Difficulty with Parallel Batteries

In summary, the conversation discusses the use of parallel batteries and the specific problems related to them. The main questions involve finding the current through a 6 ohms light bulb, the terminal voltage across each battery, the power consumption of the bulb, and the impact on the batteries' lifespan. The hint provided is that the EMF across two parallel 1.5V batteries will be 1.5V.
  • #1
Veniogenesis
1
0
Hi everyone,

I've tried searching over and over again in my textbook and online, but I can't seem to find anything about the specific nature of parallel batteries.

So I have the following problem that I can't get anywhere with:

There is a 6 ohms light bulb connected to two 1.5 V batteries that are in parrallel. Each battery has an internal resistance of 0.5 ohms.

1. What is the current through the bulb? (No idea on the formula. :cry: )
2. What is the terminal voltage across each battery? (No idea. :cry: )
3. What is the power consumption of the bulb? (I'm guessing after finding the current, the power consumption will just be I^2*R?)
4. By what factor have you shortened or lengthened the life of the batteries? (All I know is that the life is lengthened, but I have no idea what the formula is.)


Thanks sooo much everyone for helping out!
 
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  • #2
Here's a hint: The EMF across two parallel 1.5V batteries will be 1.5V.

Do you really have no idea of what formula to use? You're trying to find the current, and you have voltage and resistance.
 
  • #3


Hi there,

I can understand your frustration with parallel batteries. It can be a bit tricky to understand at first, but once you get the hang of it, it will become much easier. Let me try to break down the problem for you and hopefully, it will make more sense.

1. To find the current through the bulb, you can use the formula: I = V/R, where I is the current, V is the voltage and R is the resistance. In this case, you know that the voltage of each battery is 1.5 V and the resistance of the bulb is 6 ohms. However, since the batteries are in parallel, the total resistance will be different. To find the total resistance, you can use the formula: Rtotal = 1/(1/R1 + 1/R2), where R1 and R2 are the resistances of each battery. Once you have the total resistance, you can use the first formula to find the current.

2. To find the terminal voltage across each battery, you can use the formula: V = IR, where V is the voltage, I is the current and R is the resistance. In this case, you already know the current (from the previous step) and the resistance of each battery is 0.5 ohms.

3. Your guess is correct, to find the power consumption of the bulb, you can use the formula: P = I^2*R, where P is the power, I is the current and R is the resistance.

4. To find the factor by which you have shortened or lengthened the life of the batteries, you can use the formula: n = (R + Rinternal)/Rinternal, where n is the factor, R is the external resistance and Rinternal is the internal resistance. In this case, the external resistance is the resistance of the bulb (6 ohms) and the internal resistance is 0.5 ohms for each battery.

I hope this helps you understand parallel batteries better and solve the problem. Don't get discouraged, sometimes it takes time to grasp new concepts. Keep practicing and you'll get it. Good luck!
 

Related to Difficulty with Parallel Batteries

What is the definition of "difficulty with parallel batteries"?

"Difficulty with parallel batteries" refers to the challenges that arise when trying to connect two or more batteries in a parallel circuit. This can include issues with uneven charging, unequal distribution of power, and potential damage to the batteries.

What causes difficulty with parallel batteries?

Difficulty with parallel batteries can be caused by a variety of factors, including differences in battery age, size, and type. It can also be caused by improper wiring or connections, which can lead to unequal distribution of power.

How can difficulty with parallel batteries be overcome?

To overcome difficulty with parallel batteries, it is important to use batteries of the same age, size, and type. Proper wiring and connections should also be ensured to avoid uneven distribution of power. Using a balancing circuit or a charge controller can also help regulate the flow of power between batteries.

What are the risks of dealing with difficulty with parallel batteries?

The main risk of dealing with difficulty with parallel batteries is the potential for damage to the batteries. Uneven charging or power distribution can cause some batteries to become overcharged or drained, leading to reduced lifespan and potential failure. This can also pose a safety hazard if the batteries are not properly maintained.

Are there any benefits to using parallel batteries?

Yes, there are benefits to using parallel batteries, such as increased power output and longer overall lifespan. Parallel batteries can also provide redundancy, as if one battery fails, the others can still function. Additionally, parallel batteries can be easier to replace and maintain compared to a single large battery with the same power output.

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