Question-1) The three parallel inductors in Fig. 1 are connected across the terminals of a black box at t = 0. The resulting voltage v fort > 0 is known to be 125e-st V. It is also known that i₁ (0) = 5 A, i2(0)=-5 A, and i3 (0) = -10 A. a) Replace the original inductors with an equivalent inductor and find i(t) for t≥ 0. b) Find i,(t), iz(t) and is(t) for t≥ 0. c) How much energy is delivered to the black box in the time interval 0 <t< 0. e) How much energy was initially stored in the each parallel inductor? f) Plot v, i, p, and w, as functions of time using a proper software package (i.e. Excel, Matlab). L₁ =1/5 H, L2 = 1/2 H, L3 = 1/3 H 1=0 Black V box