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Question
Aclosely wound solenoid 80 cm long has 5 layers of windings of 400turns each. The diameter of the solenoid is 1.8 cm. If the currentcarried is 8.0 A, estimate the magnitude of Binside the solenoid nearits centre.
Aclosely wound solenoid 80 cm long has 5 layers of windings of 400turns each. The diameter of the solenoid is 1.8 cm. If the currentcarried is 8.0 A, estimate the magnitude of Binside the solenoid nearits centre.
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Solution
Length of the solenoid,l = 80 cm = 0.8 m
There are five layersof windings of 400 turns each on the solenoid.
Totalnumber of turns on the solenoid, N = 5 × 400 = 2000
Diameter of thesolenoid, D = 1.8 cm = 0.018 m
Current carried by thesolenoid, I = 8.0 A
Magnitude of themagnetic field inside the solenoid near its centre is given by therelation,
Where,
= Permeability of free space = 4π× 10−7 T m A−1
Hence, the magnitude ofthe magnetic field inside the solenoid near its centre is 2.512 ×10−2 T.
Length of the solenoid,l = 80 cm = 0.8 m
There are five layersof windings of 400 turns each on the solenoid.
Totalnumber of turns on the solenoid, N = 5 × 400 = 2000
Diameter of thesolenoid, D = 1.8 cm = 0.018 m
Current carried by thesolenoid, I = 8.0 A
Magnitude of themagnetic field inside the solenoid near its centre is given by therelation,
Where,
= Permeability of free space = 4π× 10−7 T m A−1
Hence, the magnitude ofthe magnetic field inside the solenoid near its centre is 2.512 ×10−2 T.
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