What Is the Source Voltage and Additional Resistance for Power Efficiency?

In summary, the supply voltage for a non-ideal voltage source supplying 250mA of current to a load resistance of 3.3kOhms is 877.6V with a power efficiency of 94%. To limit the current drawn from the supply to 200mA, an additional resistance of 878 ohms must be added to the circuit, resulting in a new power efficiency of 90.3%.
  • #1
Kobayashi
22
0
A non-ideal voltage source supplies current of 250mA to load resistance of 3.3kOhms.
What is the magnitude of the source voltage if the power efficiency is 94%.
Also calculate the value of the additional resistance which must be added to the circuit to limit the current drawn from the supply to 200mA and calculate the new power efficiency (PL/PS).

So far I think I have worked out the supply voltage:
V=IR, (250mA)*(3300)Ohms, To get 825V

(825/94%)*100=877.6V

How to I carry on with this problem to find internal resistance and the new power effieciency. Please help. Thanks.
 
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  • #2
internal resistance = (877.6 - 825 ) / 250 = 0.21 K =210 ohms
 
  • #3
"So far I think I have worked out the supply voltage:
V=IR, (250mA)*(3300)Ohms, To get 825V"

In your equation, what units should I and R be inorder to get V in volts?

Now what resistance would you need to add to get I=200mA?
 
  • #4
If current I is in milliamperes, resistance R must be in kilo-ohms to get Volts.
or
If current I is in amperes, resistance R must be in ohms to get Volts.

Total resistance R, required in the circuit to limit current to 200 mA is given by R = V / I.

R ( total ) = 877.6 volts / 200 mA = 4.388 kilo-ohms = 4388 ohms.

Additional resistance required = R ( total ) - internal resistance - resistance already
available in the circuit

= 4388 - 210 - 3300 = 878 ohms
 

FAQ: What Is the Source Voltage and Additional Resistance for Power Efficiency?

What is power efficiency?

Power efficiency refers to the measure of how well a device or system converts energy input into useful output. It is a measure of how much energy is wasted in the process of performing a specific task.

Why is power efficiency important?

Power efficiency is important because it directly affects the energy consumption and cost of operating a device or system. Higher power efficiency means less energy is wasted, resulting in lower energy bills and a smaller environmental impact.

How is power efficiency calculated?

Power efficiency is calculated by dividing the useful output power by the total input power. This is usually expressed as a percentage, with higher percentages indicating higher efficiency.

What are some factors that affect power efficiency?

Factors that affect power efficiency include the design and quality of components, operating conditions, and maintenance practices. Environmental factors such as temperature and humidity can also impact efficiency.

How can power efficiency be improved?

Power efficiency can be improved through various methods such as upgrading to more efficient components, optimizing operating conditions, and implementing regular maintenance and energy management practices. The use of renewable energy sources can also greatly improve power efficiency.

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