A long straight wire of radius ' a ' carries a steady current I. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic field \overrightarrow{B}_1 at \frac{a}{2} and \overrightarrow{B}

CBSE Class 12 Physics 2023 Outside Delhi Set 1 Paper

Question : 6

Total: 35

A long straight wire of radius ' a ' carries a steady current I. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic field

→

1 at ‌

and

→

2 at distance 2a is

‌
1
2
1
2
4

Solution: 👈: Video Solution

Magnetic field inside
B1=‌

µ0ir

2πa2

=‌

µ0i(a∕2)

2πa2

=‌

µ0i

4πa

(Here, r=a∕2 )
Magnetic field outside =B2=‌

µ0i

2πr

=‌

µ0i

2π(2a)

=‌

µ0i

4πa

(Here, r=2a )
So, The required ratio ‌

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