1. A permanent magnet moving coil instrument has a coil of dimensions 15mm x 12 mm. The flux density in the air gap is 1.8 x 10^3 Wb/m^2 and the spring constant is 0.14 x 10^-6 Nm/rad. Determine the number of turns required to produce an angular deflection of 90 degrees when a current of 5mA is flowing through the coil.
2. The control spring of an instrument has the following dimensions:
Length of strip =370 mm , thickness of strip =0.073 mm, width of strip= 0.51mm
The young modulus is 112.8 GN/m^2. Estimate the torque exerted by spring when it is turned through 90º.
3. The coil of a moving coil voltmeter is 40mm long and 30mm wide and has 100 turns on it. The control spring exerts a torque of 240 x 10^-6 N-m when the deflection is 100 divisions on full scale. If the flux density of the magnetic field in the air gap is 1.0 wb/m^2, estimate the resistance that must be put in series with the coil to give one volt per division. The resistance of the voltmeter coil may be neglected.