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8. The symmetry of this situation allows us to avoid worrying about y- and z- components of the electrie field. Therefore, caleulate the electric field at the position (4 cm, 0,0) produced by a tiay segment of the circle of angular size Ae that you found above. To do this, appronimate the small segment as a charged particle. dE, Submit Al Answers

8. The symmetry of this situation allows us to avoid worrying about y- and z- components of the electrie field. Therefore, caleulate the electric field at the position (4 cm, 0,0) produced by a tiay segment of the circle of angular size Ae that you found above. To do this, appronimate the small segment as a charged particle. dE, Submit Al Answers

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Use what was found for question 6 and 7 to help with #8.

**Problem 6: Calculating Charge on a Ring Segment** Suppose that the charged ring has a total charge of \( Q = 8 \, \mu \text{C} \) and a radius of \( R = 7 \, \text{cm} \). If the charge is uniformly distributed on the ring, how much charge is carried by a small, \(\Delta s = 5.0 \times 10^{-42} \, \text{cm}\) segment of the ring? **Solution:** Correct answer: \( 9.09 \times 10^{-43} \, \mu \text{C} \) **Hint:** First, find the ring’s linear charge density. Then multiply this by a length to get a charge contained in that length of ring. --- **Problem 7: Calculating the Angular Size of a Ring Segment** Given an arc of a circle of some length, we can calculate the associated angle of that arc \(\Delta \Theta\). Find the angular size of the tiny segment of the ring from the previous problem. [Your answer should come out in units of radians, input as 'rad.'] **Solution:** Correct answer: \( 7.14 \times 10^{-43} \, \text{rad} \)
Transcribed Image Text:**Problem 6: Calculating Charge on a Ring Segment** Suppose that the charged ring has a total charge of \( Q = 8 \, \mu \text{C} \) and a radius of \( R = 7 \, \text{cm} \). If the charge is uniformly distributed on the ring, how much charge is carried by a small, \(\Delta s = 5.0 \times 10^{-42} \, \text{cm}\) segment of the ring? **Solution:** Correct answer: \( 9.09 \times 10^{-43} \, \mu \text{C} \) **Hint:** First, find the ring’s linear charge density. Then multiply this by a length to get a charge contained in that length of ring. --- **Problem 7: Calculating the Angular Size of a Ring Segment** Given an arc of a circle of some length, we can calculate the associated angle of that arc \(\Delta \Theta\). Find the angular size of the tiny segment of the ring from the previous problem. [Your answer should come out in units of radians, input as 'rad.'] **Solution:** Correct answer: \( 7.14 \times 10^{-43} \, \text{rad} \)
**Problem Statement:** 8. The symmetry of this situation allows us to avoid worrying about \( y \)- and \( z \)-components of the electric field. Therefore, calculate the electric field at the position \( (4 \, \text{cm}, 0, 0) \) produced by a tiny segment of the circle of angular size \(\Delta \theta\) that you found above. To do this, approximate the small segment as a charged particle. **Task:** Calculate \( dE_x = \) (input field for an answer) **Submit Button:** Submit All Answers
Transcribed Image Text:**Problem Statement:** 8. The symmetry of this situation allows us to avoid worrying about \( y \)- and \( z \)-components of the electric field. Therefore, calculate the electric field at the position \( (4 \, \text{cm}, 0, 0) \) produced by a tiny segment of the circle of angular size \(\Delta \theta\) that you found above. To do this, approximate the small segment as a charged particle. **Task:** Calculate \( dE_x = \) (input field for an answer) **Submit Button:** Submit All Answers
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