Condenser Dischange Question

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In summary: Your Name] In summary, to find the time it takes for a discharging condenser to decrease its voltage by 90%, we can use the equation Ee^-rt, where E is the initial voltage, t is the time in seconds, and r is the rate of change. Solving for t, we get approximately 230 seconds.
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Homework Statement



When a condenser discharges electricity, the instantaneous rate of change of the voltage is proportional to the voltage in the condenser. Suppose you have a discharging condenser and the instantaneous rate of change of the voltage is -0.01 of the voltage (in volts per second). How many seconds does it take for the voltage to decrease by 90%?

Homework Equations



E^rt

The Attempt at a Solution



E^(-0.01(0.90))=0.99104


Help Please!
 
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Thank you for your inquiry about the discharging condenser and the related question about the time it takes for the voltage to decrease by 90%. The equation you have used, E^rt, is correct for exponential decay, where E is the initial voltage and r is the rate of change. However, in this case, we have a negative rate of change, so we need to use the equation Ee^-rt, where E is the initial voltage and t is the time in seconds.

To solve for the time it takes for the voltage to decrease by 90%, we can set up the following equation:

0.1E = Ee^-0.01t

Simplifying, we get:

0.1 = e^-0.01t

Taking the natural logarithm of both sides, we get:

ln(0.1) = -0.01t

Solving for t, we get:

t = ln(0.1)/-0.01

t ≈ 230 seconds

Therefore, it would take approximately 230 seconds for the voltage to decrease by 90%. I hope this helps. Let me know if you have any further questions.
 

What is a condenser discharge question?

A condenser discharge question is a type of scientific inquiry that involves the discharge of energy stored in a capacitor or condenser. It is commonly used in experiments and research to study the properties of electricity and how it can be controlled and manipulated.

How does a condenser discharge work?

A condenser discharge works by releasing the electrical energy stored in a capacitor or condenser. When a capacitor is charged, it stores energy in the form of an electric field between its two plates. When the capacitor is discharged, this energy is released as a sudden burst of electricity.

What are some applications of condenser discharges?

Condenser discharges have many practical applications in various fields of science and technology. They are commonly used in electronic circuits, such as in camera flashes, to produce a brief burst of light. They are also used in medical devices, such as defibrillators, to deliver a controlled amount of electrical energy to the body.

What factors affect the discharge of a condenser?

The discharge of a condenser can be affected by various factors, such as the capacitance of the capacitor, the voltage applied to it, and the resistance of the circuit. The type of material used for the capacitor plates can also have an impact on the discharge process.

How is a condenser discharge different from a battery discharge?

A condenser discharge is different from a battery discharge in several ways. Unlike a battery, a capacitor does not chemically produce electricity but stores it as electrical energy. A condenser discharge is also much faster and can deliver a higher amount of energy in a shorter amount of time compared to a battery discharge.

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