When Does Voltage Across Resistor Equal Voltage Across Inductor in RL Circuit?

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Discussion Overview

The discussion revolves around determining the time at which the voltage across a resistor equals the voltage across an inductor in an RL circuit, specifically when a step input of 100V is applied. The context includes homework-related inquiries and attempts to solve the problem using relevant equations.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • Participants express uncertainty about which equations to use, with one mentioning the time constant τ = L/R as a known relationship.
  • Some participants have attempted to find equations for current and time constants but indicate they have not yet found the specific information needed to solve the problem.
  • One participant suggests using Google to look up "LR series circuit" for additional resources.

Areas of Agreement / Disagreement

There is no consensus on the specific equations or methods to solve the problem, and participants express varying levels of uncertainty regarding their approaches.

Contextual Notes

Participants have not resolved the mathematical steps necessary to find the time at which the voltages are equal, and there is a lack of clarity on the definitions and relationships involved in the circuit analysis.

JordanU94
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Homework Statement



A step input of 100V is applied to a resistor of 50Ω in series with an inductor of 10H at time t=0. Calculate the time at which the voltage across the resistor equals the voltage across the inductor

Homework Equations



Im not sure which equation to use, i know τ=L/R is used, but that's all I am certain of

The Attempt at a Solution



I have no valid attempts
 
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JordanU94 said:

Homework Statement



A step input of 100V is applied to a resistor of 50Ω in series with an inductor of 10H at time t=0. Calculate the time at which the voltage across the resistor equals the voltage across the inductor

Homework Equations



Im not sure which equation to use, i know τ=L/R is used, but that's all I am certain of

The Attempt at a Solution



I have no valid attempts
Google is your friend. Look up "LR series circuit".
 


I have been for the past week, I've found equations to find the current in the circuit, and the time constants of the exponensial curve, but not what I'm looking for
 


JordanU94 said:
I have been for the past week, I've found equations to find the current in the circuit, and the time constants of the exponensial curve, but not what I'm looking for

Well, what equations have you found?
 

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