A beam contains 2.7 x 109 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 4.9 x 105 m/s. What is (a) the magnitude of the current density and (b) direction of the current density . (c) What additional quantity do you need to calculate the total current i in this ion beam? (a) Number Units A/m^2 to the north (b) cross-sectional area of ion beam (c) Use correct number of significant digits; the tolerance is +/-1 in the 2nd significant digit
A beam contains 2.7 x 109 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 4.9 x 105 m/s. What is (a) the magnitude of the current density and (b) direction of the current density . (c) What additional quantity do you need to calculate the total current i in this ion beam? (a) Number Units A/m^2 to the north (b) cross-sectional area of ion beam (c) Use correct number of significant digits; the tolerance is +/-1 in the 2nd significant digit
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![### Problem Statement:
A beam contains \(2.7 \times 10^9\) doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of \(4.9 \times 10^5\) m/s.
### Questions:
1. **(a)** What is the magnitude of the current density \( \vec{J} \)?
2. **(b)** What is the direction of the current density \( \vec{J} \)?
3. **(c)** What additional quantity do you need to calculate the total current \( i \) in this ion beam?
### Answers:
- **(a)** Number: [Input field], Units: [A/m\(^2\)]
- **(b)** Direction: [to the north] (Check box selected)
- **(c)** Additional quantity: [cross-sectional area of ion beam] (Check box selected)
### Note:
Use the correct number of significant digits; the tolerance is +/-1 in the second significant digit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b34fbf0-f4e4-4f82-bff3-9489c249d683%2Ffc277eef-cc22-46bb-8930-42dd1cb14e5a%2F6on8dp6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
A beam contains \(2.7 \times 10^9\) doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of \(4.9 \times 10^5\) m/s.
### Questions:
1. **(a)** What is the magnitude of the current density \( \vec{J} \)?
2. **(b)** What is the direction of the current density \( \vec{J} \)?
3. **(c)** What additional quantity do you need to calculate the total current \( i \) in this ion beam?
### Answers:
- **(a)** Number: [Input field], Units: [A/m\(^2\)]
- **(b)** Direction: [to the north] (Check box selected)
- **(c)** Additional quantity: [cross-sectional area of ion beam] (Check box selected)
### Note:
Use the correct number of significant digits; the tolerance is +/-1 in the second significant digit.
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