Engineering Reversing Current in Part F: Seeking Help

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The discussion focuses on calculating the rate of change of current at the moment a switch is closed in a circuit involving an inductor. The user has confidence in their previous answers but seeks verification for part f, specifically regarding the reversal of current. It is noted that the inductor opposes this reversal until the steady-state current is achieved. The suggested approach involves differentiating the current expression over time and substituting specific values to find di/dt. This method aims to clarify the calculations needed for an accurate result.
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The attached document contains the question and the answers I have calculated. I am confident that I have answered them correctly however another pair of eyes is always useful.


The problem I have is with part f - Rate of change of current at the instant the switch is closed on position 2. I know that the current needs to reverse, and that the inductor will oppose this reversal, until such time as eventually the steady-state current calculated at part d will be reached, however I'm at a loss as to where to start the calculations.
 
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You have an expression for the current at every instant t 0<t<0.72s.
If you differentiate that expression you have di/dt. Replace t by 0.72 and you have the rate of change at that instant.
Replace t by 0 and check the result you obtained in item e.
 

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