A solenoid of 2.5 metre length and 2.0 cm diameter possesses 10 turns per cm. A current of 0.5 ampere is flowing through it. The magnetic induction at axis inside the solenoid is :

Question

A solenoid of 2.5 metre length and 2.0 cm diameter possesses 10 turns per cm. A current of 0.5 ampere is flowing through it. The magnetic induction at axis inside the solenoid is : (A) 2π×10-4 tesla (B) 2π×10-5 tesla (C) 2π×10-6 tesla (D) 2π×10-7 tesla

Tardigrade Admin · Accepted Answer

B = μ0 nl, where n = number of turns per unit length, I = current, μ0 = 4 π × 10-7 TA-1m . Here n =10 cm-1 = 1000m-1, I = 0.5 A, Hence B = 4 π × 10-7 × 1000 × 0.5 = 2 π × 10-4 T.

Q. A solenoid of 2.5 metre length and 2.0 cm diameter possesses 10 turns per cm. A current of 0.5 ampere is flowing through it. The magnetic induction at axis inside the solenoid is :

$2 π \times 1 0^{- 4} t es l a$

$2 π \times 1 0^{- 5} t es l a$

$2 π \times 1 0^{- 6} t es l a$

$2 π \times 1 0^{- 7} t es l a$

$B = μ_{0} n l$ , where n = number of turns per unit length,
I = current, $μ_{0} = 4 π \times 1 0^{- 7} T A^{- 1}$ m .
Here $n = 10 c m^{- 1} = 1000 m^{- 1}, I$ = 0.5 A,
Hence $B = 4 π \times 1 0^{- 7} \times 1000 \times 0.5$
= $2 π \times 1 0^{- 4}$ T.

Q. A solenoid of 2.5 metre length and 2.0 cm diameter possesses 10 turns per cm. A current of 0.5 ampere is flowing through it. The magnetic induction at axis inside the solenoid is :

2π×10−4tesla

2π×10−5tesla

2π×10−6tesla

2π×10−7tesla

B=μ0​nl, where n = number of turns per unit length, I = current, μ0​=4π×10−7TA−1m . Here n=10cm−1=1000m−1,I = 0.5 A, Hence B=4π×10−7×1000×0.5 = 2π×10−4 T.

$2 π \times 1 0^{- 4} t es l a$

$2 π \times 1 0^{- 5} t es l a$

$2 π \times 1 0^{- 6} t es l a$

$2 π \times 1 0^{- 7} t es l a$

$B = μ_{0} n l$ , where n = number of turns per unit length,
I = current, $μ_{0} = 4 π \times 1 0^{- 7} T A^{- 1}$ m .
Here $n = 10 c m^{- 1} = 1000 m^{- 1}, I$ = 0.5 A,
Hence $B = 4 π \times 1 0^{- 7} \times 1000 \times 0.5$
= $2 π \times 1 0^{- 4}$ T.