In which type of frequency meter, the frequency is found when the torq...
Electrical Resonance Type Frequency Meter:
- The electrical resonance type frequency meter is an indicating type instrument.
- Its action depends upon the electrical resonance.
- Construction of Electrical Resonance Type Frequency Meter
- It mainly consists of a fixed coil and a moving coil. There is a laminated iron core of varying cross-sections.
- This varying laminated core holds the fixed coil at its one end. Then we connect this fixed coil across the supply mains.
fL is the lower frequency
fH is the higher frequency
fN is normal frequency
Working Principle of Electrical Resonance Type Frequency Meter:
- Due to the current in the moving coil, the moving coil produces a flux in phase with the current.
- This flux flows along with the extended core of the fixed coil. Therefore the flux links the moving coil.
- Hence, the flux induces an emf across the moving coil and this induced emf lags the flux by 90°.
- Since the moving coil will have some inductive reactance. Again, as it is connected across a capacitor, it will have some capacitive reactance also.
Torque Equation:
Let us consider I1 is the supply current of the fixed coil and I2 is the induced current of the moving coil.
We have the phase angle between the supply current I1 (current in the fixed coil) and the emf induced in the moving coil is 90°.
Again there is a phase difference between the induced emf and the induced current I2 (current in the moving coil).
Let us consider the angle of this phase difference is α.
So, the actual phase difference between I1 and I2 will be (90° - α).
Therefore, we can write the expression of the torque (T) as,
T = I1I2 cos (90° - α)
From the above expression of the torque, we can see that the torque will be zero when α is zero.
That means there must not be any phase difference between the induced current and the induced emf in the moving coil.