Evaluate Device Energy Efficiency
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Physics › Evaluate Device Energy Efficiency
A heat engine takes in thermal power $P_{in}=900,\text{W}$ from burning fuel and produces useful mechanical power $P_{out}=270,\text{W}$. The rest is waste heat to the surroundings. What is the engine’s efficiency (as a percentage)?
$30%$
$333%$
$3.0%$
$70%$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input power is P_in = 900 W and the useful output power is P_out = 270 W, so efficiency η = (P_out/P_in) × 100% = (270/900) × 100% = 30%. The remaining power P_waste = 900 - 270 = 630 W is lost as thermal energy, which is characteristic of heat engines where incomplete combustion and friction occur. Choice A is correct because it properly calculates efficiency as (output/input) × 100%. Choice D is wrong because it inverts the ratio calculating input/output instead of output/input, giving >100% which violates conservation. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
Two light bulbs produce light (useful) and heat (waste).
- Incandescent bulb: $P_{in}=100\ \text{W}$ electrical, $P_{out}=5\ \text{W}$ light.
- LED bulb: $P_{in}=20\ \text{W}$ electrical, $P_{out}=8\ \text{W}$ light.
Which bulb is more efficient, and by how many percentage points (LED efficiency minus incandescent efficiency)?
Incandescent by $35$ percentage points
LED by $3.5$ percentage points
LED by $35$ percentage points
Incandescent by $3.5$ percentage points
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For the incandescent bulb, the input power is P_in = 100 W and the useful output power is P_out = 5 W, so efficiency η = (5/100) × 100% = 5%; for the LED, P_in = 20 W and P_out = 8 W, so η = (8/20) × 100% = 40%. The difference is 40% - 5% = 35 percentage points, with the LED being more efficient, characteristic of bulbs where incandescent loses more to heat via filament resistance while LED is more direct in light conversion. Choice B is correct because it accurately compares efficiencies showing which device converts larger fraction. Choice A incorrectly identifies the incandescent as more efficient. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A battery charger uses $E_{in}=900\ \text{J}$ of electrical energy to store $E_{out}=810\ \text{J}$ as chemical energy in a battery. The rest is lost as heat. What is the charger’s efficiency (as a percentage)?
$90%$
$111%$
$10%$
$0.90%$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input energy is E_in = 900 J and the useful output energy is E_out = 810 J, so efficiency η = (810/900) × 100% = 90%. The remaining energy E_waste = 900 - 810 = 90 J is lost as thermal energy, which is characteristic of battery chargers where electrical resistance causes heating. Choice A is correct because it properly calculates efficiency as (output/input) × 100%. Choice C inverts the ratio calculating input/output instead of output/input, giving >100% which violates conservation. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
An electric motor has efficiency $\eta = 85%$ and takes in $P_{in}=600\ \text{W}$ of electrical power. How much useful mechanical power does it deliver, $P_{out}$?
Use $P_{out}=\eta,P_{in}$ with $\eta$ as a decimal.
$510\ \text{W}$
$0.85\ \text{W}$
$690\ \text{W}$
$90\ \text{W}$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input power is P_in = 600 W and efficiency η = 85% = 0.85, so useful output power P_out = 0.85 × 600 = 510 W. The remaining power P_waste = 600 - 510 = 90 W is lost as thermal energy, which is characteristic of electric motors where electrical resistance and friction cause heating. Choice A is correct because it properly calculates output as η × input. Choice B makes arithmetic error, possibly calculating input for a different efficiency. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A heat engine takes in $E_{in}=5000\ \text{J}$ of thermal energy from fuel and produces $E_{out}=1400\ \text{J}$ of useful mechanical work. What is the efficiency of the engine (as a percentage)?
$357%$
$72%$
$28%$
$3.6%$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input energy is E_in = 5000 J and the useful output energy is E_out = 1400 J, so efficiency η = (1400/5000) × 100% = 28%. The remaining energy E_waste = 5000 - 1400 = 3600 J is lost as thermal energy, which is characteristic of heat engines where incomplete combustion and thermodynamic limits cause losses. Choice B is correct because it properly calculates efficiency as (output/input) × 100%. Choice D inverts the ratio calculating input/output instead of output/input, giving >100% which violates conservation. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A solar panel receives $E_{in}=2000\ \text{J}$ of solar radiation in a short time interval and produces $E_{out}=320\ \text{J}$ of electrical energy. The rest becomes thermal energy in the panel. How much energy is lost as waste heat, $E_{lost}$?
Use $E_{in}=E_{out}+E_{lost}$.
