6. The current through a 60 mH inductor is: -500 i(t)=K₁e00+ Ke-2000 A for 120, where K, and K, are constants that are to be determined. a) Determine the voltage, v,(t) as a function of K, and K. b) If the current through the inductor at time t = 0 is i,(0) = 120 mA, and the voltage across the inductor at t=0 is v,(0) = 3 V, determine the constants K₁ and K₂.

Fig: 1