Torque on a Current-loop: Moving-Coil Galvanometer — Formula Sheet
ICSE · Class 12 · Physics
19 formulas from Torque on a Current-loop: Moving-Coil Galvanometer (ICSE Class 12 Physics) on one page, grouped by topic.
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Formulas and Key Relations
1. Torque on a Current Loop
F = I l × B
F1 = F2 = IBl
τ = IAB sinθ
τ = NIAB sinθ
τ = mB sinθ = m × B
2. Moving-Coil Galvanometer
NIAB sinθ = cφ
I = cφ/(NAB sinθ)
NIAB = cφ
I = (c/NAB)φ = Kφ
I ∝ φ
3. Galvanometer Sensitivity and Figure of Merit
φ/I = NAB/c
φ/V = NAB/(cR)
Figure of merit = I/φ
Unit of figure of merit = ampere/radian
4. Ammeter Conversion
I_g × G = (I - I_g) × S
S = (I_g/(I - I_g))G
1/R_A = 1/G + 1/S
R_A = GS/(G + S)
Key relations
Torque is maximum when the plane of the coil is parallel to the magnetic field, so θ = 90° and τ_max = NIAB.
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