ASAP please CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for along time before it is switched to position (a) at t = 0. In position (a) Kirchoff'sloop rule results in a different differential equation for the current ¡(t).di(t)E-I(t)r-L = 0dtThe solution to this differential equation isI(t) = 1 (1-e-t/t),a. Determine the time constant of the circuit. Comment: theway to do this is to note that when t = ₂, the current is iI(1-e-¹) = 0.63 ....Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r.4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a).b. The inductance is 1.2 H. What is the resistance r?Current (mA)20.5000004R6 3 10 12 14time (ms)c. What is the EMF 8? Hint: use the fact that the inductor will act like a wire at very long times.d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.

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CURRENT INCREASING FROM ZERO: Assume the switch is in position (b) for a long time before it is switched to position (a) at t = 0. In position (a) Kirchoff's loop rule results in a different differential equation for the current I(t). dl(t) 8-1(t)r-L- = 0 dt The solution to this differential equation is 1(t) = (1-e-t/tc), Where I.. = E/r is the current at t = ∞o and the time constant T₂ = L/r. 00 4. The graph shows the current through the ideal inductor as a function of time after the switch is thrown to (a). a. Determine the time constant of the circuit. Comment: the way to do this is to note that when t= the current is i (1-e-¹) = 0.63 1... b. The inductance is 1.2 H. What is the resistance r? Current (mA) 00000 0.5 6 3 10 12 14 time (ms) c. What is the EMF &? Hint: use the fact that the inductor will act like a wire at very long times. d. What is the voltage across the inductor at t = 6 ms? Hint: use the results from (b) and (c) and the loop rule.