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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QUES Conside magnet characte and fed (i) C (ii) C le (iii) C (iv) T se lo (v) U to fr in at an (N (vi) A am V ju TION 4 er a lossles ic dielectri eristic impe d by an ideal Calculate the Calculate the ength) Calculate the he generato eparate grap oad, in the ti Using the su o the chara requency ݂ nsert a perfe t the result. nd its dista Note: the stu After inserti mplitude 2 V, 10 ns pu ustify your a An s coaxial ca c. The velo edance is ܼ l voltage so e relative di e capacitanc e reflection or produces phs, the curr ime interval upplied Smi acteristic im ൌ 1 GHz. Y ect T-piece Once you nce d from ub is made o ing the stub V and dura ulse (delaye answer. nswer both able, as ind ocity of pr ൌ 50 Ω . T urce, i.e. a g electric con ce and the i coefficient a voltage p rent and vo l ݐ ൌ 0 െ 2 ith chart, de mpedance You may as to connect have obtain m the load. of the same b designed ation 10 ns. d by the pr 6 Part B h questions dicated in F ropagation i The cable i generator w Figure 4 nstant of the nductance o Γ at the ge ulse of amp ltage at the 00 ns. esign a sing of the cab ssume that y the stub. E ned the resu Quote l an e type of cab d at point ( Will the vo ropagation B s from this Figure 4, of in the cabl is terminate with output r 4 e dielectric, of the cable enerator and plitude 2 V generator, gle short-cir ble for a s you can cut Explain in w ult, describe nd d as phy ble as the on (v) above, oltage at th time along s part. length ݈ ൌ le is ݒ ൌ 2 ed by a resi resistance ܴ ߝ e (the total v d Γ at the lo and duratio and the cur rcuited stub steady-state the coaxial words each s e the stub in ysical length ne that conn apply agai e load cons g the cable) Please se [24 5 m, filled .5 ൈ 10 m istive load ܴ ൌ 0 Ω . values, over oad. n 10 ns. Dr rrent and vo that match sinusoidal cable at an step you tak n terms of i hs, in units nects to the in a voltag sist of an un )? Clearly e ee over for Q marks ] d by a non- m/s and the ൌ 10 Ω , [1mark] r the whole [3 marks] [2 marks] raw, in four oltage at the [8 marks] hes the load l signal of ny point and ke to arrive its length l , of metres.
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