Current Dividing in an Electrical Circuit

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Homework Help Overview

The discussion revolves around an electrical circuit containing a 7.5V d.c. power supply and three resistors with a total resistance of 30 ohms. Participants are exploring the current distribution among the resistors, particularly questioning why the largest current is observed in the 18 ohm resistor.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between resistance and current, noting that lower resistance typically results in higher current. Questions arise regarding the flow of current through the resistors and the implications of their arrangement in the circuit.

Discussion Status

The conversation is ongoing, with participants providing insights into the behavior of current in relation to resistance. Some have clarified that all current from the power supply passes through the 18 ohm resistor before branching out, while others are questioning the assumptions about current distribution in parallel resistors.

Contextual Notes

Participants are considering the implications of the circuit's configuration, including the potential differences across resistors and the nature of current division in parallel connections. There is an acknowledgment of the need for further exploration of these concepts.

Muhammad Danish
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A circuit contains a 7.5V d.c power supply and three resistors. The total resistance of the circuit is 30 ohms. Why will the largest current in the 18 ohm resistor? As far as I know is that the smallest current will be in 60 ohm resistor because it has the maximum resistance. Please explain.
Thanks.
(regards)
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Hi,

I don't see a contradiction in your statements: All the current that the supply delivers to the circuit will have to go through the 18 ##\Omega## resistor. And yes, the 60 ##\Omega## resistor will have a smaller amount of current than the 15 ##\Omega## resistor.
 
BvU said:
Hi,

I don't see a contradiction in your statements: All the current that the supply delivers to the circuit will have to go through the 18 ##\Omega## resistor. And yes, the 60 ##\Omega## resistor will have a smaller amount of current than the 15 ##\Omega## resistor.
Why won't the largest amount of current pass through 15 ohm resistor? Because lower the resistance, higher will be the current..
 
Current flows from high potential (voltage) -- the + of the power supply -- to low potential -- the ##-## of the power supply. On its path it has to go through resistor 18 ##\Omega## and after that it can and will branch over the other two. From the power supply + to the other end of the 18 ##\Omega## resistor there is a potential drop.

The left sides of the 60 ##\Omega## and the 15 ##\Omega## resistors are connected by a wire. So are the right sides.
In other words: the potential difference over the 60 ##\Omega## and the 15 ##\Omega## resistors is the same.
 
BvU said:
Current flows from high potential (voltage) -- the + of the power supply -- to low potential -- the ##-## of the power supply. On its path it has to go through resistor 18 ##\Omega## and after that it can and will branch over the other two. From the power supply + to the other end of the 18 ##\Omega## resistor there is a potential drop.

The left sides of the 60 ##\Omega## and the 15 ##\Omega## resistors are connected by a wire. So are the right sides.
In other words: the potential difference over the 60 ##\Omega## and the 15 ##\Omega## resistors is the same.
Can we say that current divides as it flows into the resistors connected in parallel?
 
Yes. I used the word branching. All the current that comes into a connection point has to go out again (or else it would build up a huge potential in no time)
 

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