An air core solenoid has 1000 turns and is one meter long. Its cross - sectional area is 10 cm 2. Its self inductance is:

Question

An air core solenoid has 1000 turns and is one meter long. Its cross - sectional area is 10 cm 2. Its self inductance is: (A) 0.1256 mH (B) 12.56 mH (C) 1.256 mH (D) 125.6 mH

Tardigrade Admin · Accepted Answer

L=(μ0 N2 A/l) L=(4 π × 10-7(103)2 × 10-3/1) L =(4 × 3.14 × 10-7 × 106 × 10-3/1) L =1.256 × 10-3 ⇒ 1.256 mH

Q. An air core solenoid has $1000$ turns and is one meter long. Its cross - sectional area is $10 c m^{2}$ . Its self inductance is:

$0.1256 m H$

$12.56 m H$

$1.256 m H$

$125.6 m H$

$L = \frac{μ _{0} N ^{2} A}{l}$
$L = \frac{4 π \times 1 0 ^{- 7} ( 1 0 ^{3} ) ^{2} \times 1 0 ^{- 3}}{1}$
$L = \frac{4 \times 3.14 \times 1 0 ^{- 7} \times 1 0 ^{6} \times 1 0 ^{- 3}}{1}$
$L = 1.256 \times 1 0^{- 3}$
$\Rightarrow 1.256 m H$

Q. An air core solenoid has 1000 turns and is one meter long. Its cross - sectional area is 10cm2. Its self inductance is:

0.1256mH

12.56mH

1.256mH

125.6mH