a capacitor is the energy stored in a capacitor. Relation between electrical potential and work done. Formula used: V=QC, where, V represents the electrical potential, C represents the capacitance and Q represents the charge stored in a capacitor.
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What happens to the electrostatic energy stored in the capacitor as a result of pulling the plates apart?

The external agent pulling the plates apart did positive work (since the plates attract). That positive work done was stored as increased electrostatic potential energy in the capacitor. The stored energy increased.
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How does the energy stored in a capacitor change if the potential difference is doubled?

a) The energy stored in a capacitor is given by U = (1/2)CV2 As it is proportional to the square of potential difference across it hence if the potential difference doubled, it will result in increase in its energy four time the initial energy.
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Does a capacitor lose its charge once it is disconnected from the power source?

As the capacitor is being charged, the electrical field builds up. When a charged capacitor is disconnected from a battery, its energy remains in the field in the space between its plates.
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What happens when a capacitor is charged by a battery?

A capacitor, when connected to a battery, conducts for awhile but short while after that it acts as an open circuit. If an uncharged capacitor C is connected to a battery of potential V, then a transient current flows as the capacitor plates get charged.
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What happens to charge in a capacitor as it discharges?

As charge flows from one plate to the other through the resistor the charge is neutralised and so the current falls and the rate of decrease of potential difference also falls. Eventually the charge on the plates is zero and the current and potential difference are also zero - the capacitor is fully discharged.
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What happens to charge when capacitor discharges?

When the capacitor is discharging, the electron excess on the negatively charged plate starts to flow to the positively charged plate, which causes the capacitor to create an electron flow in the circuit and act as a voltage source for a period of time.
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How does the capacitance change with the effect of the dielectric when the battery remains connected across the capacitor?

How does the capacitance change with the effect of the dielectric when the battery remains connected across the capacitor? Explanation: When a dielectric is introduced, and the battery remains connected across the capacitor, the capacitance increases from C0 to C.
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How does the energy contained in a charged capacitor change when a dielectric is inserted assuming?

When a dielectric is inserted into an isolated and charged capacitor, the stored energy decreases to 33% of its original value.
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What is the effect of dielectric on energy stored when charging battery is not disconnected?

Without dielectric, the charge on the plates is Q0=C0V0=(20.0pF)(40.0V)=0.8nC. Since the battery is disconnected before the dielectric is inserted, the plate charge is unaffected by the dielectric and remains at 0.8 nC. c. With the dielectric, the potential difference becomes V=1κV0=12.140.0V=19.0V.
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How will the energy stored in the capacitor change as a result of this new separation distance?

The energy stored in the capacitor is proportional to the charge squared divided by the capacitance, but the capacitance will be cut in half if the plate separation is doubled. Therefore, the energy stored will double. This is because it requires work to pull apart the oppositely charged plates that attract each other.
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How does the energy stored in the capacitor change after this process?

Capacitance C∝d1 when plates of a capacitor are moved farther, the capacitance decreases. After disconnecting the battery, the charge on capacitor remains constant, therefore the energy stored by capacitor U(=2Cq), increases.
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Why does capacitance increase as plate separation decreases?

Capacitance is directly proportional to the electrostatic force field between the plates. This field is stronger when the plates are closer together. Therefore, as the distance between the plates decreases, capacitance increases.
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