The diagram above shows a closed side 0.5m in a uniform electric field E in the direction shown by the arrows. What is the flux Φ for the box?
0.5 E
2.0 E
0.2 E
0.0 E
Explanation
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Explanation from chat gpt;
This question is about electric flux in a uniform electric field. The key concept involved is Gauss's Law, which states that the total electric flux through a closed surface is given by...
However, a fundamental property of electric flux is that for a closed surface in a uniform electric field, the total flux is always zero when there are no enclosed charges. Here's why:
1. The box is a closed surface, meaning it has an equal number of entry and exit points for the electric field.
2. The electric field lines enter one side of the box and exit the opposite side.
3. The flux entering the box is negative, while the flux leaving is positive, and since the field is uniform, these fluxes cancel out exactly.
Conclusion:
The total flux for the box is zero because there is no net charge enclosed within the box.
The answer choice 0.5E is incorrect because it suggests that there is some net flux when in reality, the flux should be zero.
