7. Given an arc of a circle of some length, we can calculate the associated angle of that arc ae. 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'.]
7. Given an arc of a circle of some length, we can calculate the associated angle of that arc ae. 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'.]
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Just need #7, but need values from #6.
![**Problem 6:**
Suppose that the charged ring has a total charge of \( Q = 8 \, \mu C \) 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, computer gets: \( 9.09 \times 10^{-43} \, \mu C \)
**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.
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**Problem 7:**
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.']
\[ \Delta \theta = \]
**Hint:** The relationship between a circular arc length and its angle involves the radius.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a39407e-8b6e-45ca-91f9-5cf33a72fdc4%2Fc07f60b1-4594-486c-be60-83b984445613%2Fksycf2h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 6:**
Suppose that the charged ring has a total charge of \( Q = 8 \, \mu C \) 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, computer gets: \( 9.09 \times 10^{-43} \, \mu C \)
**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.
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**Problem 7:**
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.']
\[ \Delta \theta = \]
**Hint:** The relationship between a circular arc length and its angle involves the radius.
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