A solenoid of 1000 turns per metre has a core with relative permeability 500 . Insulated windings of the solenoid carry an electric current of 5 A. The magnetic flux density produced by the solenoid is: (permeability of free space .=4 π × 10-7 H / m )

Question

A solenoid of 1000 turns per metre has a core with relative permeability 500 . Insulated windings of the solenoid carry an electric current of 5 A. The magnetic flux density produced by the solenoid is: (permeability of free space .=4 π × 10-7 H / m ) (A) π T (B) 2 × 10-3 π T (C) (π/5) T (D) 10-4 π T

Tardigrade Admin · Accepted Answer

B =μ nI =μ0 μ r nI B =4 π × 10-7 × 500 × 1000 × 5 B =π Tesla

Q. A solenoid of $1000$ turns per metre has a core with relative permeability $500.$ Insulated windings of the solenoid carry an electric current of $5 A$ . The magnetic flux density produced by the solenoid is: (permeability of free space $= 4 π \times 1 0^{- 7} H / m)$

$π T$

$2 \times 1 0^{- 3} π T$

$\frac{π}{5} T$

$1 0^{- 4} π T$

$B = μ n I = μ_{0} μ_{r} n I$
$B = 4 π \times 1 0^{- 7} \times 500 \times 1000 \times 5$
$B = π$ Tesla

Q. A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry an electric current of 5A. The magnetic flux density produced by the solenoid is: (permeability of free space =4π×10−7H/m)

πT

2×10−3πT

5π​T

10−4πT