Calculating the current supplied battery, working out P.D....

In summary: SoI(total) = V/R1 + I(total) = V/R2 + I(total) = V/R3I(total) = V x (1/R1 + 1/R2 + 1/R3)In summary, the conversation is discussing the use of Ohm's Law and Kirchhoff's circuit laws to solve for potential difference and current in a parallel circuit. The key takeaway is that in a parallel circuit, the potential difference is the same across all resistances while the total current is the sum of individual currents.
  • #1
Meezus
57
0

Homework Statement


proxy.php?image=http%3A%2F%2Fi.imgur.com%2F3pZzg52.png

Homework Equations


Ohms Law
R-total = R1 X R2/(R1+R2)
Potential difference (V) = current (I) x resistance (R).

The Attempt at a Solution


[/B]
a) Can complete on my own.

b) Really no clue tbh, I would assume it revolves around ohms law but I'm not sure how it fits in here.

c) I believe I can just use Potential difference (V) = current (I) x resistance (R). so
3 x 0.04 = 0.12 .

d) Clueless but would assume there is a formula which revolves around parallel resistors.
 
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  • #2
Meezus said:

Homework Statement


proxy.php?image=http%3A%2F%2Fi.imgur.com%2F3pZzg52.png

Homework Equations


Ohms Law
R-total = R1 X R2/(R1+R2)
Potential difference (V) = current (I) x resistance (R).

The Attempt at a Solution


[/B]
a) Can complete on my own.

b) Really no clue tbh, I would assume it revolves around ohms law but I'm not sure how it fits in here.

c) I believe I can just use Potential difference (V) = current (I) x resistance (R). so
3 x 0.04 = 0.12 .

d) Clueless but would assume there is a formula which revolves around parallel resistors.
What is the p.d. across X? You have answered c. Put that in your diagram and see what it tells you.
 
  • #3
haruspex said:
What is the p.d. across X? You have answered c. Put that in your diagram and see what it tells you.

I'm not sure how to work out P.D without knowing the resistance?
 
  • #4
Thanks.

For b) you need one of Kirchhoff's circuit laws. In each node the sum of the entering and leaving currents must be zero. Within a continuous cable without node the current must be constant. Try to apply this law to the nodes of your circuit.

c) is correct

For d): In c) you just calculated the potential difference at resistor Y. As the cables are supposed to be without resistance, what does that mean for the potential difference at the battery as well as for the resistor X?
 
  • #5
stockzahn said:
Thanks.

For b) you need one of Kirchhoff's circuit laws. In each node the sum of the entering and leaving currents must be zero. Within a continuous cable without node the current must be constant. Try to apply this law to the nodes of your circuit.

c) is correct

For d): In c) you just calculated the potential difference at resistor Y. As the cables are supposed to be without resistance, what does that mean for the potential difference at the battery as well as for the resistor X?

for D does it mean they also have 0.12V? and then
Resistance = Voltage ÷ Current
0.12 ÷ 2 = 0.06
 
  • #6
Meezus said:
for D does it mean they also have 0.12V?

Yes, it does. If the resistance of the cables is zero the potential difference in the cables ΔU = Rcable ⋅ I + 0 ⋅ I = 0. I didn't see your drawing, but I just guess how it looks like and claim: All the cables above the resistors and the battery must have the same voltage, as well as all the cables below.
 
  • #7
Use this logic
When there is a circuit of parallel:
V is same across all resistance . So ultimately current will vary with resistance.
Total current = current across resistor 1 + current across resistor 2
 

FAQ: Calculating the current supplied battery, working out P.D....

How do I calculate the current supplied by a battery?

The current supplied by a battery can be calculated using Ohm's Law, which states that current (I) is equal to the voltage (V) divided by the resistance (R). This can be represented by the equation I = V/R. So, to calculate the current, you need to know the voltage of the battery and the resistance of the circuit.

How do I work out the potential difference (P.D.)?

To calculate the potential difference (P.D.), you need to know the voltage of the battery and the resistance of the circuit. You can then use Ohm's Law, which states that P.D. is equal to the current (I) multiplied by the resistance (R). This can be represented by the equation P.D. = I x R.

Do I need to consider the internal resistance of the battery when calculating current and P.D.?

Yes, the internal resistance of a battery should be taken into account when calculating current and P.D. Internal resistance is the resistance within the battery itself, and it can affect the flow of current and the voltage output. To get an accurate calculation, the internal resistance should be included in the overall resistance of the circuit.

Can I use different units for calculating current and P.D.?

Yes, you can use different units for calculating current and P.D. as long as they are consistent. For example, if you use volts (V) for P.D., then the resistance should be in ohms (Ω) and the current will be in amperes (A).

How does the length and thickness of a wire affect the current and P.D.?

The length and thickness of a wire can affect the current and P.D. through the wire. A longer wire will have a higher resistance, which means that there will be a lower current and P.D. A thicker wire will have a lower resistance, resulting in a higher current and P.D. This is because the thickness of the wire affects the amount of space available for electrons to flow, and the longer the wire, the more space the electrons have to travel, resulting in a higher resistance.

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