LR Circuit: Solving for Charge Flow?

In summary, the conversation involves a student seeking help with a problem involving current in an LR circuit. They are struggling with finding the correct answer when integrating. However, they have since solved the problem.
  • #1
cupid.callin
1,132
1
I solved it :p

Homework Statement


attachment.php?attachmentid=33120&stc=1&d=1300218625.jpg

The Attempt at a Solution



I need help with part (a)

Current in LR circuit, [tex]i = i_o (1 - e^{-t/\tau})[/tex] and [tex]\tau = \frac{L}{R}[/tex]

so, [tex]\frac{dq}{dt} = i_0 (1 - e^{-t/\tau})[/tex]

integrating it is not giving me the correct answer.
 

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  • #2
cupid.callin said:
I solved it :p


Homework Statement


attachment.php?attachmentid=33120&stc=1&d=1300218625.jpg



The Attempt at a Solution



I need help with part (a)

Current in LR circuit, [tex]i = i_o (1 - e^{-t/\tau})[/tex] and [tex]\tau = \frac{L}{R}[/tex]

so, [tex]\frac{dq}{dt} = i_0 (1 - e^{-t/\tau})[/tex]

integrating it is not giving me the correct answer.

just integrate with respect to t, dq/dt = ... dq = ...dt
 
  • #3
its solved ... i wrote it on the top
 

FAQ: LR Circuit: Solving for Charge Flow?

What is an LR circuit?

An LR circuit is an electrical circuit that consists of a resistor (R) and an inductor (L) connected in series. When a voltage is applied to the circuit, it causes the flow of current, and the inductor stores energy in the form of a magnetic field.

How does an LR circuit work?

When a voltage is applied to an LR circuit, the current starts to flow through the resistor, creating a voltage drop. As the current flows through the inductor, it creates a magnetic field, which opposes the change in current. This results in a delay in the current flow, creating a phase difference between the voltage and current.

What is the effect of an inductor in an LR circuit?

The inductor in an LR circuit stores energy in the form of a magnetic field. It resists the change in the current, causing a phase difference between the voltage and current. This results in a delay in the current flow and a gradual increase in current over time.

How does the charge flow in an LR circuit?

In an LR circuit, the charge flows through the circuit as a result of the voltage applied. As the current flows through the inductor, it creates a magnetic field, which stores energy. This energy is released as the current decreases, resulting in a continuous flow of charge through the circuit.

What is the time constant of an LR circuit?

The time constant of an LR circuit is the time it takes for the current to reach 63.2% of its maximum value when a voltage is applied. It is calculated by multiplying the inductance (L) of the circuit by the resistance (R) of the circuit.

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