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Centre for Engineering and Industrial Design MG7011- Electrical Machine Dynamics - Test 1

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Question textA coil having 90 turns is connected to a 120V. 60Hz source. If the effective value of magnetising current is 4A. [Do not put the units in the box and make sure you follow the correct decimal places] Calculate: The peak value of flux: Answer 1 Question 2[input] The peak value of mmf: Answer 2 Question 2[input] The inductive reactance of coil:Answer 3 Question 2[input] The inductance of coil:Answer 4 Question 2[input]

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We begin by restating the given data and the quantities to be found for the coil: - N = 90 turns - V = 120 V (rms), f = 60 Hz - Magnetising current (rms) I_m = 4 A - We need: (1) peak flux φ_peak, (2) peak MMF, (3) inductive reactance X_L, (4) inductance L. Option 1: 0.005 (peak value of flux) - To get the peak flux, use the relation between peak voltage and flux in a single-turn coil: V_peak = N ω φ_peak, where V_peak = V_rms * √2 and ω = 2πf. - Compute V_peak = 120√2 ≈ 169.7 V, ω = 2π(60) ≈ 377 rad/s. - Solve for φ_peak: φ_peak = V_peak / (N ω) = 169.7 / (90 × 377) ≈ 169.7 / 33930 ≈ 0.0050 Wb. - This matches the value 0.005, so this option corresponds to the correct order o......Login to view full explanation

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