Curent and ohm's law-potential difference

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Homework Help Overview

The discussion revolves around determining the potential difference across two resistors in a circuit involving a 15 V battery. The resistors, rated at 10 ohms and 20 ohms, are initially described as being in parallel, prompting questions about their configuration and the application of Ohm's Law.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the configuration of the circuit, questioning whether the resistors are in parallel or series. There is an attempt to apply Ohm's Law, but confusion arises regarding the calculation of current and the implications of the battery's voltage.

Discussion Status

The discussion is active, with participants clarifying the circuit's configuration and attempting to reconcile their understanding of series and parallel connections. Some guidance has been offered regarding the need to determine total resistance before calculating current, though no consensus has been reached on the correct interpretation of the circuit.

Contextual Notes

Participants are working with a diagram that is not visible in the thread, leading to potential misunderstandings about the arrangement of components. There is also an acknowledgment of the need to adhere to homework guidelines, which may limit the information shared.

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curent and ohm's law--potential difference

Homework Statement



What is the potential difference across the 10 ohm resistor in the figure ?
What is the potential difference across the 20 ohm resistor in the figure?
The two resistors are in parallel and there is a battery that is 15 V.

Homework Equations


V=IR


The Attempt at a Solution


I think it should be relatively straightfoward, but I can't figure out how to solve for I so that I can solve for V.
 
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smoics said:
What is the potential difference across the 10 ohm resistor in the figure ?
What is the potential difference across the 20 ohm resistor in the figure?
The two resistors are in parallel and there is a battery that is 15 V.

Do you mean that all three components are in parallel (the battery in parallel with both resistors)? If so, how can the potential difference be anything other than what the battery produces? An ideal voltage source produces any amount of current required to maintain its potential difference.
 


Oops--yes, they are in parallel. I tried using the battery voltage (15 V), but it says that answer is incorrect.
 

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Or would the one resistor be in series since it's along a different line (horizontal vs. vertical)? That isn't how they draw the examples of series vs. parallel, but I'm thinking there's one of each in this circuit.
 


If that diagram is your circuit then all three components are in series. There are none in parallel.

Series versus parallel does not depend upon whether the components are drawn vertically or horizontally. It is strictly a matter of how their terminal leads are interconnected.

Two components in series means that one lead from each component is connected together with NO OTHER component sharing that connection. The other leads of the components go to different nodes in the circuit.

Two components in parallel mean that both leads from both component share common connections (they are pairwise connected).

Since you circuit show a series connection, you should work out what the current will be in the circuit. To do that, first determine the total resistance for the series connected pair.
 


Oh...use the total R and voltage to solve for current and then use the equation I had posted above. Got it, thanks!
 

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