A solenoid is 2 m long and 3 cm in diameter. It has 5 layers of winding of 1000 turns each and carries a current of 5 A. What is the magnetic field at its centre ? Use the standard value of μ0.

Question

A solenoid is 2 m long and 3 cm in diameter. It has 5 layers of winding of 1000 turns each and carries a current of 5 A. What is the magnetic field at its centre ? Use the standard value of μ0. (A) 1.57 × 10-4 T (B) 2.57 × 10-3 T (C) 1.57 × 10-2 T (D) 3.57 × 10-6 T

Tardigrade Admin · Accepted Answer

Length of solenoid, l=2 m Total number of turns, N =5 × 1000=5000 Number of turns per unit length, n =( N /l)=(5000/2)=2500 m -1 Current, I =5 A Now, B=μ0 nI =4 π × 10-7 × 2500 × 5 T =1.57 × 10-2 T

Q. A solenoid is $2 m$ long and $3 c m$ in diameter. It has 5 layers of winding of 1000 turns each and carries a current of $5 A$ . What is the magnetic field at its centre ? Use the standard value of $μ_{0}$ .

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

$2.57 \times 1 0^{- 3} T$

$1.57 \times 1 0^{- 2} T$

$3.57 \times 1 0^{- 6} T$

Length of solenoid, $l = 2 m$
Total number of turns, $N = 5 \times 1000 = 5000$
Number of turns per unit length,
$n = \frac{N}{l} = \frac{5000}{2} = 2500 m^{- 1}$
Current, $I = 5 A$
Now, $B = μ_{0} n I = 4 π \times 1 0^{- 7} \times 2500 \times 5 T$
$= 1.57 \times 1 0^{- 2} T$

Q. A solenoid is 2m long and 3cm in diameter. It has 5 layers of winding of 1000 turns each and carries a current of 5A. What is the magnetic field at its centre ? Use the standard value of μ0​.

1.57×10−4T

2.57×10−3T

1.57×10−2T

3.57×10−6T