$320\ \text{J}$
$2320\ \text{J}$
$1680\ \text{J}$
$620\ \text{J}$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input energy is E_in = 2000 J and the useful output energy is E_out = 320 J, so efficiency η = (320/2000) × 100% = 16%. The remaining energy E_waste = 2000 - 320 = 1680 J is lost as thermal energy, which is characteristic of solar panels where incomplete absorption and conversion losses cause heating. Choice A is correct because it correctly identifies waste energy as E_in - E_out. Choice B incorrectly adds energies instead of subtracting to find waste. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A battery charging system stores $E_{out}=760\ \text{J}$ of chemical energy while $E_{in}=800\ \text{J}$ of electrical energy is supplied. What fraction of the input energy is wasted (lost as heat), expressed as a percentage of the input?
$105%$
$5%$
$95%$
$40%$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input energy is E_in = 800 J and the useful output energy is E_out = 760 J, so efficiency η = (760/800) × 100% = 95%. The remaining energy E_waste = 800 - 760 = 40 J is lost as thermal energy, which is characteristic of battery chargers where electrical resistance causes heating, and the waste fraction is (40/800) × 100% = 5%. Choice A is correct because it properly calculates the waste fraction as ((input - output)/input) × 100%. Choice C incorrectly states the efficiency instead of the waste percentage. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A solar panel converts $18%$ of incoming solar energy into electrical energy. If $E_{in}=2500\ \text{J}$ of solar energy strikes the panel, how much electrical energy is produced, $E_{out}$?
$13,889\ \text{J}$
$2000\ \text{J}$
$318\ \text{J}$
$450\ \text{J}$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input energy is E_in = 2500 J and efficiency η = 18% = 0.18, so useful output energy E_out = 0.18 × 2500 = 450 J. The remaining energy E_waste = 2500 - 450 = 2050 J is lost as thermal energy, which is characteristic of solar panels where incomplete absorption and conversion losses cause heating. Choice A is correct because it properly calculates output as η × input. Choice D inverts the ratio, calculating input / η which is incorrect for output. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
A heat engine produces useful work at a rate of $P_{out}=300\ \text{W}$ while taking in thermal power $P_{in}=1200\ \text{W}$. The remainder is rejected as waste heat. What is the waste power $P_{lost}$?
$1500\ \text{W}$
$400\ \text{W}$
$25%$
$900\ \text{W}$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as η = (useful energy output / total energy input) × 100%, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved (E_input = E_useful + E_waste), but not all input energy converts to the desired useful form. For this device, the input power is P_in = 1200 W and the useful output power is P_out = 300 W, so efficiency η = (300/1200) × 100% = 25%. The remaining power P_waste = 1200 - 300 = 900 W is lost as thermal energy, which is characteristic of heat engines where incomplete combustion and thermodynamic limits cause losses. Choice A is correct because it correctly identifies waste power as P_in - P_out. Choice B incorrectly adds powers instead of subtracting to find waste. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute η = (output/input) × 100%, (4) verify η between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).
An electric motor takes in electrical power $P_{in} = 500 , \text{W}$ and delivers useful mechanical power $P_{out} = 400 , \text{W}$. The rest is lost as thermal energy in the motor. What is the motor’s efficiency (as a percentage)?
Use $\eta = \dfrac{P_{out}}{P_{in}} \times 100%$
$125%$
$20%$
$80%$
$0.80%$
Explanation
This question tests understanding of energy efficiency in devices that convert energy from one form to another. Efficiency is defined as $η = \dfrac{\text{useful energy output}}{\text{total energy input}} \times 100%$, and no real device achieves 100% efficiency because some energy is always lost (usually as waste heat) due to friction, electrical resistance, or incomplete combustion—energy is conserved ($E_{\text{input}} = E_{\text{useful}} + E_{\text{waste}}$), but not all input energy converts to the desired useful form. For this device, the input power is $P_{\text{in}} = 500 \ \text{W}$ and the useful output power is $P_{\text{out}} = 400 \ \text{W}$, so efficiency $η = \dfrac{400}{500} \times 100% = 80%$. The remaining power $P_{\text{waste}} = 500 - 400 = 100 \ \text{W}$ is lost as thermal energy, which is characteristic of electric motors where electrical resistance and friction cause heating. Choice C is correct because it properly calculates efficiency as $(\text{output}/\text{input}) \times 100%$. Choice A inverts the ratio calculating input/output instead of output/input, giving $>100%$ which violates conservation. To calculate efficiency: (1) identify useful output energy/power, (2) identify total input energy/power, (3) compute $η = (\text{output}/\text{input}) \times 100%$, (4) verify $η$ between 0-100%, (5) waste energy = input - output. Higher efficiency means more input converts to useful output, less wasted. No device achieves 100% due to unavoidable losses (friction, resistance, etc.).