The average radius of a toroid made out of a nonmagnetic material is 0.1 m and it has 500 turns. If it carries 0.5 A current, then the intensity of the magnetic field along its circular axis in Tesla will be

Question

The average radius of a toroid made out of a nonmagnetic material is 0.1 m and it has 500 turns. If it carries 0.5 A current, then the intensity of the magnetic field along its circular axis in Tesla will be (A) 2.5× 10- 4 (B) 5× 10- 3 (C) 5× 10- 2 (D) 2× 10- 3

Tardigrade Admin · Accepted Answer

N=500 R=0.5 A r=0.1 m for toroid B=(μ 0 N I/2 π r) B=(4 π × 1 0- 7 × 500 × 0.5/2 π × text0.1) B text =(500 × 5/1 07)=2.5× 10- 4 text Tesla

Q. The average radius of a toroid made out of a nonmagnetic material is $0.1 m$ and it has $500$ turns. If it carries $0.5 A$ current, then the intensity of the magnetic field along its circular axis in $T es l a$ will be

$2.5 \times 1 0^{- 4}$

$5 \times 1 0^{- 3}$

$5 \times 1 0^{- 2}$

$2 \times 1 0^{- 3}$

$N = 500$
$R = 0.5 A$
$r = 0.1 m$
for toroid
$B = \frac{μ _{0} N I}{2 π r}$
$B = \frac{4 π \times 1 0 ^{- 7} \times 500 \times 0.5}{2 π \times 0.1}$
$B = \frac{500 \times 5}{1 0 ^{7}} = 2.5 \times 1 0^{- 4} Tesla$

Q. The average radius of a toroid made out of a nonmagnetic material is 0.1m and it has 500 turns. If it carries 0.5A current, then the intensity of the magnetic field along its circular axis in Tesla will be

2.5×10−4

5×10−3

5×10−2

2×10−3