AP EAMCET · PHYSICS · Magnetic Effects of Current
A solenoid of one meter length and 3.55 cm inner diameter carries a current of 5 A. If the solenoid consists of five closely packed layers each with 700 turns along its length, then the magnetic field at its centre is
- A 22 mT
- B 35 mT
- C 44 mT
- D 15 mT
Answer & Solution
Correct Answer
(A) 22 mT
Step-by-step Solution
Detailed explanation
\(n = \frac{5 \times 700}{1 \text{ m}} = 3500 \text{ turns/m}\) \(B = \mu_0 n I\) \(B = (4\pi \times 10^{-7} \text{ T}\cdot\text{m/A}) \times (3500 \text{ turns/m}) \times (5 \text{ A})\) \(B = 0.02199 \text{ T} \approx 22 \text{ mT}\)
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