Calculating Voltage in an Electromagnet with Known Inductance and Current

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Homework Help Overview

The problem involves calculating the voltage developed in an electromagnet with a known inductance of 100H and a current of 50A, specifically when a switch is opened and closed. The switch operation time is given as 1 millisecond.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of Faraday's law of induction and question the absence of resistance in the problem. There is also a suggestion to consider a circuit diagram for better understanding of the components involved.

Discussion Status

Some participants have provided insights into potential approaches, while others have expressed uncertainty regarding the missing information, such as resistance. One participant claims to have found a solution, but the details of their reasoning are not fully explored.

Contextual Notes

The original poster's problem lacks specific information about resistance, which is critical for applying the provided formula. Additionally, the implications of the switch's operation time are under consideration but not fully clarified.

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Homework Statement


an electromagnet is operated at 50A. assuming an inductance of 100H for the magnet's coil, what voltage will be developed when the switch is opened? when it is closed? assume that the switch requires 1 millisecond to operate.


Homework Equations


I(t) = Vb/(R(1-e^(-tR/L)))


The Attempt at a Solution


with the given formula above I am not quit sure how to proceed if I am not given resistance. any insight on how I should proceed with this problem would be great!
 
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You could use Faraday's law of induction. It gives you the emf developed by a change in the magnetic flux.
 
Is there a circuit diagram to accompany this problem? Maybe that would give us a hint as to the where the resistance is supposed to be, or what might be in place to limit voltages, or what the implications are for a switch that "requires 1 millisecond to operate".
 
no diagram but I figured it out.

di/dt = 50A/10^-7
V = L(di/dt)
V= 5MV
 
thank you everyone!
 

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