Discharging a high voltage capacitor using a low voltage source?

In summary: Yes - the 'voltage source' receives charge from the Capacitor. But, as stated above, half the energy is lost in a 'simple' connecting circuit. However, using a suitable inductor can ensure (virtually) no energy loss.
  • #1
seahs
7
0
Suppose a capacitor is initially charged up to 2V, and then a 1V DC voltage source is used to discharge the capacitor to 1V, what is the energy consumption from the voltage source and what is the total energy loss?

Assume the capacitor is connected to the voltage source using a resistor and the capacitor is 1F.
 
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  • #2
Homework ?
 
  • #3
Carl Pugh said:
Homework ?

nope, just wondering what happens when the current flows into the voltage source
 
  • #4
If Vb is the battery (voltage source) voltage and Vc is the initial capacitor voltage then :

The energy gained by the voltage source is Vb*Q = Vb C ( Vc - Vb )

The reduction in stored energy in the capacitor is 1/2 * C ( Vc^2 - Vb^2 )

The energy lost is the difference of the above, which equals 1/2 * C (Vc - Vb)^2.

Note that this energy loss is independent of the value of the resistor used to connect the two.
 
  • #5
uart said:
If Vb is the battery (voltage source) voltage and Vc is the initial capacitor voltage then :

The energy gained by the voltage source is Vb*Q = Vb C ( Vc - Vb )

The reduction in stored energy in the capacitor is 1/2 * C ( Vc^2 - Vb^2 )

The energy lost is the difference of the above, which equals 1/2 * C (Vc - Vb)^2.

Note that this energy loss is independent of the value of the resistor used to connect the two.


Can the voltage source gain energy? what if the voltage source is like a non-rechargeable battery?
 
  • #6
A battery is not an ideal voltage source, but under some circumstances is a good approximation. The above analysis is based on an ideal voltage source. It is applicable to the case of a battery only to the extent that the battery can be modeled as an ideal voltage source.
 
  • #7
seahs said:
Can the voltage source gain energy? what if the voltage source is like a non-rechargeable battery?

Yes - the 'voltage source' receives charge from the Capacitor. But, as stated above, half the energy is lost in a 'simple' connecting circuit. However, using a suitable inductor can ensure (virtually) no energy loss.
 

1. What is the purpose of discharging a high voltage capacitor using a low voltage source?

The purpose of discharging a high voltage capacitor using a low voltage source is to safely remove any residual charge from the capacitor. This is important for preventing accidental shocks or damage to electronic components.

2. How does using a low voltage source discharge a high voltage capacitor?

The low voltage source, typically a resistor, is connected to the capacitor and allows the excess charge to slowly dissipate. This prevents a sudden discharge of high voltage, which can be dangerous.

3. Can any low voltage source be used to discharge a high voltage capacitor?

No, it is important to use a low voltage source with the appropriate resistance to safely discharge a high voltage capacitor. Using a source with too low resistance can cause a sudden and potentially harmful discharge.

4. How long does it take to discharge a high voltage capacitor using a low voltage source?

The time it takes to discharge a high voltage capacitor using a low voltage source depends on the capacitance of the capacitor and the resistance of the low voltage source. It can range from a few seconds to several minutes.

5. Is it necessary to discharge a high voltage capacitor before handling it?

Yes, it is necessary to discharge a high voltage capacitor before handling it to avoid any potential risks. Even if the capacitor has not been in use for a while, it is always best to discharge it before handling it to ensure safety.

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