Could someone please just help me answer 2 parts of this? 1. How can I calculate

Question

Could someone please just help me answer 2 parts of this?
1. How can I calculate the theoretical magnetic field at the center of the Solenoid?
2. How does the signal amplitude vary with the number of bar magnets?

Any help would be greatly appreciated. Thank you!

PROCEDURE A: Number density of solenoid (turns/m): -3000 turns/m OR Voltage Current across the passing solenoid through the (Volts) solenoid (Amps) center of the Current(Gauss) Current(Tesla) the Solenoid Measur due to the Convert to heoretical at the center of (Tesla) Measured Measured Magnetic Magnetic fieldMagnetic field Magnetic field field at the due to the Solenoid Gauss) 0 0 50 23 3 4,48 (s-003448T V 4.O0A 179 4.58 6 010638T 8 6 Slope (experimental) Slope (theoretical) % difference

Explanation / Answer

Procedure A

we know that the magnetic field inside the solenoid is along the axis and whose strength depends on these factors

B directly proportional to the number of turns in the solenoid  

B directly proportional to the current passing through the solenoid  

B = mue0*n*I

her n is number of turns per unit lenght  

given n = 3000 turns /m

as the current is changing the magnetic field strenght also changes

for example  

B1 = 4pi*10^-7 *3000 *0.5 T = 0.0018849555922 T

for i2 = 0.69 A

B2 = 4pi*10^-7 *3000 *0.69 T = 0.0026012387172 T

like wise we can calculate the theoritical magnetic field

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Procedure A

as the number of magnets are increasing the fiels strength also increases implies the the amplitude of the signal is sum of the individual amplitudes

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