Voltage drop across a certain device

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The discussion focuses on calculating the charge, instantaneous power, and total energy consumed by a device based on voltage and current graphs. Participants emphasize that charge is derived from the integral of current, while instantaneous power is the product of voltage and current. To find energy, one must integrate power over time. A method for integrating discrete graph values, such as the trapezoidal rule, is suggested for calculating areas under the curves. The conversation highlights the importance of understanding electric units and integration techniques for solving these problems.
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the voltage drop across a certain device and the current through it in the direction of the voltage rop are shown in figure below..Determine:

the charge q though the device at the end of each 1 s interval from t=0 to t=6s.

The instantaneous power during the aforementioned intervals.

the total energy consumed by the device.

i have a figure where it shows the graph of v(y axis) and time(x axis)

and another one showing the graph of i(y axis) and time(x axis)

I am not able to solve this soo please help me..

i know that i must show that i have tried to solve this..i do not want the spolution..juste a guide

thanks really for the help
 
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Welcome to PF!

qwerty321 said:
i have a figure where it shows the graph of v(y axis) and time(x axis)

and another one showing the graph of i(y axis) and time(x axis)

Hi qwerty321! Welcome to PF! :smile:

(always use capitals for V and I :wink:)

You must learn your electric units …

current = charge per time, so charge = … ?

voltage = energy per charge, so energy = … ?

power = current times voltage …

and integrate over t. :smile:
 
qwerty321 said:
the voltage drop across a certain device and the current through it in the direction of the voltage rop are shown in figure below..Determine:

the charge q though the device at the end of each 1 s interval from t=0 to t=6s.

The instantaneous power during the aforementioned intervals.

the total energy consumed by the device.

i have a figure where it shows the graph of v(y axis) and time(x axis)

and another one showing the graph of i(y axis) and time(x axis)

I am not able to solve this soo please help me..

i know that i must show that i have tried to solve this..i do not want the spolution..juste a guide

thanks really for the help

The charge is the integral of the current,
The instantaneous power is the product of voltage and current in the instant considered.
The energy is the integral of the power.
 
ok i know that..but how can i integrate a graph?
 
qwerty321 said:
ok i know that..but how can i integrate a graph?

An integral is just the area under a graph (okay, the area between the graph and the x-axis, positive or negative depending on which side it happens to be on). Antiderivatives just happen to be an easier(?) way of obtaining this number than plotting the function and counting graphing paper squares. Or attempting to fit data to a curve, and then finding the antiderivative of that.
 
qwerty321 said:
ok i know that..but how can i integrate a graph?

Since you have only discrete values in your graph, you can use the trapezoidal rule:
Let f(t) the value of the function at time t and f(t+T) the value at time t + T.
So, you have a trapeze with bases f(t) and f(t+T) and height T. The area of the trapeze is:
A = \frac{f(t) + f(t+T)}{2T}
 
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