LR Circuit Analysis: Calculating Current and Gradient (0-0.6 seconds)

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SUMMARY

The discussion focuses on LR circuit analysis, specifically calculating current and gradient over time when a coil is connected to a DC supply. The equation governing the current is i = IetR/L, where I is the maximum current, R is the resistance (10Ω), and L is the inductance (1.2 henrys). Participants are tasked with plotting the current over the interval of 0 to 0.6 seconds and determining the gradient at t = 0.2 seconds, with a suggestion to utilize calculus for accurate gradient calculation. The importance of correctly deriving the exponential function in the context of this problem is emphasized.

PREREQUISITES
  • Understanding of LR circuit theory
  • Familiarity with the equation i = IetR/L
  • Basic calculus, specifically differentiation of exponential functions
  • Graphing techniques for plotting current over time
NEXT STEPS
  • Learn how to derive the exponential function in the context of electrical circuits
  • Study the application of calculus in analyzing electrical circuits
  • Explore graphing software tools for visualizing circuit behavior over time
  • Investigate the effects of varying resistance and inductance on current flow
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or teaching LR circuit dynamics and current behavior.

will.i.am2
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A coil connected across a d.c. supply will cause a spark to occur across a switch when turned off. The current flowing in the circuit at this moment is given by the equation i = IetR/L amps. Where I is the maximum circuit current, R the resistance of the coil and L the inductance of the coil.

(a) For a coil of resistance = 10Ω and Inductance 1.2 henrys through which the maximum current flowing was 5 amps, plot the graph for values of t between 0 and 0.6 seconds.
please refer to attached images.

(b)From the graph determine its gradient at t = 0.2 seconds.
26/0.2 = 130?
please refer to attached graph.

(c) Using calculus determine the gradient of the curve and from it the actual gradient when t = 0.2 seconds.
please refer to attached images.

So, any help would be appreciated.
thanks

****work is attached in form of images please don't remove it this time*****
 

Attachments

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  • Graph2.png
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  • part c.png
    part c.png
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Remember when taking the derivative of an exponential, you just get an exponential with some constants out front. That might help in drawing your graph =)
 
Your derivative in part c is incorrect, as it was in the other problem you posted.

What is this derivative?
$$\frac{d}{dt}e^{tR/L}$$

BTW, it's reasonable to post images of tables and graphs, but you should post the work you did right here in the text pane, not as an image.
will.i.am2 said:
****work is attached in form of images please don't remove it this time*****
If you're referring to your post for the CR problem, the images are still there. No one removed them.
 

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