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

AI Thread Summary
In an RL circuit with a 100V step input, a 50Ω resistor, and a 10H inductor, the goal is to determine when the voltage across the resistor equals the voltage across the inductor. The relevant time constant, τ, is calculated using τ = L/R, which equals 0.2 seconds in this case. The voltage across the resistor and inductor can be expressed in terms of the circuit's current and the time constant. The discussion highlights the challenge of finding the specific equations needed to solve for the time at which the voltages are equal. Further exploration of LR series circuit equations is encouraged to arrive at a solution.
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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