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According to the data sheet, a piezoelectric device is 3% efficient. A coworker says that energy is not conserved in the device because 97% of the energy is lost when it is used. Explain what is wrong with your coworker's explanation.

Short Answer

Expert verified
The coworker misinterprets energy conservation; energy is conserved but mostly dissipated as heat.

Step by step solution

01

Understanding Energy Efficiency

Efficiency of a device is defined as the ratio of useful output energy to the total input energy, expressed as a percentage. For this piezoelectric device, only 3% of the input energy is converted into useful work, while the remaining 97% is not used for useful work.
02

Conservation of Energy Principle

The principle of conservation of energy states that energy cannot be created or destroyed, but it can change forms. This means all energy, regardless of being used for useful work, will still exist in some form, such as heat or sound.
03

Misinterpretation of Energy Loss

When your coworker says that 97% of the energy is lost, they may be misinterpreting the concept of energy loss. In reality, this energy is not 'lost' but rather transformed into other forms like heat, which are not useful for the intended work.
04

Sustaining the Law of Energy Conservation

Despite the piezoelectric device's low efficiency, the law of energy conservation is still followed because all input energy is accounted for, only distributed differently across various forms. Thus, the claim that energy is not conserved due to inefficiency is incorrect.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conservation of Energy
The principle of conservation of energy is a fundamental law in physics. It states that energy cannot be created or destroyed. Instead, it only changes from one form to another. This can often confuse people when they talk about energy losses during a process.

When discussing devices like the piezoelectric device, it's important to realize that what is labeled as "lost" energy isn't lost in the true sense. It's merely transformed into other forms, such as heat, sound, or even light, depending on the specific process. This is why it's crucial to remember that no matter how inefficient a system might be, the total energy before and after any transformation remains constant.

Hence, the claim that energy is not conserved because most of it is not used for useful work is common but incorrect. Energy is always conserved per the conservation law. However, ensuring it all goes into desired forms is where efficiency becomes the real challenge.
Piezoelectric Devices
Piezoelectric devices are fascinating because they convert mechanical energy into electrical energy through the piezoelectric effect. This effect occurs when certain materials generate an electric charge in response to mechanical stress.

These devices are used in various applications, such as sensors, actuators, and energy harvesting systems. However, they are not 100% efficient. In fact, as stated in the exercise, the device in question is only 3% efficient.

This means only a small portion of the mechanical energy input gets converted into useful electrical energy. The rest is transformed into other forms, primarily heat, which does not help in doing the specific useful work intended. Understanding this helps clarify why efficiency is crucial in engineering and design, particularly in fields striving for sustainable technologies.
Energy Transformation
Energy transformation involves the change of energy from one form to another. For example, in a piezoelectric device, mechanical energy is transformed into electrical energy.

The efficiency of an energy transformation reflects how much of the input energy is converted into the desired form. The remaining energy is often transformed into less useful forms, like heat.

Every transformation involves some energy becoming less useful, but not disappearing. Recognizing these conversions helps in designing systems that maximize useful energy output. For instance, improvements in materials and engineering can increase the efficiency of piezoelectric devices.

Overall, understanding energy transformation is essential for developing smarter and more energy-efficient technologies, crucial for reducing our ecological footprint and creating a more sustainable future.

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Most popular questions from this chapter

A parallel plate capacitor has a capacitance of C=10pF. The plates have area 0.025 cm2. A dielectric layer of thickness dthick =0.01 mm separates the plates. For the dielectric layer, calculate the permittivity ϵ, the relative permittivity ϵr, and the electric susceptibility χe

A particular piezoelectric device has a cross sectional area of 105 m2 and an efficiency of 5%. When a stress of 1640Nm2 is applied to the device, it oscillates with an average velocity of 0.01ms. Calculate the power that can be generated from the device.

A parallel plate capacitor has a capacitance of 3μF. (a) Suppose another capacitor is made using the same dielectric material and with the same cross sectional area. However, the thickness of the dielectric between the plates of the capacitor is double that of the original capacitor. What is its capacitance? (b) Suppose a third capacitor is made with the same cross sectional area and thickness as the first capacitor, but from a material with twice the permittivity. What is its capacitance?

A cylindrical sandwich cookie has a radius of 0.75 in. The cookie is made from two wafers, each of thickness 0.15 in, which are perfect dielectrics of relative permittivity ϵr=2.8. Between the wafers is a layer of cream filling of thickness 0.1 in which is a perfect dielectric of relative permittivity ϵr=2.2. Find the overall capacitance of the cookie. Hint: Capacitances in series combine as 11C1+1C2.

A particular piezoelectric device has a cross sectional area of 105 m2. When a stress of 800Nm2 is applied, the device compresses by 10μm. Under these conditions, the device can generate 2.4109 J. Calculate the efficiency of the device.

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