Electric field strength of van de graff generator

Can anyone provide any insight into this discrepancy?In summary, the conversation is about the use of VDGG to produce a large PD and the dome of the generator with a radius of 0.15m. It is also mentioned that the charged stored on the dome is 5.0 x 10-6C. There is a question about the formula used to calculate the PD, with a discrepancy between the provided answer and the calculated answer due to a potential error in the equation.
  • #1
thisischris
26
1
A VDGG is used to produce a large PD. The dome of the generator has a radios of 0.15m. It is charged and gets a PD between the dome and the Earth of 75kV.

The charged stored on it is : 5.0 x 10-6C

Answer: Use of E = Q/4∏εr0. 3.0 x 105

My attempt: E = kQ/r2 = 8.99 x 109 x 5.0 x 10-6 / 0.152 = 2.00 x 106

I get the provided answer if I don't square the 0.15. It also seems to be a potential print error as r is not squared in their equation as well as having a 0 as a sub-ponent(opposite of exponent?)... Could anyone share any light on this?

Much appreciated :)
 
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  • #2
Uh what is the question?
 
  • #3
Sorry, long day!

I get an answer of 2.0 x106, while the provided answer is 3.0 x 105.
 

Related to Electric field strength of van de graff generator

What is a Van de Graff generator?

A Van de Graff generator is a device that uses static electricity to generate high voltages. It consists of a metal sphere or dome on top of a stand, with a rubber belt and two rollers that create a charge imbalance to build up static electricity.

How does a Van de Graff generator work?

The Van de Graff generator works by using a rubber belt and two rollers to create a charge imbalance. The belt rubs against the rollers, creating friction and causing electrons to be transferred from the belt to the metal dome, creating a positively charged dome. This charge continues to build up until it reaches a high enough voltage to create a spark or discharge.

What is the purpose of a Van de Graff generator?

The main purpose of a Van de Graff generator is to demonstrate the effects of static electricity and to generate high voltages for experiments or demonstrations in physics and electricity. It is also used in some industrial applications, such as in particle accelerators.

What is the electric field strength of a Van de Graff generator?

The electric field strength of a Van de Graff generator depends on the voltage it is generating. Generally, the higher the voltage, the stronger the electric field. It can range from a few thousand volts to millions of volts.

Is it dangerous to be near a Van de Graff generator?

It is generally safe to be near a Van de Graff generator, as the current produced is very low. However, it can generate high voltages, so it is important to follow safety precautions and avoid touching the generator while it is in operation. Also, people with pacemakers or other electronic medical devices should avoid being near high voltage equipment.

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