Chapter 21. Magnetic field inside a long, straight solenoid (19-17)

Question

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Question

ZikYp3NRCJfo3ATLBUerDNJ5HBWz2qpaH6Kfb+B23Cc=

{"title":"Magnetic field inside a long, straight solenoid","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,8,40,56\"}]"} {"title":"Number of windings per meter","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"150,22,184,55\"}]"} {"title":"Current in the solenoid windings","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"185,11,199,50\"}]"} {"title":"Permeability of free space","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"92,18,131,62\"}]"}

Question

6Kq8uokd3DcnnJDqz1t632fWSgV/nDoqQ4kn1nfHXjlPKc63

{"title":"Magnetic field inside a long, straight solenoid","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,8,40,56\"}]"} {"title":"Number of windings per meter","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"150,22,184,55\"}]"} {"title":"Current in the solenoid windings","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"185,11,199,50\"}]"} {"title":"Permeability of free space","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"92,18,131,62\"}]"}

Question

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{"title":"Magnetic field inside a long, straight solenoid","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,8,40,56\"}]"} {"title":"Number of windings per meter","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"150,22,184,55\"}]"} {"title":"Current in the solenoid windings","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"185,11,199,50\"}]"} {"title":"Permeability of free space","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"92,18,131,62\"}]"}

Review

If the solenoid has length \(\ell\), the quantity \(n\) in Equation 19-17 equals the total number of windings \(N\) divided by \(\ell\). We can then write the magnetic flux through the crosssectional area \(A\) of each winding of the solenoid as

\(\Phi_B = BA = (\mu_0 ni)A = \left(\frac{\mu_0Ni}{\ell}\right)A\)