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Question
A solenoid of length π m and 5 cm in diameter has a winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its centre along the radius.
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Solution
Given:
l = π m,
d = 5 cm,
N = 1000 turns,
i = 5 A
We know that,
μ0 = 4π × 10−7 Tm/A
To find: Magnetic field (B) = ?
Formulae:
- n = `N/l`
- B = μ0ni
Calculation:
From formula (i),
n = `1000/pi "turns"/"m"`
From formula (ii),
B = `4pi xx 10^-7 xx 1000/pi xx 5`
= `20 xx 10^{-7 + 3}`
= 2 × 10−3 T
The magnetic field is 2 × 10−3 T.
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