In the diagram below each unit on the horizontal axis is 3.00 cm and each unit on the vertical axis is 1.00 cm. The equipotential lines in a region of uniform electric field are indicated by the blue lines. (Note that the diagram is not drawn to scale.) 6 V 12 V 18 V 24 V 30 V

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Chapter1: Units, Trigonometry. And Vectors
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Hello, can you please help me do b and c

In the diagram below, each unit on the horizontal axis is 3.00 cm, and each unit on the vertical axis is 1.00 cm. The equipotential lines in a region of uniform electric field are indicated by the blue lines. (Note that the diagram is not drawn to scale.)

**Diagram Explanation:**

- The diagram features a set of straight, blue lines that are parallel and evenly spaced, representing equipotential lines in a uniform electric field.
- The equipotential lines are labeled with voltages: 6 V, 12 V, 18 V, 24 V, and 30 V, starting from the lowest on the left and increasing to the right.
- The horizontal and vertical axes are marked with scales where each unit represents 3.00 cm for the horizontal axis and 1.00 cm for the vertical axis.
- The lines suggest a uniform increase in potential energy across a field, typically associated with uniform electric fields where the electric force is consistent.
- Note that the lines are drawn at an angle, which suggests the direction of the electric field lines might be perpendicular to these equipotential lines.
Transcribed Image Text:In the diagram below, each unit on the horizontal axis is 3.00 cm, and each unit on the vertical axis is 1.00 cm. The equipotential lines in a region of uniform electric field are indicated by the blue lines. (Note that the diagram is not drawn to scale.) **Diagram Explanation:** - The diagram features a set of straight, blue lines that are parallel and evenly spaced, representing equipotential lines in a uniform electric field. - The equipotential lines are labeled with voltages: 6 V, 12 V, 18 V, 24 V, and 30 V, starting from the lowest on the left and increasing to the right. - The horizontal and vertical axes are marked with scales where each unit represents 3.00 cm for the horizontal axis and 1.00 cm for the vertical axis. - The lines suggest a uniform increase in potential energy across a field, typically associated with uniform electric fields where the electric force is consistent. - Note that the lines are drawn at an angle, which suggests the direction of the electric field lines might be perpendicular to these equipotential lines.
### Problem Questions

**(b)** Determine the magnitude of the electric field in this region.

[Input Box] V/m

**(c)** Determine the shortest distance for which the change in potential is 3 V.

[Input Box] mm

### Explanation

In this exercise, you are tasked with calculating two values related to electric fields and potentials:

1. **Electric Field Magnitude**: You need to determine the strength of the electric field in volts per meter (V/m). The electric field is a vector quantity that represents the force per unit charge at a point in space.

2. **Shortest Distance for a Potential Change**: You will also calculate the shortest distance over which there is a potential difference of 3 volts. This involves understanding how the electric field relates to changes in electric potential (voltage).

These questions help students understand the relationship between electric fields and electric potentials, crucial concepts in physics and engineering.
Transcribed Image Text:### Problem Questions **(b)** Determine the magnitude of the electric field in this region. [Input Box] V/m **(c)** Determine the shortest distance for which the change in potential is 3 V. [Input Box] mm ### Explanation In this exercise, you are tasked with calculating two values related to electric fields and potentials: 1. **Electric Field Magnitude**: You need to determine the strength of the electric field in volts per meter (V/m). The electric field is a vector quantity that represents the force per unit charge at a point in space. 2. **Shortest Distance for a Potential Change**: You will also calculate the shortest distance over which there is a potential difference of 3 volts. This involves understanding how the electric field relates to changes in electric potential (voltage). These questions help students understand the relationship between electric fields and electric potentials, crucial concepts in physics and engineering.
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