Table of Contents
- 1 What does area under a current-time graph represent?
- 2 How come in this case an area is equal to a distance?
- 3 How do you calculate the initial charge of a capacitor?
- 4 What is the relationship between current and charge?
- 5 Why distance is area under velocity-time line?
- 6 How do you find the area under the current-time graph?
- 7 What is the relationship between time and charge?
- 8 What is the gradient of the charge-time graph?
What does area under a current-time graph represent?
Charging Capacitors Note: The area under the current-time graph is equal to the amount of charge stored on the plates.
How come in this case an area is equal to a distance?
Finding the area only gives an amount, no direction. The area under the curve is the magnitude of the displacement, which is equal to the distance traveled (only for constant acceleration). So in this case, they are interchangeable although it was probably a mistake by Sal to use both.
What is the area under a voltage time graph?
The area is proportional to the total energy delivered. The time integral of volts is what it’s actually called. The time integral of power is energy, and the current was constant, so the volts is proportional to power.
How do you calculate the initial charge of a capacitor?
The exponential function e is used to calculate the charge remaining on a capacitor that is discharging. KEY POINT – The charge, Q, on a capacitor of capacitance C, remaining time t after starting to discharge is given by the expression Q = Q0e–t /τ where Q0 is the initial charge on the capacitor.
What is the relationship between current and charge?
An electric current is a flow of charged particles. In metal conductors the charged particles are free electrons….The relationship between current I and quantity of charge Q.
I = | I = Q ÷ t |
---|---|
Q = It | Q = I x t |
t = | t = Q ÷ I |
What is the area under a velocity time graph equal to?
displacement
It has been learned in this lesson that the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period. The area can be identified as a rectangle, triangle, or trapezoid.
Why distance is area under velocity-time line?
The area under a speed-time graph is the distance. This is because speed and distance are scalars. The area under a velocity-time graph is the displacement. Velocity can be negative if an object is moving backwards.
How do you find the area under the current-time graph?
The definition of current is charge per unit time. Therefore, charge = current*time. While finding the area under the current-time graph, you are basically multiplying the two axes (current and time).
How do you find the time constant on a voltage-charge graph?
As all of these relationships are exponential, natural log graphs can be drawn to obtain values for the time constant. For instance: The potential difference across the plates of a capacitor is directly proportional to the charge stored on the plates. This gives a straight line through the origin on a voltage-charge graph.
What is the relationship between time and charge?
Time Constant. The rate of removal of charge is proportional to the amount of charge remaining. As time steps forward in equal intervals, T (called the time constant ), the charge drops by the same proportion each time. It turns out that each for interval, T, the charge or current drops to about 0.37 (37\%) of its initial value.
What is the gradient of the charge-time graph?
You can also see that the gradient of the charge-time graph is related to the current-time graph. This is because the gradient of the charge-time graph is . When a capacitor is discharged, the current will be highest at the start.