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magnetic induction (Form)

# magnetic induction (Form) - Physics 211L Measurement of...

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Unformatted text preview: Physics 211L Measurement of Magnetic Induction Fields Names: Salim Makhoul & Sarah Karam Part A: Solenoid : (a) Measurement of B as a function of position (I= 5A ): Length of solenoid = 16.000 005 . ± cm Outer diameter of solenoid = 5.64 05 . ± cm Outer diameter of spool = 4.5 ± 0.1 cm Average diameter of solenoid = 1 . 1 . 5 2 / ) 5 . 4 64 . 5 ( ± = + cm cm R 1 . 6 . 2 ± = ⇒ D (cm) * B (mT) D (cm) * B (mT)-4.0 0.25 11 18.6-3.0 0.67 12 18.27-2.0 1.55 13 17.65-1.0 3.18 14 16.46 0.0 6.37 15 14.27 1.0 10.87 16 11.00 2.0 14.12 17 7.02 3.0 16.42 18 3.54 4.0 17.58 19 1.82 5.0 18.2 20 0.76 6.0 18.56 7.0 18.78 8.0 18.86 9.0 18.91 10.0 18.81 * D represents the pointer reading in cm B (mT) Plot B versus D and determine the position of the center of the solenoid. Comment. We draw a line parallel to the y-axis at the maximum point to determine the abscissa of the maximum point, which itself is the position of the center of the solenoid. There is maximum magnetic field at the center of the solenoid, because as we at the center of the solenoid, the magnetic field of the whole solenoid meets (not coincides) there. The magnetic fields of the whole solenoid from the tips towards the center are met at the center. This phenomena is true because the magnetic field is in the form of the a loop that doesn't meet, and from every point of the solenoid emerges a magnetic field, which pass through or beside that center, that what makes it have a strong magnetic field at the center. Moreover from equations (1) and (2), B NIR R x = + μ 2 2 2 3 2 2( ) / , ] cos [cos 2 2 1 Θ- Θ = L NI B μ ; we can see that B is maximum in equation (1) when x = 0. Although equation (1) is for coils, but equation (2) is a derivation of equation (1), and thus in this manner it is shown clearly in what condition is the maximal at B attained....
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magnetic induction (Form) - Physics 211L Measurement of...

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