Question

two wires A andB are of lengths 40cm and 30cm. A is bent into a circle of radius r and b into an arc of radius r. A current i1 is passed through A and i2 through B. to have the same magnetic induction at the centre the radio of i1andi2 is​

Answer 1

Answer:

For wire A length =40cm it is bent into a circle,

So, 2πr=40=r=

2π

40

Magnetic induction at centre =

2r

μ

0

i

1

For wire B length =30cm it is bent into an arc,

So, θr=30

Magnetic induction at centre due to circular arc =

4πr

μ

0

i

2

θ

Since,

2r

μ

0

i

1

=

4πr

μ

0

i

2

θ

⇒

i

2

i

1

=

2π

θ

=

2π×40

30×2π

⇒

i

2

i

1

=

4

3