Electric Circuit Homework: Parallel & Series Heating Power

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SUMMARY

The discussion centers on calculating the total heating power of two electric radiators, each rated at 750 W, when connected in parallel and in series to a 230 V supply. When connected in parallel, the total heating power is 1500 W, as the voltage remains constant and the current doubles. In contrast, when connected in series, the total heating power remains at 750 W, as the voltage is divided between the two radiators. The key equations used include P = VI and the relationship between current and power.

PREREQUISITES
  • Understanding of electrical power calculations (P = VI)
  • Knowledge of series and parallel circuit configurations
  • Familiarity with Ohm's Law
  • Basic concepts of resistors and their behavior in circuits
NEXT STEPS
  • Study the effects of connecting resistors in series and parallel configurations
  • Learn about the implications of voltage and current in electrical circuits
  • Explore advanced power calculations in AC circuits
  • Investigate the thermal properties of resistive heating elements
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Students studying electrical engineering, educators teaching circuit theory, and anyone interested in understanding the principles of electrical power in heating systems.

Finland
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Homework Statement



Entrance exam question:
An electric radiator which is an ordinary constant resistor emits a heating power of 750 W at a main supply voltage of 230 V. What is the total heating power in each respective instance when two such radiators are connected a) parallel, and b) in series to the 230 V supply voltage?

Homework Equations



P = VI = I square R = V square divided by R

The Attempt at a Solution



For me, question is unclear!

Edit: is it 1500 W at parallel and 750 W at series? e.g. 115 x 3.2609 = 375 each in series, in parallel 230 x 3.2609 = 750 each?
 
Last edited:
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Finland said:

Homework Statement



Entrance exam question:
An electric radiator which is an ordinary constant resistor emits a heating power of 750 W at a main supply voltage of 230 V. What is the total heating power in each respective instance when two such radiators are connected a) parallel, and b) in series to the 230 V supply voltage?

Homework Equations



P = VI = I square R = V square divided by R

The Attempt at a Solution



For me, question is unclear!

Edit: is it 1500 W at parallel and 750 W at series? e.g. 115 x 3.2609 = 375 each in series, in parallel 230 x 3.2609 = 750 each?

Yes.

P = VI

and V is constant. So if I is double, power is double, etc.
 

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