Parallel circuit with internal resistance

In summary, four resistors with values of 10 Ohm, 7 Ohm, 6 Ohm, and 18 Ohm are connected in parallel with a supply voltage of 27V and an internal resistance of 0.5 Ohm. The total resistance of the parallel set is 2.15 Ohm, resulting in a total current of 10.2A. However, the sum of the individual currents does not equal 10.2A, which may be due to the voltage drop of 21.93V across the parallel resistors.
  • #1
dbag123
76
3
Homework Statement
Calculate current through the source
Relevant Equations
P=UI, U=RI
4 resistors R1= 10 Ohm R2= 7 Ohm R3= 6 Ohm R4 = 18 Ohm, internal resistance of source is 0,5 Ohm and supply voltage is 27V

Total resistance in parallel resistors 1/R = 0.465 taking the inverse of that i get 2,15 Ohm. Add to that the internal 0,5 and the total comes out to 2,65 Ohm.

Total current would then be U/R --> 10,2A rounded up. If it is true that in a parallel circuit the voltage stays the same, than it stands to reason that the sum of the currents should add up to 10,2 but they dont. i get a total current of 12,577 just for the 4 resistors. What is happening here?
 
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  • #2
dbag123 said:
What is happening here?
WHERE? Show a circuit diagram.
 
  • #3
1570119214640.png
 
  • #4
If the supply voltage is 27V, the internal resistance is 0.5Ω and the resistance of the parallel set is 2.15Ω, what is the voltage drop across the parallel resistors? (hint: it is not 27V)
 
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  • #5
21,93V
 
Last edited:
  • #6
And if you have a voltage drop of 21.93V across the 4 parallel resistors, what is the total current through them?
 
  • #7
10,2A
 

1. What is a parallel circuit with internal resistance?

A parallel circuit with internal resistance is a type of electrical circuit where the components are connected in parallel, meaning they are connected to the same voltage source but have separate branches. Each branch has its own internal resistance, which is the resistance within the component itself.

2. How does a parallel circuit with internal resistance work?

In a parallel circuit with internal resistance, the current splits into different branches and each branch has its own resistance. This allows the current to flow through each component independently, unlike in a series circuit where the current flows through each component in sequence.

3. What is the difference between a parallel circuit with internal resistance and a series circuit?

In a parallel circuit with internal resistance, the components are connected in parallel and each branch has its own resistance. In a series circuit, the components are connected in a sequence and the current flows through each component in that sequence.

4. What is the formula for calculating the total resistance of a parallel circuit with internal resistance?

The formula for calculating the total resistance of a parallel circuit with internal resistance is 1/Rt = 1/R1 + 1/R2 + 1/R3 +..., where Rt is the total resistance and R1, R2, R3, etc. are the individual resistances of each branch.

5. What are some real-world applications of parallel circuits with internal resistance?

Parallel circuits with internal resistance are commonly used in household electrical circuits, where multiple appliances are connected to the same power source. They are also used in electronic devices such as computers, where different components require different levels of current.

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