Practice question
Question
A solenoid produces B = 0.75 T with a core of μ_r = 500 and n = 1000 m^{-1 . What is the current I ? (Take μ_0 = 4Ï€ × 10â»â· T m A^{-1 ).
Explanation
Given:
A solenoid produces B = 0.75 T with a core of μ_r = 500 and n = 1000 m^{-1 . What is the current I ? (Take μ_0 = 4Ï€ × 10â»â· T m A^{-1 ).
These values define the system as per NCERT data.
Formula:
B = μ_0 μ_r n I, so I = B/μ_0 μ_r n.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Given: B = 0.75 T, μ_r = 500, n = 1000 m^{-1, μ_0 = 4Ï€ × 10â»â·. I = frac0.754Ï€ × 10â»â· × 500 × 1000 = frac0.756.283 × 10â»Â¹ approx 1.194 A approx 1.2 A .
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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