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A long solenoid has n turns per metre and current I ampere is flowing through it. The magnetic field at the ends of solenoid is
  • a)
    μ₀ n I/2
  • b)
    μ₀ n I
  • c)
    zero
  • d)
    2 μ₀ n I
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A long solenoid has n turns per metre and current I ampere is flowing ...
Zero
b) non-zero, but cannot be determined
c) depends on the length and radius of the solenoid
d) depends only on the number of turns and current flowing through the solenoid

The correct option is d) depends only on the number of turns and current flowing through the solenoid.

The magnetic field inside a long solenoid is given by:

B = μ0 n I

where μ0 is the permeability of free space, n is the number of turns per unit length, and I is the current flowing through the solenoid.

Since the solenoid is long, the magnetic field at the ends is approximately equal to the magnetic field at the center of the solenoid. Therefore, the magnetic field at the ends of the solenoid is given by the same equation as above:

B = μ0 n I

So, the magnetic field at the ends of the solenoid depends only on the number of turns and current flowing through the solenoid, and is independent of the length and radius of the solenoid.
Free Test
Community Answer
A long solenoid has n turns per metre and current I ampere is flowing ...
Option A is correct
Reason :Field at ends is half of the field inside(center) of the solenoid
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