A straight conductor of length 32 cm carries a current of 30 A. Magnetic induction at a point in air at a perpendicular distance of 12 cm from the mid-point of the conductor is

Question

A straight conductor of length 32 cm carries a current of 30 A. Magnetic induction at a point in air at a perpendicular distance of 12 cm from the mid-point of the conductor is (A) 0.2 G (B) 0.3 G (C) 0.4 G (D) 0.5 G

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9388bf6a21abeba70a6448f96d799855-.png" /> β=(μ0 I/4 π r)( sin θ1+ sin θ2) =(10-7 × 30/12 × 10-2)(2 × (16/20)) =4 × 10-5 T =0.4 × 10-4 T =0.4 G

Q. A straight conductor of length $32 c m$ carries a current of $30 A$ . Magnetic induction at a point in air at a perpendicular distance of $12 c m$ from the mid-point of the conductor is

0.2 G

0.3 G

0.4 G

0.5 G

$β = \frac{μ _{0} I}{4 π r} (sin θ_{1} + sin θ_{2})$
$= \frac{1 0 ^{- 7} \times 30}{12 \times 1 0 ^{- 2}} (2 \times \frac{16}{20})$
$= 4 \times 1 0^{- 5} T$
$= 0.4 \times 1 0^{- 4} T$
$= 0.4 G$

Q. A straight conductor of length 32cm carries a current of 30A. Magnetic induction at a point in air at a perpendicular distance of 12cm from the mid-point of the conductor is