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.

Explanation

To solve the problem step by step, we will calculate the magnetic flux density (B) at three different locations: near the center of the solenoid, near the ends of the solenoid, and outside the solenoid.

### Given Data:
- Length of the solenoid (L) = 50 cm = 0.5 m
- Number of layers of windings = 4
- Number of turns per layer = 350
- Radius of the lowest layer (R) = 1.4 cm = 0.014 m
- Current (I) = 6 A
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