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(a) [2.5 marks] Derive a differential equation for ve(t), for t> 0 along with an initial condition. You should derive your equation directly from the circuit itself, and not using an equivalent circuit (or you will only receive partial marks). Show all of your work.
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![(a) [2.5 marks] Derive a differential equation for ve(t), for t> 0 along with an initial condition. You should derive your equation directly from the circuit itself, and not using an equivalent circuit (or you will only receive partial marks). Show all of your work.](https://numengineering.com/wp-content/uploads/2024/12/all-1.png)
In the following circuit, the switch has been in position A for a long period of time before it is moved to position B at time t = 0. 1012 A t=0 w BO 15 Ω + 30 V ( il(t) 30 12 v(t) 3 A ( 10 mH
(a) (2.5 marks] Derive a differential equation for iz(t), for t > 0 and determine the initial condition. You should derive your equation directly from the circuit itself, and not using an equivalent circuit (or you will only receive partial marks). Show all of your work. Question 4 (Continued) 1012 A B t=0 15 12 + v(t) Circuit redrawn 30 V ( il(t) 30 12 3A (1 10 mH
(b) (4.5 marks] Find ii(t) for t > 0) and draw a plot of the result. You may use any method you wish, but you must show work that properly justifies your answer. Question 4 (Continued) 1012 A B t=0 15 12 + Circuit redrawn 30 V ( il(t) 30 S2 v(t) 3 A ( 10 mH
(c) (1.5 marks] Find v(t) for t > 0 and draw a plot of the result. Show all of you work.
(d) (1.5 marks] Is the inductor storing or releasing energy after the switch is closed? You must explain your reasoning.
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