Can we start with example? Suppose I have 1 f capacitor, connected with 10 volt DC battery. Now I want to find out voltage and current through capacitor. I know voltage and current represent over timeHow do you find the voltage across a capacitor as a function of the current through the capacitor?
How do you find the current through an inductor as a function of the voltage applied to the inductor?
OK battery is not connected, can we assume 10v DC applied to to capacitor. My main purpose is how to find out derivative of voltage over time. What should be know to find out derivative of voltage over time. It's better for me if someone can explain with exampleIt is not possible to connect a capacitor to a battery, because with a perfect battery and perfect capacitor an infinite current will flow and the universe will be destroyed.
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I was being flippant vead because it is one of two related impossibilities in electronics. The other is that you cannot force a current through an inductor because an infinite voltage will be generated. A third, and more basic tenant, is that you cannot place a short circuit across a voltage source, because an infinite current will flow.OK battery is not connected, can we assume 10v DC applied to to capacitor. My main purpose is how to find out derivative of voltage over time. What should be know to find out derivative of voltage over time. It's better for me if someone can explain with example
OK thank you for your detail explanations I want to understand concept behind the formula. We have formulaAs you imply with your question, applying mathematics to electronics is quite difficult and is one of the great failings in electronics in general.
You need to understand electronics and understand mathematics to relate the two effectively.
Unfortunately, much of the literature is confusing but it is much better now than in my early learning days.
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Afraid I don't really understand your question. Perhaps one of the ETO maths experts can help out.OK thank you for your detail explanations I want to understand concept behind the formula. We have formula
I(t) =C dv/dt
I have some points related to that formula
Does it valid for DC circuit?
What we should know to find out derivative of voltage?
OK I try to make simpleAfraid I don't really understand your question.
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OK I try to make simple
Formula
I(t) = C dv /dt
C is capcitance, dv/dt rate of change of voltage over time
Question : what should I know to find out dv/dt?
I think it should beFor a capacitor:
I/C = dv/dt
Where
I is in Amps (DC)
C is in Farads
v is in Volts
s is in seconds
For an inductor:
V/L = di/dt
Where:
V is in Volts (DC)
L is in Henries
i is in Amps
t is in seconds
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Of course, this is not at all true in the Real World: Only in the theoretical world can we lay claim to perfect batteries, capacitors, inductors, wires, etc.It is not possible to connect a capacitor to a battery, because with a perfect battery and perfect capacitor an infinite current will flow and the universe will be destroyed.
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Well said. I learned the more complex concepts (beyond E=I/R) by practical experience and only later learned the math behind them (differential and integral relationships). The real-world applications made the math much, much easier to grasp.This is how Electrical Engineering got where it is, and while it is possible to understand it with nothing but abstract math, as long as it is abstract, it leaves you open to making mistakes that would be obvious if you had a concrete experience with it.
Hello
Integration and differential are most important concept in electronics Calculating voltage or current through capacitor require both integral and differential calculus. Differential calculus is procedure of finding derivatives.
I doubt that being I have never used calculus for any electronic's or electrical or any other practical real life application ever and I have been designing building and fixing things electrical and mechanical for ~25+ years now.
I and D calculus are a tool, not a concept.Hello
Integration and differential are most important concept in electronics
It requires a knowledge of how to solve differential equations. The kind of differential equations determine whether you need I or D calculus.Calculating voltage or current through capacitor require both integral and differential calculus.
Tell us something we don't already know.Differential calculus is procedure of finding derivatives. Integral calculus calculate area under the curve. Dv/dt means derivatives rate of change of voltage over time. As same di/dt means rate of change of current over time.
I can solve differential integral calculus but I am having problem to understand in electronics. I can put formula and can find the but don't understand how the are related in electronics Can someone explain concept behind integral and differential calculus in electronics?
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