A solenoid with an air core has length 48 π cm, area of cross section 12 cm 2 and 1200 turns. Self inductance of the solenoid is :-

Question

A solenoid with an air core has length 48 π cm, area of cross section 12 cm 2 and 1200 turns. Self inductance of the solenoid is :- (A) 4.6 mH (B) 6.9 mH (C) 1.44 mH (D) 9.2 mH

Tardigrade Admin · Accepted Answer

L =(μ0 N 2 A /ℓ) =(4 π × 10-7 ×(1200)2 ×(12 × 10-4)/48 π × 10-2) =1.44 mH

Q. A solenoid with an air core has length $48 π c m$ , area of cross section $12 c m^{2}$ and $1200$ turns. Self inductance of the solenoid is :-

4.6 mH

6.9 mH

1.44 mH

9.2 mH

$L = \frac{μ _{0} N ^{2} A}{ℓ}$
$= \frac{4 π \times 1 0 ^{- 7} \times ( 1200 ) ^{2} \times ( 12 \times 1 0 ^{- 4} )}{48 π \times 1 0 ^{- 2}}$
$= 1.44 m H$

Q. A solenoid with an air core has length 48πcm, area of cross section 12cm2 and 1200 turns. Self inductance of the solenoid is :-