Practice question
Question
A circular loop of radius 0.13 m with 20 turns carries a current of 3.5 A . What is the magnetic field at the nter? ( μ_0 = 4 Ï€ × 10â»â· T m/A )
Explanation
Given:
A circular loop of radius 0.13 m with 20 turns carries a current of 3.5 A . What is the magnetic field at the nter? ( μ_0 = 4 Ï€ × 10â»â· T m/A )
These values define the system as per NCERT data.
Formula:
Magnetic field B = μ_0 N I/2 R.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
B = frac4 Ï€ × 10â»â· × 20 × 3.52 × 0.13 = frac28 Ï€ × 10â»â¶â°.26 = 1.0769 Ï€ × 10â»â´ approx 3.38 × 10â»â´ T .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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