As a summer intern at a research lab, you are given a long solenoid that has two separate windings that are wound close together, in the same direction, on the same hollow cylindrical form. You must determine the number of turns in each winding. The solenoid has length L = 43.0 cm and diameter 2.80 cm. You let a 2.00-mA current flow in winding 1 and vary the current I in winding 2; both currents flow in the same direction. Then you measure the magnetic-field magnitude B at the center of the solenoid as a function of I. You plot your results as BL/μ versus I. The graph in (Figure 1) shows the best-fit straight line to your data. Part B Use the graph to calculate the number of turns in winding 1. Express your answer using three significant figures. ΕΠΙ ΑΣΦ VAΣ N₁ 4000 ? Figure BL/P (A) 1 of 1 16.00 12.00 8.00 4.00 0.00 I (mA) 0.00 1.00 2.00 3.00 4.00 5.00 6.00 Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Part C Use the graph to calculate the number of turns in winding 2. Express your answer using three significant figures. ΕΧΕΙ ΑΣΦ VAΣ+ ? N₂ = Submit Request Answer Part D If the current in winding 1 remains 2.00 mA in its original direction and winding 2 has I = 5.00 mA in the opposite direction, what is B at the center of the solenoid?

University Physics Volume 2
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 54P: By how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long,...
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As a summer intern at a research lab, you are given a long
solenoid that has two separate windings that are wound
close together, in the same direction, on the same hollow
cylindrical form. You must determine the number of turns
in each winding. The solenoid has length L = 43.0 cm
and diameter 2.80 cm. You let a 2.00-mA current flow in
winding 1 and vary the current I in winding 2; both
currents flow in the same direction. Then you measure the
magnetic-field magnitude B at the center of the solenoid
as a function of I. You plot your results as BL/μ
versus I. The graph in (Figure 1) shows the best-fit
straight line to your data.
Part B
Use the graph to calculate the number of turns in winding 1.
Express your answer using three significant figures.
ΕΠΙ ΑΣΦ
VAΣ
N₁ 4000
?
Figure
BL/P (A)
1 of 1
16.00
12.00
8.00
4.00
0.00
I (mA)
0.00 1.00 2.00 3.00 4.00 5.00 6.00
Submit Previous Answers Request Answer
× Incorrect; Try Again; 5 attempts remaining
Part C
Use the graph to calculate the number of turns in winding 2.
Express your answer using three significant figures.
ΕΧΕΙ ΑΣΦ
VAΣ+
?
N₂ =
Submit
Request Answer
Part D
If the current in winding 1 remains 2.00 mA in its original direction and winding 2 has I = 5.00 mA in the opposite direction, what is B at the center of the
solenoid?
Transcribed Image Text:As a summer intern at a research lab, you are given a long solenoid that has two separate windings that are wound close together, in the same direction, on the same hollow cylindrical form. You must determine the number of turns in each winding. The solenoid has length L = 43.0 cm and diameter 2.80 cm. You let a 2.00-mA current flow in winding 1 and vary the current I in winding 2; both currents flow in the same direction. Then you measure the magnetic-field magnitude B at the center of the solenoid as a function of I. You plot your results as BL/μ versus I. The graph in (Figure 1) shows the best-fit straight line to your data. Part B Use the graph to calculate the number of turns in winding 1. Express your answer using three significant figures. ΕΠΙ ΑΣΦ VAΣ N₁ 4000 ? Figure BL/P (A) 1 of 1 16.00 12.00 8.00 4.00 0.00 I (mA) 0.00 1.00 2.00 3.00 4.00 5.00 6.00 Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Part C Use the graph to calculate the number of turns in winding 2. Express your answer using three significant figures. ΕΧΕΙ ΑΣΦ VAΣ+ ? N₂ = Submit Request Answer Part D If the current in winding 1 remains 2.00 mA in its original direction and winding 2 has I = 5.00 mA in the opposite direction, what is B at the center of the solenoid?
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