Solving Kirchoff's Rules Homework: Questions on Dimmer/Normal/On/Off

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Homework Help Overview

The discussion revolves around applying Kirchhoff's Rules to a circuit problem involving different states of a dimmer switch and the behavior of lamps in relation to battery configurations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the reasoning behind the states of the circuit components, particularly why certain configurations yield specific results. Some participants suggest alternative methods to analyze the circuit, such as combining resistors and voltage sources, rather than relying solely on Kirchhoff's Laws.

Discussion Status

Participants are exploring different interpretations of the circuit behavior, with some providing insights into voltage relationships and current flow. There is an ongoing exchange of ideas, but no explicit consensus has been reached regarding the best approach to solve the problem.

Contextual Notes

The original poster expresses confusion over the teacher's explanations and the implications of circuit configurations, indicating a potential gap in understanding the application of Kirchhoff's Laws in this context.

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Homework Statement



kirchoff.jpg


Homework Equations



Kirchoff's Rules

The Attempt at a Solution



hey there!

i'm having trouble with parts of the question above;

for the first two
a: dimmer, b: normal.

however for c & d I'm confused, I did ask my teacher however he wasn't helpful at all, he told me that c would be normal and d would be "off" however I really don't understand why. I think it might be due to kirchhoffs law's however again i find it difficult to understand, could anyone tell me why d wouldn't be on?

i also encounter the same problem with g & h, i guess I'm not sure how to treat it when there's a line between the batteries.

any help would be appreciated
 
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I wouldn't use Kirchhoff's laws to solve this problem. I would use the rules for combining resistors and combining voltage sources into series and parallel combinations. It's really a problem to solve by inspection,with no arithmetic. But if you want to solve it with Kircchhoff's laws, write down the equations.
 
Can you see that in the second diagram the voltage at a point between the two batteries is the same as that between the two lamps, relative to either end of the two battery string?

So, if you have two places with no voltage between them, you will not get a current to flow if you put a wire between them? And you won't get a lamp to glow either?

In the last diagram, this is the case, too, but since the wire in the middle can't be carrying a current, you can ignore it or just remove it.
 
Last edited:
vk6kro said:
Can you see that in the second diagram the voltage at a point between the two batteries is the same as that between the two lamps, relative to either end of the two battery string?

So, if you have two places with no voltage between them, you will not get a current to flow if you put a wire between them? And you won't get a lamp to glow either?

In the last diagram, this is the case, too, but since the wire in the middle can't be carrying a current, you can ignore it or just remove it.

that's a great explanation, much obliged sir
 

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