Basic Electricity (what i should know but don't)

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SUMMARY

The discussion focuses on calculating the maximum resistance of a filament lamp using a graph of voltage (V) against current (I). To determine the maximum resistance, one must accurately draw a tangent to the curve at the steepest point, typically near the origin. By constructing a right-angled triangle where the tangent serves as the hypotenuse, the maximum resistance can be calculated by dividing the change in voltage by the change in current (ΔV/ΔI). This method provides a clear approach to finding resistance in non-linear components.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with graph interpretation
  • Knowledge of tangent lines in calculus
  • Basic skills in constructing right-angled triangles
NEXT STEPS
  • Study the principles of Ohm's Law in detail
  • Learn how to accurately draw tangents to curves
  • Explore the concept of resistance in non-linear components
  • Investigate the characteristics of filament lamps and their I-V curves
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Students in physics, electrical engineering enthusiasts, and anyone looking to deepen their understanding of electrical resistance in non-linear devices.

chaz699
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i have been given this question

Figure 1 shows a graph of V against I for a filament lamp. Calculate the maximum resistance of the lamp over the range shown by the graph,

now i have a somewhat vague attempt and its to measure the tangent of the line (i can't upload the graph sorry)

how do i take a tangent of a curved line accurately and then calculate the maximum resistance


thank you for your help
 
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You just need to take a little time and care drawing your tangent.The graph should be steepest at the origin where the resistance is highest..Draw your tangent as long as you can ,construct a right angled triangle where the tangent becomes the hypotenuse and divide the change of voltage by the change of current(tan theta)
 

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