A solenoid 1.5 m long and 0.4 cm in diameter possesses 10 turns per cm length. A current of 5 A flows through it. The magnetic field at the axis inside the solenoid is

Question

A solenoid 1.5 m long and 0.4 cm in diameter possesses 10 turns per cm length. A current of 5 A flows through it. The magnetic field at the axis inside the solenoid is (A) 2π ×10 -3T (B) 2π × 10 -5T (C) 4π × 10 -2T (D) 4π × 10 -3T

Tardigrade Admin · Accepted Answer

Magnetic field at the axis inside the solenoid B = μ0 ni Here, n = 10 tums/cm = 1000 turns/m, i = 5 A B = 4π ×10-7 ×1000 ×5 = 2π ×10 -3 T

Q. A solenoid $1.5 m$ long and $0.4 c m$ in diameter possesses $10$ turns per cm length. A current of $5 A$ flows through it. The magnetic field at the axis inside the solenoid is

$2 π \times 1 0^{- 3} T$

$2 π \times 1 0^{- 5} T$

$4 π \times 1 0^{- 2} T$

$4 π \times 1 0^{- 3} T$

Magnetic field at the axis inside the solenoid
$B = μ_{0} ni$
Here, $n = 10$ tums/cm = $1000$ turns/m, $i = 5 A$
$B = 4 π \times 1 0^{- 7} \times 1000 \times 5$
$= 2 π \times 1 0^{- 3} T$

Q. A solenoid 1.5m long and 0.4cm in diameter possesses 10 turns per cm length. A current of 5A flows through it. The magnetic field at the axis inside the solenoid is

2π×10−3T

2π×10−5T

4π×10−2T

4π×10−3T