Current Dividing in an Electrical Circuit

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SUMMARY

The discussion centers on current division in an electrical circuit containing a 7.5V DC power supply and three resistors: 18 ohms, 15 ohms, and 60 ohms. The largest current flows through the 18 ohm resistor due to its position in the circuit, as all current from the power supply must pass through it before branching to the other resistors. The 60 ohm resistor experiences the smallest current because it has the highest resistance, confirming that current divides inversely with resistance in parallel circuits.

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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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