+2uC and -2uC charges inside a closed gauss box.

In summary, inside a closed Gauss box with +2uC and -2uC charges, the electric field is zero everywhere inside the box and the net electric flux through the box is zero. This assumes that the charges are separated and the inside of the box is a dielectric.
  • #1
killerdevil
20
0
Electric Field inside a closed gauss box.

Homework Statement



there are +2uC and -2uC charges inside a close "Gauss" box. Which of the following statement is true?

Homework Equations



given option are:
1) the net electric flux through the box is zero
2) the electric field is zero everywhere outside the box
3) the electric field is zero everywhere inside the box
4) the electric field is zero everywhere on the surface of the box
5) the charge inside the box must be equal to the charge outside the box, but with the different sign

The Attempt at a Solution



filtering out the above options, i am stuck with just this 2 choice:
1) the net electric flux through the box is zero; &
3) the electric field is zero everywhere inside the box.

if i assume that the conductor is in electrostatic equilibrium, the obvious answer would be (3). then again, since it is a enclosed box, am i right to say that the net electric flux through the box is zero?

sorry. i am confused.
 
Last edited:
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  • #2
You have to assume the charges are separated, i.e. the inside of your box is a dielectric (insulator), otherwise the charges would null each other out. So your statement that the box is a conductor is impossible.

So think instead of these charges dispersed in any way you can think. For example, you might have the + charges nearer one end of the box, the - ones near the other.
 

Related to +2uC and -2uC charges inside a closed gauss box.

1. What are +2uC and -2uC charges inside a closed gauss box?

The +2uC and -2uC charges refer to two charged particles with different magnitudes of charge. The "u" symbol represents microcoulombs, which is a unit of electric charge. These charges are inside a closed gauss box, which is a hypothetical container used for studying electric fields.

2. What is the purpose of studying these charges inside a closed gauss box?

The closed gauss box allows scientists to study the behavior of electric fields in a controlled environment. By varying the positions and magnitudes of the charges, scientists can observe how the electric field changes and how it affects other objects or particles placed inside the box.

3. How do +2uC and -2uC charges interact inside a closed gauss box?

Like charges repel each other, so the +2uC and -2uC charges will experience a repulsive force. This can be seen in the electric field lines, which will spread out from the positive charge and converge towards the negative charge. The strength of the force will depend on the distance between the charges and the magnitude of their charges.

4. Can the electric field inside a closed gauss box be zero?

Yes, it is possible for the electric field inside a closed gauss box to be zero. This occurs when the +2uC and -2uC charges are placed at equal distances from the center of the box. In this scenario, the electric field lines from the two charges cancel each other out, resulting in a net electric field of zero inside the box.

5. How do +2uC and -2uC charges inside a closed gauss box affect the electric potential?

The electric potential is a measure of the potential energy per unit charge at a certain point in an electric field. In a closed gauss box, the electric potential will be higher near the +2uC charge and lower near the -2uC charge. This is because work must be done to move a positive test charge from the -2uC charge to the +2uC charge, against the direction of the electric field. The closer the test charge is to the +2uC charge, the more work is required and the higher the electric potential will be.

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