Why is current in Van De Graaff generator so low?

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Discussion Overview

The discussion focuses on the reasons behind the low current output of a Van de Graaff generator, particularly in relation to its potential difference and the mechanisms of charge transfer. Participants explore various aspects including electrostatic induction, impedance, capacitance, and the effects of current on human safety.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that the low current is due to the slow rate at which charges are transferred to the generator's dome via the insulated belt, resulting in a low rate of flow of charge.
  • Others argue that while the generator can reach high potentials, the current flow from the dome to a person or object is limited by impedance and capacitance, which affects the discharge rate.
  • One participant notes that the initial current from a high-voltage source can be substantial, but its short duration makes it harmless.
  • There are discussions about the role of capacitance in determining the charge available and how it relates to the potential of the generator.
  • Some participants highlight that the impressive visual effects of discharges do not correlate with harmful current levels, as the actual current during a discharge is low.
  • Concerns are raised about the safety of different electrostatic devices, comparing the Van de Graaff generator to Wimshurst machines in terms of their potential hazards.

Areas of Agreement / Disagreement

Participants express a range of views on the mechanisms behind the low current in Van de Graaff generators, with no clear consensus reached. While some agree on the role of impedance and capacitance, others emphasize different aspects of charge transfer and safety.

Contextual Notes

Limitations in understanding include the dependence on specific definitions of impedance and capacitance, as well as the unresolved nature of how these factors interact during operation. The discussion also reflects varying interpretations of the relationship between charge, current, and safety.

Who May Find This Useful

This discussion may be of interest to students and educators in physics, electrical engineering, and those exploring electrostatics and safety in high-voltage applications.

weezy
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I know that current depends on the impedance and potential difference b/w two points so why does a van de graaff generator pose no serious shock hazard i.e. why the extremely low current between the generator and ground? As seen in this video demonstration the instructor safely touches the generator and ground:
 
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weezy said:
e. why the extremely low current between the generator and ground?
It's simply because all the charges are being taken to the ball on the moving insulated belt. Those charges are formed on the belt at the bottom by electrostatic induction and the rate they are produced is very small. Current is rate of flow of charge. Few charges per second equals low current.
 
@sophiecentaur gave you the right answer. A belt picking up one electron at a time is no competition for a wire for conducting currents.

As a college student, I met Doctor Van De Graff. He was very proud of his invention. A company was making large quantities of large Van De Graff generators for use in making heat-shrinkable plastic. They may still use the same method of making heat-shrink today, but I don't know.
 
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sophiecentaur said:
It's simply because all the charges are being taken to the ball on the moving insulated belt. Those charges are formed on the belt at the bottom by electrostatic induction and the rate they are produced is very small. Current is rate of flow of charge. Few charges per second equals low current.

anorlunda said:
@sophiecentaur gave you the right answer. A belt picking up one electron at a time is no competition for a wire for conducting currents.
for me, and maybe the OP, that doesn't even begin to answer the question, as it is not about the charge transfer to the dome from the belt rather it is about the transfer from a dome that is now fully charged to a person/other object
The dome sitting at say 250kV and discharging into some object is a higher rate of current flow.
I have just finished reading a dozen links on google and none of them gave any sort of answer regarding current flow from a charged sphere to an object is so low.
One description read that it max's at around 200mA and others commented that the sphere can be considered a constant current source

It does appear as tho it is all about impedance ...
the impedance between the sphere and a discharge want is much lower than that between the sphere and a hand on the sphere ... hence the larger flow of current via the spark discharge ?Dave
 
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From what I read a current of 6mA is enough to shock you on dry skin. While it's true charge build up is slow on a Van De Graff generator it still says that to achieve a potential that big a huge amount of charge is needed and if you touch the ground while touching a generator it should shock you appreciably. Given it's DC and human skin resistance is around 1Mega Ohm
 
Is it because of the short duration of shock?
 
davenn said:
It does appear as tho it is all about impedance ...
You can look at it as a high resistance (charges carried by the belt at a slow rate) and a small capacitance to Earth. At 250kV (on a good day) and with not many pF, the charge available is very small.
 
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But isn't a lot of charge required to reach the potential in the first place?
sophiecentaur said:
You can look at it as a high resistance (charges carried by the belt at a slow rate) and a small capacitance to Earth. At 250kV (on a good day) and with not many pF, the charge available is very small.
 
weezy said:
But isn't a lot of charge required to reach the potential in the first place?
Q=CV
If you have a small capacitance, you only need a small charge to reach a high voltage. That's why Van deGraaff generators are approved for Schools; you really can't harm anyone with one of those. Wimshurst Machines, on the other hand, are not allowed anywhere near a School because the Leydon Jar capacitors ('Condensers') have a significant capacitance.
 
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  • #10
davenn said:
it is not about the charge transfer to the dome from the belt rather it is about the transfer from a dome that is now fully charged to a person/other object

If it makes a flash every 3 seconds, then discha

The deceiving part is the impressive lightning flashes. Unlike natural lightning, these flashes have very low currents. That is why the humans don't get injured.
 
  • #11
anorlunda said:
If it makes a flash every 3 seconds, then discha

The deceiving part is the impressive lightning flashes. Unlike natural lightning, these flashes have very low currents. That is why the humans don't get injured.
. . . . and charge. In the end, it's total charge passed that governs the damage done. Initial current from a 250kV source through a human will be very high ( a substantial fraction of an Amp, even). That current is only sustained for a very short while (fraction of a millisecond) so it's harmless.
 
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  • #12
Capacitance is very relevant here. If you get a chain of half a dozen kids to hold hands, standing on plastic buckets, with one end attached to the Van de Graaf (switched 0ff). Then start the motor and wait a minute or so. The total capacitance of kids plus ball is much greater and will give a seventh kid much more of a belt when they touch one of the charged kids.
 
  • #13
sophiecentaur said:
. . . . and charge. In the end, it's total charge passed that governs the damage done. Initial current from a 250kV source through a human will be very high ( a substantial fraction of an Amp, even). That current is only sustained for a very short while (fraction of a millisecond) so it's harmless.
Yes I agree it's the short duration which makes the current spark sting from a V.D generator but nothing lethal
 
  • #14
sophiecentaur said:
Capacitance is very relevant here. If you get a chain of half a dozen kids to hold hands, standing on plastic buckets, with one end attached to the Van de Graaf (switched 0ff). Then start the motor and wait a minute or so. The total capacitance of kids plus ball is much greater and will give a seventh kid much more of a belt when they touch one of the charged kids.
So the potential should go down right? With C increased so much?
 
  • #15
weezy said:
So the potential should go down right? With C increased so much?
Leakage may get worse and limit the final volts a bit but with a higher C, it just takes longer to charge up. The input current is, as always, limited by belt speed and rate of deposited charges on the best.
 
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