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Of the intervals shown, determine the intervals in which the electric field has its largest and smallest magnitudes (i.e. the absolute value) and find those magnitudes. Ignore the behavior at the end points of the intervals. V Emax m Emin ... m

Of the intervals shown, determine the intervals in which the electric field has its largest and smallest magnitudes (i.e. the absolute value) and find those magnitudes. Ignore the behavior at the end points of the intervals. V Emax m Emin ... m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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refer to graph to anwer what charge distribution would produce...

 

Suppose that the electric potential varies along the x-axis as shown in the graph. The potential does not vary in the y or z directions. **Graph Explanation:** The graph depicts the electric potential \( V \) in volts as a function of position \( x \). The curve starts at point \( a \) with a voltage of \(-10\) volts at \( x = -3 \), then rises linearly to point \( b \) at \( x = -2 \) with a voltage of 16 volts. From \( b \), the potential decreases linearly to point \( c \) at \( x = 0 \) with a voltage of 8 volts, and remains constant from point \( c \) to point \( d \) at \( x = 1.5 \). Finally, the potential rises linearly again to \( x = 3 \) with a voltage of 10 volts. **Task:** Determine the intervals along the x-axis where the electric field has its largest and smallest magnitudes (absolute values) and find those magnitudes. Ignore the behavior at the endpoints of the intervals. - \( E_{\text{max}} = \) __________ \([ \frac{V}{m} ]\) - \( E_{\text{min}} = \) __________ \([ \frac{V}{m} ]\)
Transcribed Image Text:Suppose that the electric potential varies along the x-axis as shown in the graph. The potential does not vary in the y or z directions. **Graph Explanation:** The graph depicts the electric potential \( V \) in volts as a function of position \( x \). The curve starts at point \( a \) with a voltage of \(-10\) volts at \( x = -3 \), then rises linearly to point \( b \) at \( x = -2 \) with a voltage of 16 volts. From \( b \), the potential decreases linearly to point \( c \) at \( x = 0 \) with a voltage of 8 volts, and remains constant from point \( c \) to point \( d \) at \( x = 1.5 \). Finally, the potential rises linearly again to \( x = 3 \) with a voltage of 10 volts. **Task:** Determine the intervals along the x-axis where the electric field has its largest and smallest magnitudes (absolute values) and find those magnitudes. Ignore the behavior at the endpoints of the intervals. - \( E_{\text{max}} = \) __________ \([ \frac{V}{m} ]\) - \( E_{\text{min}} = \) __________ \([ \frac{V}{m} ]\)
**Problem:** What charge distributions would produce the potential function of the previous problem? **Options:** 1. ○ Slabs of charge extending in the yz directions with different charge densities between each vertex b, c, and d 2. ○ Point charges located at each vertex b, c, and d 3. ○ Lines of charge in the z direction at each vertex b, c, and d 4. ● Some other distribution entirely 5. ○ Not enough information given to answer 6. ○ Sheets of charge in the yz plane at each position b, c, and d
Transcribed Image Text:**Problem:** What charge distributions would produce the potential function of the previous problem? **Options:** 1. ○ Slabs of charge extending in the yz directions with different charge densities between each vertex b, c, and d 2. ○ Point charges located at each vertex b, c, and d 3. ○ Lines of charge in the z direction at each vertex b, c, and d 4. ● Some other distribution entirely 5. ○ Not enough information given to answer 6. ○ Sheets of charge in the yz plane at each position b, c, and d
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