Network -- Current passing through a capacitor

In summary, a current i(t) is passed through a capacitor, and the charge acquired by the capacitor after 5 micro seconds can be found by using an equation relating capacitor voltage to the integral of its current. The amount of charge can also be calculated by finding the area under the current-time graph between time ta and time tb.
  • #1
anand raj
17
0

Homework Statement



A current i(t) as shown in the figure is passed through a capacitor. the charge (in micro coulomb) acquired by the capacitor after 5 micro seconds
rter_zpsebcc1b3b.jpg


Homework Equations



here slope is given for 3 microsecond ie. current=dq/dt = 2.5 charge upto here = 3*2.5=7.5 micro seconds do not know what to do/unable to interpret

The Attempt at a Solution

 
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  • #2
Your class notes (or google) have an equation relating the capacitor voltage to the integral of its current. What is this equation?
 
  • #3
The amount of charge accumulated between time ta and time tb is the area under the current-time graph between those times. It's like when you used v-t graphs to find displacement.
 

Related to Network -- Current passing through a capacitor

1. What is a capacitor?

A capacitor is an electronic component that stores electrical energy by accumulating an electric charge on its plates. It consists of two conductive plates separated by an insulating material, known as a dielectric.

2. How does a capacitor work?

A capacitor works by allowing electric charge to build up on its plates when connected to a power source. The charge is stored in the form of an electric field between the plates, and when the capacitor is connected to a circuit, it can release this energy to power other components.

3. What is the significance of current passing through a capacitor?

The current passing through a capacitor is essential for charging and discharging the capacitor. When a current passes through a capacitor, it accumulates charge on its plates, and the amount of charge stored is proportional to the magnitude of the current.

4. What happens when current passes through a capacitor?

When current passes through a capacitor, it causes a voltage drop across the capacitor, leading to a change in the charge on its plates. The capacitor will continue to accumulate charge until it reaches its maximum capacity, at which point it becomes fully charged.

5. How does current passing through a capacitor affect an electrical circuit?

The presence of a capacitor in an electrical circuit can affect the flow of current and voltage in the circuit. It can act as a temporary power source, filter out high-frequency signals, and also affect the timing of signals in the circuit. Additionally, the presence of a capacitor can also help stabilize the voltage in a circuit.

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