A short solenoid with in turns per unit length has diameter D and length as shown in the figure, and it carries a constant current I. The magnetic field B at a point P on the axis of the solenoid at a distance from its near end (see figure) is

A short solenoid with in turns per unit length has diameter D and length L = 8D / 15 as shown in the figure, and it carries a constant current I. The

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Problem: A short solenoid with in turns per unit length has diameter D and length as shown in the figure, and it carries a constant current I. The magnetic field B at a point P on the axis of the solenoid at a distance from its near end (see figure) is [use integrate ]        [TIFR 2014]

✅(A)     (B)    (C)    (D)

Answer: 

The magnetic field at the point P due to the solenoid is given by 

Note: 👉Click to see the calculation of the 'Magnetic of a solenoid'.

From the figure we get,

or,

and

or,

Therefore the magnetic field at point P is 

or,

Option A is correct.

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