Finding the E field with a changing p?

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In summary, changing the magnitude of charge affects the strength of the electric field, as it is directly proportional to the charge and inversely proportional to the distance between charges. To calculate the electric field when the charge is changing over time, the equation E = kq/r^2 can be used, and the direction of the electric field will change as the direction of the changing charge changes. Changing the distance between charges also affects the strength of the electric field, with closer charges resulting in a stronger field. However, the electric field can still exist without a changing charge, though it may change if the distance between charges changes or new charges are introduced.
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swimforever
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Finding the E field with a changing p?

Given that ρ=ρ0r/R when finding the charge enclosed would you use

1:Qencl = ∫(ρ*dV)

or

2: Qencl = ρV given that ρ has already been given with a coefficient to account for a changing r?
 
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If you mean that little 'r' is a variable radius then you must integrate (option 1), because the charge density is a function of the radius.

Integrate over a volume if the problem is 3dimensional, or over an area if the problem is 2d.
 

1. How does changing the magnitude of charge affect the electric field?

When the magnitude of charge changes, the electric field also changes. This is because the electric field is directly proportional to the charge and inversely proportional to the square of the distance between the charges. Therefore, by changing the magnitude of charge, the strength of the electric field at a given point will also change.

2. How do you calculate the electric field when the charge is changing over time?

To calculate the electric field when the charge is changing over time, you can use the equation E = kq/r^2, where E is the electric field, k is the Coulomb's constant, q is the charge, and r is the distance between the charges. You will need to recalculate the electric field at different time intervals as the charge changes.

3. What is the relationship between the direction of the electric field and the direction of the changing charge?

The direction of the electric field is always in the direction that a positive test charge would move in the presence of the electric field. Therefore, the direction of the electric field will change as the direction of the changing charge changes.

4. How does changing the distance between charges affect the electric field?

Changing the distance between the charges will change the strength of the electric field. As the distance between the charges decreases, the electric field will become stronger, and as the distance increases, the electric field will become weaker.

5. Can the electric field exist without a changing charge?

Yes, the electric field can exist without a changing charge. The electric field is created by stationary charges and can exist even when the charges are not changing. However, the electric field may change if the distance between charges changes or if new charges are introduced into the system.

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