A solenoid of length 50 cm, having 100 turns carries a current of 2.5 A. The magnetic field at one end of the solenoid is

Question

A solenoid of length 50 cm, having 100 turns carries a current of 2.5 A. The magnetic field at one end of the solenoid is (A) 3.14 × 10-4 T (B) 6.28 × 10-4 T (C) 1.57 × 10-4 T (D) 9.42 × 10-4 T

Tardigrade Admin · Accepted Answer

Here, I=2.5 A, l=50 cm =0.50 m and n=(100/0.50)=200 m-1 ∴ B=(μ0nI/2)=(4π×10-7×200×2.5/2) =3.14 ×10-4 T

Q. A solenoid of length $50 c m$ , having $100$ turns carries a current of $2.5 A$ . The magnetic field at one end of the solenoid is

$3.14 \times 1 0^{- 4} T$

$6.28 \times 1 0^{- 4} T$

$1.57 \times 1 0^{- 4} T$

$9.42 \times 1 0^{- 4} T$

Here, $I = 2.5 A$ ,
$l = 50 c m$
$= 0.50 m$
and $n = \frac{100}{0.50} = 200 m^{- 1}$
$∴ B = \frac{μ _{0} n I}{2} = \frac{4 π \times 1 0 ^{- 7} \times 200 \times 2.5}{2}$
$= 3.14 \times 1 0^{- 4} T$

Q. A solenoid of length 50cm, having 100 turns carries a current of 2.5A. The magnetic field at one end of the solenoid is

3.14×10−4T

6.28×10−4T

1.57×10−4T

9.42×10−4T