Torque Equation for PMMC

This post is a continuation of my previous post on Permanent magnet moving coil instruments . This post is written since a is request made by the face book user Shivany Sweet

Torque Equation for PMMC

The equation for the delevoped torque of the PMMC can be obtained from the basic law of electromagnetic torque. The deflecting torque is given by,

                                                   Td = NBAI

Td = deflecting torque in N-m
B = flux density in air gap, Wb/m2
N = Number of turns of the coils
A = effective area of coil m2
I = current in the moving coil, amperes

Therefore, Td = GI
Where, G = NBA = constant

The controlling torque is provided by the springs and is proportional to the angular deflection of the pointer.
                                               Tc = KØ

Tc = Controlling Torque
K = Spring Constant Nm/rad or Nm/deg
Ø = angular deflection
For the final steady state position,
                        Td = Tc
Therefore GI = KØ
So,                      Ø = (G/K)I          or            I = (K/G) Ø

Thus the deflection is directly proportional to the current passing through the coil. The pointer deflection can therefore be used to measure current.
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