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Grade 11Electromagnetic Induction

A short magnet produces a deflection of 37° in a deflection magnetometer in Tan-A position when placed at a separation of 10 cm from the needle. Find the ratio of the magnetic moment of the magnet to the earth’s horizontal magnetic field.

Profile image of Radhika Batra
12 Years agoGrade 11
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1 Answer

Profile image of Kevin Nash
12 Years ago
Sol. M/B base H (found in the previous problem) = 3.75 *10^3 A-m^2 T^-1 θ = 37°, d = ? M/B base H = 4π/μ base 0 (d^2 - ℓ^2)^3/2 tan θ ℓ << d neglecting ℓ w.r.t.d ⇒ M/B base H = 4π/μ base 0 d^3 Tanθ⇒ 3.75 * 10^3 = 1/10^-7 * d^3 * 0.75 ⇒ d^3 = 3.75 * 10^3 * 10^-7/0.75 = 5 * 10^-4 ⇒ d = 0.079 m = 7.9 cm