How Does a Charge Exert Force on Itself?

In summary, the conversation discusses the concept of work done on a charge in the presence of electric and magnetic fields. The question arises about how a charge can exert force on itself, to which it is suggested to ignore the field of the given charge in the calculations. The reasoning is that the entire field is taken into account during the calculation, and the concept is based on the book written by Griffiths.
  • #1
Avi Nandi
25
0
Suppose some charge and current config is present which at time t produces fields
E and B. In the next instant dt the charges
move around a bit.
Work done on the charge q
F.dl=q(E+v×B).vdt=qE.vdt
dW/dt= qE.v

Now the question is q has also contribution in the field E. How the charge is exerting force on itself?
 
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  • #2
Unless your charge has some actual and variable distribution in space (then you probably need integration), ignore the field of a given charge to calculate how that charge moves.
 
  • #3
The problem: there is a charge and current configuration. Electric field and magnetic field originates from this configuration. The charges now move under the influence of the field in time dt. What is the work done by the field?
While calculating the work done we take force as ∫ρ(E+v×B).vdt dV. Why the same field originating from ρ exerting force on it?

We are not ignoring the field of the charge on which we are calculating force, the problem is the whole field is taken during calculation.
I am following the book written by Griffiths.
 

1. What is power delivered to a charge?

Power delivered to a charge is the rate at which energy is transferred to a charged object. It is a measure of how quickly work is done on the object, and is measured in watts (W).

2. How is power delivered to a charge calculated?

Power delivered to a charge can be calculated by multiplying the voltage (V) across the object by the current (I) flowing through it. This can be expressed as P = V x I.

3. What is the relationship between power delivered to a charge and time?

The relationship between power delivered to a charge and time is directly proportional. This means that as the amount of time increases, the power delivered also increases, and vice versa.

4. How does resistance affect power delivered to a charge?

Resistance has an inverse relationship with power delivered to a charge. This means that as the resistance increases, the power delivered decreases, and vice versa. This is because higher resistance leads to a decrease in current, which ultimately results in a lower power delivered.

5. Can power delivered to a charge be negative?

Yes, power delivered to a charge can be negative. This occurs when the direction of the current is opposite to the direction of the voltage. In this case, the object is absorbing energy instead of receiving it, resulting in a negative power value.

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