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

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The source voltage for a non-ideal voltage source supplying 250mA to a 3.3kOhm load resistance, with a power efficiency of 94%, is calculated to be approximately 877.6V. The internal resistance of the circuit is determined to be 210 ohms. To limit the current to 200mA, the total resistance required is 4.388kOhms, leading to an additional resistance of 878 ohms needed in the circuit. The calculations emphasize the importance of understanding the relationship between voltage, current, and resistance for power efficiency. This discussion highlights the critical calculations necessary for optimizing circuit performance.
Kobayashi
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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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internal resistance = (877.6 - 825 ) / 250 = 0.21 K =210 ohms
 
"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?
 
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
 
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