A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is [2022]

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Q.
A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is [2022]

1 $6.28 \times 10^{- 2}$ T

2 $12.56 \times 10^{- 2}$ T

3 $12.56 \times 10^{- 4}$ T

4 $6.28 \times 10^{- 4}$ T

Ans.
(2)

Here, number of turns in the solenoid,

$n = 100/1$ $mm = 100 \times 10^{3} / m$

Current in the solenoid, $I = 1$ $A$

Magnetic field strength at the centre of the solenoid, $B = μ_{0} n I$

$= 4 π \times 10^{- 7} \times 10^{5} \times 1 = 12.56 \times 10^{- 2}$ $T$

Solution

Q.
A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is [2022]

1 $6.28 \times 10^{- 2}$ T

2 $12.56 \times 10^{- 2}$ T

3 $12.56 \times 10^{- 4}$ T

4 $6.28 \times 10^{- 4}$ T

Ans.
(2)

Here, number of turns in the solenoid,

$n = 100/1$ $mm = 100 \times 10^{3} / m$

Current in the solenoid, $I = 1$ $A$

Magnetic field strength at the centre of the solenoid, $B = μ_{0} n I$

$= 4 π \times 10^{- 7} \times 10^{5} \times 1 = 12.56 \times 10^{- 2}$ $T$

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Solution

Q. A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is [2022]

1 6.28×10-2T

2 12.56×10-2T

3 12.56×10-4T

4 6.28×10-4T

Ans. (2) Here, number of turns in the solenoid, n=100/1 mm=100×103/m Current in the solenoid, I=1 A Magnetic field strength at the centre of the solenoid, B=μ0nI =4π×10-7×105×1=12.56×10-2T

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Q.
A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is [2022]

1 $6.28 \times 10^{- 2}$ T

2 $12.56 \times 10^{- 2}$ T

3 $12.56 \times 10^{- 4}$ T

4 $6.28 \times 10^{- 4}$ T

Ans.
(2)

Here, number of turns in the solenoid,

$n = 100/1$ $mm = 100 \times 10^{3} / m$

Current in the solenoid, $I = 1$ $A$

Magnetic field strength at the centre of the solenoid, $B = μ_{0} n I$

$= 4 π \times 10^{- 7} \times 10^{5} \times 1 = 12.56 \times 10^{- 2}$ $T$