A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter Magnet Labaratory. Find the current needed to achieve such a field near the center of a solenoid with radius 2.60 cm, length 30.0 cm, and 40000 turns.

Holzkeulecz

Holzkeulecz

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2022-08-13

A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter Magnet Labaratory
Find the current needed to achieve such a field near the center of a solenoid with radius 2.60 cm, length 30.0 cm, and 40000 turns.

Answer & Explanation

Favatc6

Favatc6

Beginner2022-08-14Added 17 answers

Given
B=37.2 T
R=2.6 cm
l=30 cm
N=40000 turns
B = μ 0 n I
37.2 = 4 π × 10 7 × N l I 37.2 = 4 × 3.14 × 10 7 × 40000 30 × 10 2 × I I = 37.2 × 30 × 10 2 4 × 3.14 × 10 7 × 40000 I = 1116 × 10 2 × 10 7 × 10 4 4 × 3.14 × 4 I = 1116 × 10 50.24 I = 222.1 A

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