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Magnetic field inside a solenoid

A closely wound solenoid 80 {~cm} long has 5 layers of winding

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A closely wound solenoid $80 cm$ long has 5 layers of windings of 400 turns each. The diameter of the solenoid is $1.8 cm$ . If the current carried is $8.0 A$ , estimate the magnitude of $B$ inside the solenoid near its centre.

1.5 \times 1 0^{- 2} T

, opposite to the axis of solenoid

2.5 \times 1 0^{- 2} T

, along the axis of solenoid

3.5 \times 1 0^{- 2} T

, along the axis of solenoid

1.5 \times 1 0^{- 2} T

, opposite to the axis of solenoid

Views: 6,193 students

Updated on: Aug 11, 2023

Book:

Master Resource Book in JEE Main Physics (Arihant)

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Owen Discussed

A closely wound solenoid

80 cm

long has 5 layers of windings of 400 turns each. The diameter of the solenoid is

1.8 cm

. If the current carried is

8.0 A

, estimate the magnitude of

B

inside the solenoid near its centre.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

The length of solenoid,

l = 80 cm

= 0.8 m

Number of layers

= 5

Number of turns per layer

= 400

Diameter of solenoid

= 1.8 cm

Current in solenoid

I = 8 A

∴

The total number of turns

N = 400 \times 5 = 2000

and number of turns/length,

n = \frac{2000}{0.8} = 2500

The magnitude of magnetic field inside the solenoid

B = μ_{0} n I = 4 \times 3.14 \times 1 0^{- 7} \times 2500 \times 8 = 2.5 \times 1 0^{- 2} T

The direction of magnetic field is along the axis of solenoid.
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Question Text	A closely wound solenoid $80 cm$ long has 5 layers of windings of 400 turns each. The diameter of the solenoid is $1.8 cm$ . If the current carried is $8.0 A$ , estimate the magnitude of $B$ inside the solenoid near its centre.
Updated On	Aug 11, 2023
Topic	Moving Charges and Magnetism
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 4
Upvotes	555
Avg. Video Duration	7 min

A closely wound solenoid $80 cm$ long has 5 layers of windings of 400 turns each. The diameter of the solenoid is $1.8 cm$ . If the current carried is $8.0 A$ , estimate the magnitude of $B$ inside the solenoid near its centre.

Text solutionVerified

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A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8 cm. If the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near its centre.

Text solutionVerified

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A closely wound solenoid $80 cm$ long has 5 layers of windings of 400 turns each. The diameter of the solenoid is $1.8 cm$ . If the current carried is $8.0 A$ , estimate the magnitude of $B$ inside the solenoid near its centre.