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

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Discussion Overview

The discussion revolves around calculating the source voltage and additional resistance needed for power efficiency in an electrical circuit. It involves theoretical calculations related to voltage, current, resistance, and power efficiency, with a focus on both the initial conditions and adjustments to the circuit parameters.

Discussion Character

  • Mathematical reasoning
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant calculates the supply voltage to be 877.6V based on a current of 250mA and a load resistance of 3.3kOhms, aiming for a power efficiency of 94%.
  • Another participant provides a calculation for internal resistance, arriving at a value of 210 ohms.
  • A participant questions the units used in the voltage calculation, prompting clarification on the relationship between current and resistance units.
  • One participant derives the total resistance required to limit the current to 200mA as 4.388kOhms and calculates the additional resistance needed to be 878 ohms after accounting for internal and existing resistances.

Areas of Agreement / Disagreement

Participants present various calculations and clarifications, but there is no explicit consensus on the correctness of each calculation or the methodology used. The discussion remains unresolved regarding the final values and their implications.

Contextual Notes

Participants express uncertainty about unit conversions and the implications of their calculations on the overall circuit design. Some assumptions about ideal versus non-ideal components may not be fully addressed.

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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