Practical Electrical Testing in Physics And Electrical Engineering: Being a ...

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Practical Electrical Testing in Physics And Electrical Engineering: Being a ...
George Dudley Aspinall Parr
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the total work done against H = Hw(AC + DB) But AC = DB = OA - OC = /- /cos 0" = /(i - cos 0") :, total work done = Hw(AC 4- DB) = H;//2/(i - cos ^°) = HM(i - cos 0) where M = 2lm, the magnetic moment of the needle.
Again, if any body or mass is rotating round a fixed axis, the sum of all the products obtained by multiplying the mass of each particle m in the body by the square of its radius r from that axis, is termed the moment of ina'tia I about the axis, or I = ^mr^.
If, now, G = the galvan
...ometer constant, which depends on the form of its coils, etc., then the moment of the force on the needle produced by the current A is = MGA ; and if the current flows for a short time ///, then moment of force = MGA^/ = VlOdg where dq = the small quantity which flows in the time dt; hence the total impulse on the needle = MGQ where Q = the whole quantity that passed in the discharge.
But this impulse is equal to the moment of momentum Iw of the needle, where w = the angular velocity of needle ; /.


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