1.

A solenoid `50cm` long has 4 layers of windings of `350` turns each. The radius of the lowest layer is `1*4cm`. If the current carried is `6*0A`, estimate the magnitude of magnetic flux density (i) near the centre of the solenoid on its axis, (ii) near the ends on its axis, (iii) outside the solenoid near its centre.

Answer» Here, `l=50cm=0.50m, r=1.4cm=1.4xx10^-2m, I=6.0A`,
No. of turns per unit length, `n=(4xx350)/(0.50)=2800m^-1`
(i) The magnitude of `vecB` near the centre of solenoid on the axis is
`B=mu_0n I=4pixx10^-7xx2800xx6.0=2.11xx10^-2T`
(ii) The magnitude of `vecB` near the end of solenoid on the axis is
`B=(mu_0nI)/(2)=(2.11xx10^-2)/(2)=1.05xx10^-2T`
(iii) Outside the solenoid, the magnetic field is negligibly small as compared to that inside the solenoid.


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