Questions: A Gaussian cylinder is drawn around some hidden charges, as shown in the figure below. Part 1 Given this pattern of electric field on the surface of the cylinder, how much net charge is inside? - The quantity cannot be measured, but the net charge is negative; there is twice the amount of negative charge inside as positive charge. - The quantity cannot be measured, but the net charge is positive; there is twice the amount of positive charge inside as negative charge. - The net charge is zero. Save for Later Attempts: 0 of 6 used Submit Answer Using multiple attempts will impact your score. 40% score reduction after attempt 3 Part 2 Invent a possible charge distribution inside the cylinder that could give this pattern of electric field. - a point charge - a uniformly charged ring, which shares a central axis with the cylinder - a dipole, with the positive charge on the left end of the cylinder - a dipole, with the positive charge on the right end of the cylinder - a uniformly charged rod

A Gaussian cylinder is drawn around some hidden charges, as shown in the figure below.

Part 1

Given this pattern of electric field on the surface of the cylinder, how much net charge is inside?
- The quantity cannot be measured, but the net charge is negative; there is twice the amount of negative charge inside as positive charge.
- The quantity cannot be measured, but the net charge is positive; there is twice the amount of positive charge inside as negative charge.
- The net charge is zero.
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Attempts: 0 of 6 used
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Using multiple attempts will impact your score.
40% score reduction after attempt 3

Part 2

Invent a possible charge distribution inside the cylinder that could give this pattern of electric field.
- a point charge
- a uniformly charged ring, which shares a central axis with the cylinder
- a dipole, with the positive charge on the left end of the cylinder
- a dipole, with the positive charge on the right end of the cylinder
- a uniformly charged rod
Transcript text: A Gaussian cylinder is drawn around some hidden charges, as shown in the figure below. Part 1 Given this pattern of electric field on the surface of the cylinder, how much net charge is inside? The quantity can not be measured, but the net charge is negative; there is twice the amount of negative charge inside as positive charge. The quantity can not be measured, but the net charge is positive; there is twice the amount of positive charge inside as negative charge. The net charge is zero. Save for Later Attempts: 0 of 6 used Submit Answer Using multiple attempts will impact your score. $40 \%$ score reduction after attempt 3 Part 2 Invent a possible charge distribution inside the cylinder that could give this pattern of electric field. a point charge a uniformly charged ring, which shares a central axis with the cylinder a dipole, with the positive charge on the left end of the cylinder a dipole, with the positive charge on the right end of the cylinder a uniformly charged rod
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Solution

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Solution Steps

Step 1: Apply Gauss's Law

Gauss's Law states that the electric flux through a closed surface is proportional to the enclosed charge. The electric field lines are pointing radially outwards from the cylindrical surface. This indicates a net positive charge within the Gaussian surface. Since the field lines are uniform and radially outward, the net flux through the surface is positive and constant.

Step 2: Determine the net charge

Because the electric field lines are directed outward and symmetrical across the Gaussian surface, this tells us there is a net charge enclosed and it is positive.

Step 3: Possible charge distribution

A dipole with the positive charge on the right end of the cylinder could produce the outward-pointing electric field depicted.

Final Answer:

Part 1: The net charge is positive.

Part 2: A dipole, with the positive charge on the right end of the cylinder.

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