Given the governing equations for the coupled RL (Resistance/ Inductance) circuits with the applied voltage (Figure...

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Given the governing equations for the coupled RL (Resistance/ Inductance) circuits with the applied voltage (Figure 1): di, 4 + R;(, - ) + R, (4,) = v(t) diz L+ R2(lz -4) = 0 Assuming the zero initial conditions where i, (0) = t,(0) = 0. (a) Express the applied voltage in piecewise function and unit step function separately. (2 mark) (b) Determine the current results of i, (t) and i,(t), it the inductance parameters (L, = 0,8 henry, Lz = 1 henry) and resistance parameters (R, = 1.40, R, = 10) are given respectively. (10 marks) (c) Plot the i, (t) and i,() results on the same graph using excel or any software. Locate the steady state region on the graph. (2 mark) (d) Hence, estimate the time required for both curents to reach the steady state condition from the moment the circuit is on (l.e. it)>0). (1 mark) P(t) - 100M where M last two digits of matrx numbers and Met for both zero digita Eg. M67 for 17203267, Mt for 17203200. (a) (b) Figure I (a) Coupled RL. electrical circuit with (b) the applied voltage v(t). C Given the governing equations for the coupled RL (Resistance/ Inductance) circuits with the applied voltage (Figure 1): di, 4 + R;(, - ) + R, (4,) = v(t) diz L+ R2(lz -4) = 0 Assuming the zero initial conditions where i, (0) = t,(0) = 0. (a) Express the applied voltage in piecewise function and unit step function separately. (2 mark) (b) Determine the current results of i, (t) and i,(t), it the inductance parameters (L, = 0,8 henry, Lz = 1 henry) and resistance parameters (R, = 1.40, R, = 10) are given respectively. (10 marks) (c) Plot the i, (t) and i,() results on the same graph using excel or any software. Locate the steady state region on the graph. (2 mark) (d) Hence, estimate the time required for both curents to reach the steady state condition from the moment the circuit is on (l.e. it)>0). (1 mark) P(t) - 100M where M last two digits of matrx numbers and Met for both zero digita Eg. M67 for 17203267, Mt for 17203200. (a) (b) Figure I (a) Coupled RL. electrical circuit with (b) the applied voltage v(t). C

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