Calculate Charge Entering Element 0-2 Sec: Simple?

  • Context: Undergrad 
  • Thread starter Thread starter faraznizamani
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Discussion Overview

The discussion revolves around calculating the charge entering an electrical element over a specified time interval, specifically from t=0 to t=2 seconds. The context includes understanding the relationship between current and charge, as well as applying integration to find the total charge based on a piecewise current function.

Discussion Character

  • Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant presents a piecewise function for current: i = {2A for 01} and asks for help in calculating the charge over the interval.
  • Another participant asks about the relationship between charge, current, and time.
  • A different participant explains that current is defined as the rate at which charge passes and provides the equation I = dQ/dt, suggesting that integration could be used to find the charge.

Areas of Agreement / Disagreement

Participants appear to agree on the fundamental relationship between current and charge, but the discussion does not reach a consensus on the specific calculation method or the final result.

Contextual Notes

The discussion lacks specific numerical integration steps or assumptions about the continuity of the current function at the transition point.

faraznizamani
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This is bugging me for some reason .. can anyone help me with this ?


the current flowing through an element is
i= {2A, 0<t<1
2t^2, t>1}
calculate the charge entering the element from t=0 to t=2 second
 
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What is the relation between charge, current and time?
 
I have no other data regarding the question :/ can you help me ?
 
Well, current is simply a moving charge. In fact it is defined as the rate at which charge passes:
I = \frac{\Delta Q}{\Delta t}
or, in the limit of vanishing \Delta t,
I(t) = dQ/dt (the derivative).

Try integrating both sides of that equation.
 

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