please showall steps and sketches In the circuit below, L, R1=R, R2=R3=2R are gi
ID: 2116724 • Letter: P
Question
please showall steps and sketches
In the circuit below, L, R1=R, R2=R3=2R are given. Initially switch S is open. Answer the questions below. Provide necessary auxiliary diagrams and derivations. Find the current through the inductor (Ii), the voltage across R2 (V2i) and the current through R3 (I3i) immediately after the switch is closed. Find the current through the inductor (Qf), the voltage across R2 (V2f) and the current through R3 (I3f) a long time after the switch is closed. Sketch graphs for the three quantities above as functions of time. Sketch how total current provided by the battery depends on time. After a constant current in the inductor of Problem 9 is established, the switch is opened. The remaining questions refer to the time period that follows the opening of the switch. Calculate how much time it takes for the current through R3 to reach approximately 37% of its initial value. When the current through R3 reaches 37% of its initial value, what is the voltage across the inductor? Sketch qualitative graphs of the inductor discharge, showing the variation of the current I3 through the resistor R3, the voltage V on the inductor, and the current I on the inductor. Make sure to indicate the numerical values of the various quantities at t= 0.Explanation / Answer
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