Calculating Battery Current in a Parallel-Series Circuit with Resistances

In summary, the problem involves three resistances of 4, 6, and 12 ohms connected in parallel and then connected in series with a 4V battery with an internal resistance of 2 ohms. The battery current can be found using the formula I = E/R, where R is the equivalent resistance of the parallel combination of resistances and the internal resistance of the battery. The equivalent resistance is calculated by taking the reciprocal of the sum of the reciprocals of each individual resistance. The final answer is 2A.
  • #1
kevindesai777
2
0

Homework Statement


Three resistances of 4,6,12 ohms are connected in parallel and the combination is connected in series with a 4V battery with internal resistance 2 ohms The battery current is what


Homework Equations


No relevant question.


[b]3. The Attempt at a Solution [/b]
I don't know
 
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  • #2
replace parallel or series combinations of resistances by their equivalent until you have only 1 resistance left.
 
  • #3
I = [tex]\frac{E}{R}[/tex] = [tex]\frac{4V}{Ri+(R1||R2||R3)}[/tex] = [tex]\frac{4V}{2 ohm + (\frac{1}{4 ohm}+\frac{1}{6 ohm}+\frac{1}{12 ohm})}[/tex] = [tex]\frac{4V}{2 ohm}[/tex] = 2A
 
  • #4
What happened to this? [tex] (\frac{1}{4 ohm}+\frac{1}{6 ohm}+\frac{1}{12 ohm}) [/tex]
 
  • #5
dreamspace said:
I = [tex]\frac{E}{R}[/tex] = [tex]\frac{4V}{Ri+(R1||R2||R3)}[/tex] = [tex]\frac{4V}{2 ohm + (\frac{1}{4 ohm}+\frac{1}{6 ohm}+\frac{1}{12 ohm})}[/tex] = [tex]\frac{4V}{2 ohm}[/tex] = 2A

thank u
 
  • #6
I didn't notice it the first time but (R1||R2||R3) =

[tex]
1 / (\frac{1}{4 ohm}+\frac{1}{6 ohm}+\frac{1}{12 ohm})
[/tex]

The answer is still right.
 

What is current electricity?

Current electricity is the flow of electric charge through a conductive material such as a wire. It is caused by the movement of electrons, the negatively charged particles within an atom. It is measured in units of amperes (A) and is essential for powering our modern society.

What is the difference between AC and DC currents?

AC (alternating current) and DC (direct current) are the two main types of current electricity. The main difference between them is the direction of the flow of electrons. In AC, the direction of the flow of electrons reverses periodically, while in DC, it flows in one direction only. AC is used for transmitting electricity over long distances, while DC is used for electronic devices.

How is current electricity generated?

Electricity can be generated through various methods, such as burning fossil fuels, nuclear reactions, and renewable sources like solar and wind power. These processes produce the movement of electrons, creating an electric current that can be harnessed for our use.

What factors affect the flow of electric current?

The flow of electric current is affected by several factors, including the voltage (electrical pressure), the resistance of the material, and the type of conductor used. The length and thickness of the conductor also play a role in determining the amount of current that can flow through it.

How is current electricity used in everyday life?

Current electricity is used in a wide range of applications in our daily lives, such as powering our homes, transportation, and electronic devices. It is also essential for industries such as manufacturing, healthcare, and telecommunications. Without current electricity, many aspects of modern life would not be possible.

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