Question

a current carrying wire of length one metre is folded in circular form how many circular turns would produce the maximum magnetic moment​

Answer 1

Number of turns for maximum magnetic moment = 1

Explanation:

Given: A current carrying wire of length one metre is folded in circular form.

Find: How many circular turns would produce the maximum magnetic moment​.

Solution:  

Magnetic moment = iNA

Length of wire = 1 m

Area of circle = πr2

Number of turns = l/2πr

Magnetic moment = iNA = i (l/2πr) πr2 = ilr/2.

So r is taken as maximum by keeping N = 1.

Number of turns for maximum magnetic moment = 1

Answer 2

Explanation:

Given a current carrying wire of length one metre is folded in circular form how many circular turns would produce the maximum magnetic moment  

• Now there is a wire in which current is flowing.
• We need to find the number of circular turns would produce the maximum magnetic moment.
• Let both ends of a wire be p and q. If we fold into a circular shape, ends p and q comes together and let the radius be r
• So this magnetic moment will be equal to μ = n I A where n is the number of turns
• So length L = 2 π r n
• Therefore n = L / 2πR
• Now μ is directly proportional to number of turns n
• So μ α n
• So μ α r^2
• As the magnetic moment increases area decreases.
• So if n = 1 and r = 1
• If n = 2, r = 1/2  
• So as the magnetic moment increases area starts decreasing.
• Therefore the maximum magnetic moment is when n = 1, and so area decreases.

Reference link will be

https://brainly.in/question/2318950