24. Electric Force & Field; Gauss' Law

Which statement best describes how $\mathrm{electric} \mathrm{field} \mathrm{lines}$ indicate the strength of the $\mathrm{electric} \mathrm{field}$ at a given point?

Electric field lines can never cross. What would crossed electric field lines indicate?

Which of the following statements about $\mathrm{electric} \mathrm{field} \mathrm{lines}$ is correct?

Which of the following statements about electric field strength at a point is correct based on the pattern of electric field lines?

In the context of electric field lines, what does the continuous line connecting items in a circuit diagram typically represent?

Which of the following statements about electric field lines is true?

Given a diagram showing a positive point charge $q$ and a dot located near it, which arrow best represents the direction of the electric field vector $\overrightarrow{E}$ at the position of the dot?

Draw the field lines for a pair of identical, positive charges.

Draw, approximately, the electric field lines emanating from a uniformly charged straight wire whose length ℓ is not great. The spacing between lines near the wire should be much less than ℓ. [Hint: Also consider points very far from the wire up to 4ℓ \.]

Draw, approximately, the electric field lines about two point charges, +Q and -3Q, which are a distance ℓ apart.

FIGURE EX24.3 shows a cross section of two infinite parallel planes of charge. Draw this figure on your paper, then draw electric field vectors showing the shape of the electric field.

You’ve hung two very large sheets of plastic facing each other with distance d between them, as shown in FIGURE EX23.19. By rubbing them with wool and silk, you’ve managed to give one sheet a uniform surface charge density ${\eta }_1=-{\eta }_0$ and the other a uniform surface charge density ${\eta }_2=+3{\eta }_0$. What are the electric field vectors at points 1, 2, and 3?

FIGURE EX24.1 shows two cross sections of two infinitely long coaxial cylinders. The inner cylinder has a positive charge, the outer cylinder has an equal negative charge. Draw this figure on your paper, then draw electric field vectors showing the shape of the electric field.