Engineering Simple Lazy Current Question (Circuit)

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In a circuit with a short path created by an inductor, the current will primarily take the shortest route, which is through the short circuit, rather than through the 12V and 4k ohm resistor. The resistance of a short circuit is effectively zero ohms, allowing maximum current flow through that path. The voltage divider equation is relevant when considering how voltage is distributed across components, but in this scenario, the presence of the short circuit negates the impact of the resistor. Current from the voltage sources will predominantly flow through the short circuit, minimizing the current through the resistor. Understanding these principles is crucial for analyzing circuit behavior in such configurations.
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ok this is what i have, i want to know if the current would go through the 12V and 4k ohm resistor, since there is a short path (by making the inductor a short for time = infinity) would the current be lazy and take the path through the short or would it also go through the 12v and 4k ohm.

6f44ms.jpg
 
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seto6 said:
ok this is what i have, i want to know if the current would go through the 12V and 4k ohm resistor, since there is a short path (by making the inductor a short for time = infinity) would the current be lazy and take the path through the short or would it also go through the 12v and 4k ohm.

6f44ms.jpg

What are your thoughts? What is the resistance in Ohms for a short circuit? What is the voltage divider equation?
 
You must remember that the current through the short circuit comes from the two voltage sources.
 
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