The solenoid is very lo

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Chapter29: Magnetic Fields
Section: Chapter Questions
Problem 29.4OQ: A proton moving horizontally enters a region where a uniform magnetic field is directed...
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•P
А.
В.
d
D
°
Now we're viewing a cross-section of a solenoid that has n turns per unit length and a current I. The solenoid is very long –
we can consider it to be infinitely long for our purposes – and the individual colds are very tightly packed.
a.
What's the direction of the magnetic field inside the solenoid? (Hint: use your knowledge of the field produced by
currents to vector-add the fields at each point.) You can write your answer here or upload a picture of your drawn
arrows.
b. How does the magnitude of the magnetic field vary from point A to point B? What about from point C to point D?
The magnetic field outside the solenoid (e.g. at point P) is zero. Explain why this makes sense. Draw an Amperian
loop that includes points A and P. What shape of a loop makes sense to use, for the purpose of finding the
magnetic field at point A? Explain why you chose the shape you chose.
d. Use Ampere's law to find the magnitude of the magnetic field at point A inside the solenoid.
С.
е.
Does the magnetic field strength depend on location within the solenoid? Explain how you know.
Transcribed Image Text:•P А. В. d D ° Now we're viewing a cross-section of a solenoid that has n turns per unit length and a current I. The solenoid is very long – we can consider it to be infinitely long for our purposes – and the individual colds are very tightly packed. a. What's the direction of the magnetic field inside the solenoid? (Hint: use your knowledge of the field produced by currents to vector-add the fields at each point.) You can write your answer here or upload a picture of your drawn arrows. b. How does the magnitude of the magnetic field vary from point A to point B? What about from point C to point D? The magnetic field outside the solenoid (e.g. at point P) is zero. Explain why this makes sense. Draw an Amperian loop that includes points A and P. What shape of a loop makes sense to use, for the purpose of finding the magnetic field at point A? Explain why you chose the shape you chose. d. Use Ampere's law to find the magnitude of the magnetic field at point A inside the solenoid. С. е. Does the magnetic field strength depend on location within the solenoid? Explain how you know.
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