Find the current flowing through the 3 ohm resistor.

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Homework Help Overview

The discussion revolves around finding the current flowing through a 3 ohm resistor within a circuit that includes a 6 ohm resistor in parallel and a 10 ohm resistor in series. Participants are exploring the relationships between resistances and current flow as described by Ohm's law.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of total resistance in the circuit and the implications of the closed circuit symbol. There are attempts to compute total current and voltage drops, with questions raised about how to isolate the current through the 3 ohm resistor specifically.

Discussion Status

The conversation is active, with participants providing guidance on how to approach the problem. There is a focus on understanding the voltage across the 3 ohm resistor as a means to find the current through it, but no consensus has been reached on the specific method to achieve this.

Contextual Notes

Participants are working within the constraints of a homework assignment, which requires them to show their attempts and reasoning without directly providing solutions. There is an emphasis on understanding the circuit configuration and the relationships between components.

prakhargupta3301
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You need to show your attempt at a solution.
Have you computed the total resistance of that resistor network?
What is that -(.)- symbol?
 
The (.) means a closed key= closed circuit. THe current is flowing.
I have done this:
1/R= 1/6+1/3= 3/6= 1/2 (the 6 ohm and 3 ohm resistors are in ||)
R= 2 ohms
Now:
(2+10) ohms= 12 ohms (They are now in series)
Acc. to Ohm's law:
I= V/R
= 12/12
= 1 Ampere
Now I have found the total current in the circuit.
But I need to find the current through the 3 ohm resistor. I can't do it. Please help me find the current through the 3 ohm resistor.
 
You have 1 amp across the 3-ohm/6-ohm pair. You know the resistance of that pair, so you can compute the voltage drop across it.
Then you will know the voltage across the 3-ohm.
 
Current through the 3Ω resistor can be calculated if you know the voltage across it.
Is it possible to determine what this voltage is?
 

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