Question

Question :

Write down the factors which affect the strength of magnetic field in a current carrying loop. Explain mathematically too.​

Answer 1

Explanation:

Factors are:

• Amount of current passing through it.
• If we move away from centre the magnetic lines are becoming straight and loses its magnetic strength.

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Answer 2

$\huge\underline\mathrm\red{Answer-}$

Factors affecting the strength of magnetic field in a current carrying loop are :

★ Amount of current : Strength of magnetic field is directly proportional to the amount of current.

$\implies$ B $\propto$ I

★ Distance from loop : Strength of magnetic field is inversely proportional to tje distance from the loop.

$\implies$ B $\propto$ $\dfrac{1}{S}$

★ Number of turns in loop : The strength of magnetic field is directly proportional to the number of turns. So if a coil is having n turns, then the field produced is n times as large as that produced by a single turn. This is because the current in each turn has some direction, and the field due to each turn then just adds up.

In other sense,

Magnetic field of loop having n turns = n × magnetic field produced by single turn

$\implies$ $\blue{\boxed{\sf{B_{total}\:=\:n\:\times\:B_{Single\:turn}}}}$