You have calculated the current at t = 2 sec. That current is working against the potential difference across the capacitor. What is that potential difference at this time? What is the relationship between current, voltage and power?Thefox14 said:Homework Statement
A 2.9 MΩ and a 2.8 μF capacitor are connected in series with an ideal battery with an EMF of 3 V. At 2 seconds after the circuit is initially connected to the battery:
What is the rate at which energy is being stored on the capacitor?
Homework Equations
dq/dt = v/r * e^(-t/RC) = 8.08e-7The Attempt at a Solution
I have tried differentiating .5Q^2/C and got (dq/dt)/C But this didnt work. I did the same for .5CV^2
What am I doing wrong?
cupid.callin said:E = .5q2/C
[tex]\frac{dE}{dt}[/tex] = [tex]\frac{q}{C}[/tex][tex]\frac{dq}{dt}[/tex]
[tex]\frac{dE}{dt}[/tex] = [tex]\frac{q}{C}[/tex][tex]i[/tex]
so now for ant time t you can find q on capacitor and current in curcuit ...just substitute them
A RC circuit, also known as a resistor-capacitor circuit, is an electrical circuit that contains a resistor and a capacitor connected in series or parallel. It is commonly used in electronic devices to control the flow of electric current and store electrical energy.
The time constant of a RC circuit can be calculated by multiplying the resistance (R) in ohms by the capacitance (C) in farads. The formula for time constant is τ = R x C. This value represents the time it takes for the capacitor to charge or discharge to 63.2% of its maximum voltage or current.
The time constant is directly proportional to the rate of change in a RC circuit. This means that a smaller time constant will result in a faster rate of change, while a larger time constant will result in a slower rate of change. This relationship is described by the equation: ΔV/Δt = V(1-e^(-t/τ)), where ΔV/Δt is the rate of change, V is the maximum voltage or current, t is time, and τ is the time constant.
The resistance and capacitance in a RC circuit have an inverse relationship with the rate of change. A higher resistance value will result in a slower rate of change, while a lower resistance value will result in a faster rate of change. Similarly, a higher capacitance value will result in a slower rate of change, while a lower capacitance value will result in a faster rate of change.
RC circuits have a wide range of applications, including in electronic devices such as radios, televisions, and computers. They are also used in timing circuits, filters, and pulse-shaping circuits. In addition, RC circuits are used in medical equipment, such as pacemakers and defibrillators, to regulate the flow of electric current in the body.