Welcome to the PF.Onur said:Homework Statement
A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant τ gives the time the capacitor takes to lose
Homework Equations
(a) the first 1/8-th of its charge
(b)7/8-th of its charge?
The Attempt at a Solution
since ı know q0.e-t/rc but ı could not do it
no i don't knowberkeman said:Welcome to the PF.
Just set up those exponential equations and solve for time. Do you know how to take the natural log of both sides of an exponential equation to be able to pull the time variable out of the exponential?
I'm pretty sure they have been covered in your class, and here is a simple refresher for you:Onur said:no i don't know
A capacitor with initial charge refers to a type of electrical component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material, known as a dielectric. The plates are initially charged with opposite charges, creating a potential difference between them.
When a capacitor with initial charge is connected to a circuit, it allows the flow of current until the voltage across the plates reaches the same as the initial charge. The capacitor then acts as an open circuit, blocking any further flow of current. This process of charging and discharging allows the capacitor to store and release electrical energy.
The initial charge of a capacitor is affected by the capacitance of the capacitor, the voltage applied, and the type of dielectric used. The capacitance is determined by the size and distance between the plates, while the voltage is determined by the power source connected to the capacitor. Different dielectrics have different permittivity, which affects the amount of charge that can be stored.
Yes, the initial charge of a capacitor can be changed by adjusting the voltage applied to the capacitor. Increasing the voltage will result in a higher initial charge, while decreasing the voltage will result in a lower initial charge. Additionally, the initial charge can also be changed by connecting the capacitor to a different circuit with a different capacitance.
Capacitors with initial charge have various applications in electronics, such as smoothing power supply voltages, filtering signals, and storing energy in flash cameras, defibrillators, and electronic circuits. They are also used in radio frequency circuits, power factor correction, and energy harvesting systems.