Difference between lights connected in series and parallel

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Homework Help Overview

The discussion revolves around the comparison of light bulbs connected in series versus parallel configurations, specifically focusing on their brightness and power consumption when connected to the same battery.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between voltage, current, and power in determining the brightness of light bulbs. Questions are raised about how these factors differ in series and parallel connections.

Discussion Status

Some participants have provided insights into the power equations and how voltage and current behave in different circuit configurations. There is an acknowledgment of the reasoning behind why bulbs connected in parallel may be brighter, but the discussion remains open without a definitive conclusion.

Contextual Notes

Participants are considering the implications of constant resistance in the bulbs and how this affects the distribution of voltage and current in series versus parallel setups. There is an emphasis on understanding the underlying principles rather than reaching a final answer.

prishila
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Homework Statement



When two same lamps are connected with the same battery. Their lighting will be greater when they are connected in series or parallel?

Homework Equations


Series U=U1+U2+U3+...
I=I1=I2=I3...
Parallel U=U1=U2=U3...
I=I1+I2+I3+...

The Attempt at a Solution


The answer is when they are connected in parallel. But why?
Is it related to the tension or intensity or power?
 
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In a very simple view, the brightness of a light bulb is proportional to the power it consumes. The power is determined by the voltage across the bulb and the current through it: ##P = V I##.

If you assume that the bulb has a constant resistance (again, a simple view), then Ohm's Law tells you that the current through it is related to the voltage across it by ##I = V/R##.

Use your knowledge of how voltage and current are distributed among components in series and parallel circuits.
 
gneill said:
In a very simple view, the brightness of a light bulb is proportional to the power it consumes. The power is determined by the voltage across the bulb and the current through it: ##P = V I##.

If you assume that the bulb has a constant resistance (again, a simple view), then Ohm's Law tells you that the current through it is related to the voltage across it by ##I = V/R##.

Use your knowledge of how voltage and current are distributed among components in series and parallel circuits.
So we can write P=U^2/R
U is the same in each resistance in parallel, but it divides in resistances in series. So it is greater in resistances in parallel. This way P is greater when they are connected in parallel. Am I right?
 
prishila said:
So we can write P=U^2/R
U is the same in each resistance in parallel, but it divides in resistances in series. So it is greater in resistances in parallel. This way P is greater when they are connected in parallel. Am I right?
Yes, that's a correct analysis.
 

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