- #1
gleeman
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A simple question:
What is the area under the voltage-against-resistance graph?
Thanks for your help!
What is the area under the voltage-against-resistance graph?
Thanks for your help!
Chi Meson said:If you want to see what the integral ("area under the curve") is while looking at a graph, look at the units of the two axes. The area under the curve has the unit that is the product of unit-y times unit-x.
Chi Meson said:I also can't see how you will get from the integral of this curve to anything useful.
Are you sure you don't want to investigate the slope of this graph? Then perhaps look at the intercept?
robphy said:Can you derive an algebraic expression involving V, R_external, and R_internal?
Then compare it to the graph on your V vs R_external graph?
The area under a voltage-against-resistance graph represents the amount of energy dissipated or transformed in a circuit. It is a measure of the work done by the electrical current in overcoming the resistance in the circuit.
The area under the graph is calculated by taking the integral of the voltage-resistance curve. This involves breaking the curve into small sections and calculating the area of each section, then adding them together to get the total area.
A larger area under the graph indicates a higher amount of energy dissipated or transformed in the circuit. This could be due to a higher voltage or a lower resistance, as both factors affect the amount of work done by the current.
The shape of the graph can greatly affect the area under it. A steeper slope indicates a higher voltage, which results in a larger area under the graph. A flatter curve indicates a lower voltage and a smaller area under the graph. Additionally, a non-linear curve can result in a different area calculation than a straight line graph.
Analyzing the area under a voltage-against-resistance graph can be helpful in determining the efficiency of a circuit, as well as identifying any potential issues or faults. It can also be used to compare the energy consumption of different circuits. Additionally, it is used in the design and optimization of electronic devices and systems.