Answer to Question #280758 in Electrical Engineering for faisal

Question #280758

Inductance of moving iron instrument is given by L=(12+6ø-ø2)µH Where ø is the Deflection in radians from zero position. The spring constant is 12*10-6 Nm/Rad. calculate the Deflection for current of 8 amp.


1
Expert's answer
2021-12-21T02:04:06-0500

For the given current, the deflection is


"\\theta=\\frac12 \\frac{I^2}{k}\\frac{\\text dL}{\\text d\\theta},\\\\\\space\\\\\n\\theta=\\frac12 \\frac{I^2}{k}\\frac{\\text d(12+6\\theta-\\theta^2)}{\\text d\\theta},\\\\\\space\\\\\n\\theta=\\frac12 \\frac{I^2}{k}(6-2\\theta),\\\\\\space\\\\\n\\theta=3\\text{ rad}."


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