Calculating Current in Parallel Resistor Circuit

In summary, the two batteries have different emf levels, so the current through the resistor is indeterminate. If you know the internal resistance of the batteries, you can solve the circuit.
  • #1
casanova2528
52
0
v1 of battery1 is higher than v2 of battery2

The circuit is arranged in a parallel way with 3 layers where the only
Resistor is in the middle layer.
battery1 is on the top layer and the only resistor is on middle layer
Battery2 is on bottom layer.
The terminals of the battery is not facing each other.It appears like the batteries are arranged in series, but
It is not! How does one calculate the current on resistor?
Does all the current from battery1 skip the resistor on the middle layer
And go to the negative terminal of the battery2 on third level?
 
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  • #2
Can you post a diagram? I can't picture this circuit from the verbal description.
 
  • #3
redbelly98 said:
can you post a diagram? I can't picture this circuit from the verbal description.

|----1(+ -)----|
|-----R1-------|
|----2(- +)----|there it is. battery 1 has a higher emf than battery 2. how does one figure out the current through resistor1?
 
  • #4
You have to know the internal resistance of the batteries.
 
  • #5
Something is wrong here. It could be we need to know the batteries' internal resistance, as The Electrician said.

Or (if we assume ideal batteries with zero resistance) 2 points that must be at different potentials (because of the batteries) must also be at the same potential (because they are shorted together). That makes the problem unsolveable, or suggests the diagram is incorrect.
 
  • #6
Redbelly98 said:
Something is wrong here. It could be we need to know the batteries' internal resistance, as The Electrician said.

Or (if we assume ideal batteries with zero resistance) 2 points that must be at different potentials (because of the batteries) must also be at the same potential (because they are shorted together). That makes the problem unsolveable, or suggests the diagram is incorrect.

the diagram is correct. it is a diagram that i made from another problem that was solvable. I was wondering if this diagram is solvable. the batteries are ideal.

so, what else happens beside the circuit being shorted?
 
Last edited:
  • #7
there must be a way to figure out the small amount of current through resistor1.
 
  • #8
If you know the internal resistance of the batteries, then you can figure out the current through the resistor.

In the conceptual diagram you gave, the batteries are mathematically ideal. If you connect them as shown, then an infinite current will circulate in the batteries and the current in the resistor will be indeterminate.

Imagine if a small resistor were in series with each battery. Then the circuit could be easily solved. Real batteries do in fact behave as if there were a small resistor inside them; its value changes with temperature and state of charge of the batteries. But if you can get an approximate value for the internal resistance, then you can solve the network.
 

1. How do you calculate the total current in a parallel resistor circuit?

To calculate the total current in a parallel resistor circuit, you can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). In a parallel circuit, the total resistance is equal to the reciprocal of the sum of the reciprocals of each individual resistance. So, the formula for calculating total current in a parallel resistor circuit is I = V / (1/ R1 + 1/R2 + 1/R3 + ...).

2. What is the difference between series and parallel resistor circuits?

In a series circuit, all components are connected in a single loop, whereas in a parallel circuit, the components are connected in multiple branches. In a series circuit, the current is the same throughout the circuit, while in a parallel circuit, the current is divided among the different branches. Additionally, in a series circuit, the total resistance is equal to the sum of individual resistances, while in a parallel circuit, the total resistance is less than the smallest individual resistance.

3. How do you calculate the equivalent resistance in a parallel resistor circuit?

To calculate the equivalent resistance in a parallel resistor circuit, you need to use the formula 1/Req = 1/R1 + 1/R2 + 1/R3 + ..., where Req is the equivalent resistance and R1, R2, R3, etc. are the individual resistances. Once you have calculated the equivalent resistance, you can use Ohm's Law (I = V / R) to find the total current in the circuit.

4. Can you have a parallel resistor circuit with only two resistors?

Yes, a parallel resistor circuit can have two resistors. In fact, a circuit with only two resistors is the simplest form of a parallel circuit. In this case, the equivalent resistance can be calculated using the formula Req = (R1 x R2) / (R1 + R2).

5. What happens to the overall current in a parallel resistor circuit if one of the resistors is removed?

If one of the resistors in a parallel circuit is removed, the overall current will increase. This is because with one less resistor, the total resistance in the circuit decreases, causing an increase in the current. Additionally, the current in the remaining resistors will also increase, as the same amount of current is now being divided among fewer resistors.

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