9. Still refer to the above, find the electric potential at (0, 0, 1.5) a. 173 V b. 400 V c. 612 V d. 294 V e. none of these 10. An infinitely large non-conducting surface is uniformly charged. The electric field is 400 v/m everywhere. Find the surface charge density. 10-9 Cim? h 3.54 x 10° C/m? c. 6.68 x 10° C/m? d. 7.08 x 10° C/m²

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Question 10

This image contains a series of physics problems related to electric fields and potentials.

### Problems:

**9.** Refer to the diagram for details, and find the electric potential at the coordinates (0, 0, 1.5). Options provided are:
- a. 173 V
- b. 400 V
- c. 612 V
- d. 294 V
- e. none of these

**10.** An infinitely large non-conducting surface is uniformly charged, resulting in an electric field of 400 V/m everywhere. Determine the surface charge density. Options include:
- a. \(2.78 \times 10^{-9} \text{ C/m}^2\)
- b. \(3.54 \times 10^{-9} \text{ C/m}^2\)
- c. \(6.68 \times 10^{-9} \text{ C/m}^2\)
- d. \(7.08 \times 10^{-9} \text{ C/m}^2\)

Additionally, there is a problem related to an infinitely long wire which is uniformly charged. The voltage difference from \(r = 2\) m and \(r = 4\) m is 30 Volts, with the voltage higher near the wire.

**11.** Calculate the linear charge density \(\lambda\), given in nanoCoulombs per meter (nC/m). Options are:
- a. 1.2 nC/m
- b. 2.4 nC/m
- c. 3.6 nC/m
- d. 4.8 nC/m
- e. none of these

### Diagram Explanation:

The diagram accompanying the text is a simple illustration showing a charged disk with a reference point labeled \(P (0, 0, 1.5)\). It appears to depict the spatial relationship between electric forces or potentials referenced in the problems.

This set of problems can be used to deepen understanding of electric fields and potentials, involving applications of Gauss's Law, electric field equations, and potential difference calculations for different shapes of conductors and charge configurations.
Transcribed Image Text:This image contains a series of physics problems related to electric fields and potentials. ### Problems: **9.** Refer to the diagram for details, and find the electric potential at the coordinates (0, 0, 1.5). Options provided are: - a. 173 V - b. 400 V - c. 612 V - d. 294 V - e. none of these **10.** An infinitely large non-conducting surface is uniformly charged, resulting in an electric field of 400 V/m everywhere. Determine the surface charge density. Options include: - a. \(2.78 \times 10^{-9} \text{ C/m}^2\) - b. \(3.54 \times 10^{-9} \text{ C/m}^2\) - c. \(6.68 \times 10^{-9} \text{ C/m}^2\) - d. \(7.08 \times 10^{-9} \text{ C/m}^2\) Additionally, there is a problem related to an infinitely long wire which is uniformly charged. The voltage difference from \(r = 2\) m and \(r = 4\) m is 30 Volts, with the voltage higher near the wire. **11.** Calculate the linear charge density \(\lambda\), given in nanoCoulombs per meter (nC/m). Options are: - a. 1.2 nC/m - b. 2.4 nC/m - c. 3.6 nC/m - d. 4.8 nC/m - e. none of these ### Diagram Explanation: The diagram accompanying the text is a simple illustration showing a charged disk with a reference point labeled \(P (0, 0, 1.5)\). It appears to depict the spatial relationship between electric forces or potentials referenced in the problems. This set of problems can be used to deepen understanding of electric fields and potentials, involving applications of Gauss's Law, electric field equations, and potential difference calculations for different shapes of conductors and charge configurations.
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