# Question-   Unit 3: Engineering Science : LO4 Analyse applications of A.C./D.C. circuit theorems, electromagnetic principles and properties.

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LO4 Analyse applications of A.C./D.C. circuit theorems, electromagnetic principles and properties.

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Figure12 – Square waveform

Saw-toothed waveform

LO4 Analyse applications of A.C./D.C. circuit theorems, electromagnetic principles and properties Task 4.0 41 4.11 For the network shown in Fig 2.0, determine Th’evenin’s equivalent circuit and the current flowing in the 4 @ resistor. Assume that the battery has negligible internal resistance. 4.12. Use the superposition theorem to find currents I;, Iz and Iz of Fig 3.0 h Te 100 60 esv 3 Ia in osn |]2n Fig 2.0 Fig 3.0 4.2. Construct a graph of the spectrum for each waveform in Fig 4.0 A=10V.

ae 43 < wo Fig 5.0 4.31 A coil of inductance 74 mH and resistance 28 ohms in series with a SOuF capacitor is connected to a 250 V,50 Hz supply. Calculate : i, The current flowing _ ii The voltage across L and C. Sketch the phasor diagram

A Sai of resistance 25 Q and inductance 100 mH is connected series with 0.12 uf capacitor across a 120 V,variable frequency supply. If R is small compare with XL as in radio circuits, Determine : © the resonant frequency © the Q - factor at resonance 44 4.41 Explain the operation of a transformer using the principles of electromagnetic induction.

4.42 A 300 KVA transformer has a primary winding resistance of 0.4 @ and a secondary winding resistance of 0.0015 Q. The iron loss is 2 kW and the primary and secondary voltages are 4 kV and 200 V respectively. If the power factor of the load is 0.78, determine the efficiency of the transformer on full load

45 4.51 Refer to the circuit shown in Fig 6.0 Fig 6.0 R = 60 ohms, L = 318.4 mH, C= 15 uF, V= 200V, 50 Hz. Calculate : The current in the coil The current in the capacitor The supply voltage and its phase angle The circuit impedance Sketch the phasor diagram 4.52. Validate the results using simulation packages.

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