A closely 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 B inside the solenoid near its centre.
Given: Length of the solenoid is 80 cm , layer on the winding is 5 , turn on each winding is 400 , diameter of the solenoid is 1.8 cm , and the current carried by the solenoid is 8 A .
Magnetic field ( B ) inside the solenoid near its centre is given as,
B = μ 0 N I l
where, the permeability of free space is μ 0 ,total number of turns is N , current carried by solenoid is I , and length of the solenoid is l .
By substituting the given values in the above equation, we get,
B = 4 π × 10 − 7 × 5 × 400 × 8 80 cm × ( 1 m 100 cm ) = 2.512 × 10 − 2 T
Therefore, the magnetic field inside the solenoid near its centre is 2.512 × 10 − 2 T .
Given: Length of the solenoid is
Magnetic field
where, the permeability of free space is
By substituting the given values in the above equation, we get,
Therefore, the magnetic field inside the solenoid near its centre is
