Calculating Q such that E(0,0,0)=0

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In summary, the conversation discusses the calculation of Q in order to achieve a desired energy value of 0 at the origin (0,0,0). The formula for calculating Q is Q = 1/√(E(0,0,0)) and it must be a positive value in order to achieve the desired result. The purpose of calculating Q is to normalize the energy value at the origin and it can be verified by plugging in the calculated Q value into the formula. However, there may be limitations to achieving a perfectly normalized energy value of 0 at the origin.
  • #1
falyusuf
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Homework Statement
Attached below.
Relevant Equations
Attached below.
Question

1636907568790.png

Relevant equation;
gif.gif

My attempt:
%5C%5C%20Solve%5C%3Bfor%5C%3BQ%20%5C%5C%5C%5CQ%3D2.gif


Could someone please confirm my answer?
 
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  • #2
Electric field at the Origin contributed from half ring is of direction - y and its magnitude is expressed by integral
[tex]\frac{1}{4 \pi \epsilon_0} \int_0^\pi \frac{\rho r \sin\theta d\theta }{r^2}[/tex]
where r is radius of half ring, ##\rho## is line density of its charge.
 
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  • #3
The component radial is cancel out, because of all direction of component radial around circle center
 

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1. How do you calculate Q in order to make E(0,0,0) equal to 0?

To calculate Q, you need to use the formula Q = E(0,0,0)/k, where k is the Boltzmann constant. This will give you the value of Q that will make E(0,0,0) equal to 0.

2. What is the significance of making E(0,0,0) equal to 0?

Making E(0,0,0) equal to 0 is important in thermodynamics because it represents the energy of a system at its lowest possible state, also known as its ground state. This is a key concept in understanding the behavior of systems at different energy levels.

3. Can Q be negative when calculating E(0,0,0)=0?

Yes, Q can be negative when calculating E(0,0,0)=0. This can happen when the system has excess energy and needs to release it in order to reach its ground state.

4. How does the value of Q affect the energy of a system?

The value of Q directly affects the energy of a system. A higher value of Q means that the system has more energy, while a lower value of Q means that the system has less energy. This is because Q is a measure of the amount of energy needed to change the state of a system.

5. Is there a specific unit for Q when calculating E(0,0,0)=0?

Yes, Q is typically measured in units of energy, such as joules (J) or electron volts (eV). This is because Q represents the energy needed to change the state of a system, so it makes sense to measure it in units of energy.

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