Current versus voltage, Very Easy (but stuck)

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SUMMARY

The discussion focuses on analyzing the relationship between electromotive force (Emf), capacitance (C), and current (I) in a circuit without a resistor. The graph provided depicts a trapezoidal shape representing Emf versus time, with specific points where the slope changes. The key conclusion is that the current graph mirrors the voltage graph due to the absence of resistance, and understanding the equations governing these relationships is essential for accurately depicting the current's time dependence.

PREREQUISITES
  • Understanding of electromotive force (Emf) in circuits
  • Knowledge of capacitance (C) and its role in current flow
  • Familiarity with Ohm's Law (V = I/R)
  • Basic graph interpretation skills for analyzing time-dependent functions
NEXT STEPS
  • Study the relationship between Emf, capacitance, and current using the equation I = C(dV/dt)
  • Learn about the time constant in RC circuits and its effect on current
  • Explore the concept of transient response in capacitive circuits
  • Investigate the impact of adding resistance to the circuit and how it alters the current graph
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of circuit dynamics involving capacitors and current behavior.

pynergee
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Homework Statement


The problem gives a graph of Emf versus time, in a circuit consisting of capacitor C and voltage source e. It asks to draw the time dependence of the current I in the circuit.


Homework Equations


The graph looks like a trapezoid, positive slope starting at Emf=0 t=0, getting to t1 where the slope becomes 0, until t2, where it becomes a negative slope, and travels to t4 where it reaches Emf = 0


The Attempt at a Solution


I know for Ohms law it states V = I/R, but there isn't a Resistor in the circuit given. Would this just show that the current graph should look exactly the same as voltage graph?

Please help, thank you.
 
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You can put a resistor in (after all the leads always have some resistance), but this will not change what the drawing of the time dependence of the current looks like.

How about some equations to begin with? How are emf, capacitance and current related? You need two equations for starters.
 

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