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The magnetic field at a point inside the solenoid of infinite length is given by B=___________. (here ′n′′𝑛′ is the number of turns per unit length)

Question

The magnetic field at a point inside the solenoid of infinite length is given by B=___________.

(here ′n′ is the number of turns per unit length)

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Solution

The magnetic field B B inside a long solenoid can be expressed using the formula:

B=μ0nI B = \mu_0 n I

Explanation of the Formula:

  1. Magnetic Constant (μ0\mu_0): This is the permeability of free space, which is a constant value approximately equal to 4π×107T m/A 4\pi \times 10^{-7} \, \text{T m/A} .

  2. Turns per Unit Length (nn): This is the number of turns (loops of wire) per unit length of the solenoid.

  3. Current (II): This refers to the electric current flowing through the solenoid.

Summary:

Therefore, to fill in the blank for the magnetic field at a point inside the solenoid of infinite length, we can conclude:

B=μ0nI B = \mu_0 n I

This formula indicates that the magnetic field inside an ideal solenoid is uniform and directly proportional to the current and the number of turns per unit length.

This problem has been solved

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