2016 Final Exam Paper (2).pdf

# Figure 3 i determine the rms value of 50hz sinusoidal

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Figure 3 (i) Determine the RMS value of 50Hz sinusoidal input voltage that must be applied to the coil so that the maximum B field in the core of the ring specimen becomes 1T. [4 marks] (ii) With this input voltage applied, the power input to the coil is found to be 12W. Where is this power absorbed and in what form? [3 marks] (iii) The applied voltage to the coil is then changed to half of the value found in (i) and its input frequency is also halved (i.e., to 25Hz) in order to keep the maximum B field at the same value of (i). The power input to the coil is now found to be 5.5W. Neglecting any copper loss, find the hysteresis and eddy-current loss coefficients K h and K e . Note that the hysteresis and eddy current losses in a magnetic material with sinusoidal B field are given by n h m K fB and 2 2 e m K f B , respectively. [4 marks] (iv) Find the hysteresis and eddy-current losses of the iron specimen at the voltage and frequency of (i). [3 marks] Please see over for Question 4.

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