Which resistor dissipates the most energy per second
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Below is a simple circuit with a voltage source, and resistor. Below are the list of steps required to find the power dissipation of the resistor R1 in the circuit above: Find the total current in the circuit Find the voltage across the resistor using the current value since this is a series circuit, the current is the same throughout the whole circuit After the voltage is found across the resistor, use that voltage and value of resistor R1 to find the Power dissipated by the resistor.
STEP 1: First we need to find the total current in the circuit. STEP 2: Now that we have the total current in the circuit since this is a series circuit where current is the same throughout the circuit , we can calculate the voltage across the resistor. This tells us that there is voltage drop of 5 volts across resistor R 1.
This is the value of how much power the resistor dissipates in the circuit in question. Why a smaller resistor dissipates more power From the example above we saw that a 10 ohm resistor dissipates 2.
What happens to the amount of power dissipated across the resistor? The value of power now increases from 2. An increase in R will see a decrease in P, and a decrease in R will result in an increase in P. Due to this there is greater power dissipation in the form of heat loss. Do bigger resistors dissipate more power that smaller resistors?
Do all resistors dissipate the same amount of power? The simple answer is no. All resistors dissipate different amounts of power. Power rating of a resistor So, every resistor dissipates different amounts of power. Lucky for us, this value is given to us.
Exceeding the maximum power rating of the resistor will cause it to be damaged. Does a resistor dissipate more power in series or parallel? So, does a resistor dissipate more power in series or parallel? But I thought back to messing around with resistors and batteries, where I remember that if I attached a much lower resistance to a battery, it would begin to heat up much faster than a bigger resistor.
Fist consider a "voltage supply". What does "voltage supply" even mean? A voltage supply is supposed to output a fixed voltage no matter what we connect it to. Is this even possible? Suppose we connect the two terminals of the voltage supply together through a piece of wire, i. If this is a 9 Volt battery and my resistor is 0. A 9 Volt battery most certainly cannot output 90 Amps.
In other words, the internal resistance sets a maximum output current. This is the result to remember: the power dissipated in the load is maximized when the load resistance is matched to the source's own internal resistance.
Now, any circuit you would reasonably call a "voltage source" must have a low internal resistance compared to typical load resistances. If it didn't then the voltage accross the load would depend on the load resistance, which would mean your source isn't doing a good job of being a fixed voltage source. So, because "voltage sources" have low output resistance, and because we showed that the power is maximized when the load resistance matches the source resistance, you will observe that the load gets hotter if it's low resistance.
This is why you found that with batteries, which are designed to be voltage sources, the lower resistance loads got hotter. Current sources are the other way around.
They're designed for high internal resistance so you get a hotter load for a higher load resistance. It depends on if your power supply is constant voltage or constant current. These three resistors are connected to a voltage source so that R 2 and R 3 are in parallel with one another and that combination is in series with R 1. To find the total resistance, we note that R 2 and R 3 are in parallel and their combination R p is in series with R 1. Thus the total equivalent resistance of this combination is.
First, we find R p using the equation for resistors in parallel and entering known values:. The total resistance of this combination is intermediate between the pure series and pure parallel values Thus its IR drop is.
We must find I before we can calculate V 1. The voltage applied to R 2 and R 3 is less than the total voltage by an amount V 1. When wire resistance is large, it can significantly affect the operation of the devices represented by R 2 and R 3. To find the current through R 2 , we must first find the voltage applied to it. We call this voltage V p , because it is applied to a parallel combination of resistors. The voltage applied to both R 2 and R 3 is reduced by the amount V 1 , and so it is.
The current is less than the 2. The power is less than the One implication of this last example is that resistance in wires reduces the current and power delivered to a resistor. If wire resistance is relatively large, as in a worn or a very long extension cord, then this loss can be significant.
If a large current is drawn, the IR drop in the wires can also be significant. For example, when you are rummaging in the refrigerator and the motor comes on, the refrigerator light dims momentarily.
Similarly, you can see the passenger compartment light dim when you start the engine of your car although this may be due to resistance inside the battery itself. What is happening in these high-current situations is illustrated in Figure 6. The device represented by R 3 has a very low resistance, and so when it is switched on, a large current flows.
This increased current causes a larger IR drop in the wires represented by R 1 , reducing the voltage across the light bulb which is R 2 , which then dims noticeably.
Figure 6. Why do lights dim when a large appliance is switched on? The answer is that the large current the appliance motor draws causes a significant drop in the wires and reduces the voltage across the light.
A switch has a variable resistance that is nearly zero when closed and extremely large when open, and it is placed in series with the device it controls. Explain the effect the switch in Figure 7 has on current when open and when closed. Figure 7. A switch is ordinarily in series with a resistance and voltage source. Ideally, the switch has nearly zero resistance when closed but has an extremely large resistance when open.
Note that in this diagram, the script E represents the voltage or electromotive force of the battery. There is a voltage across an open switch, such as in Figure 7. Why, then, is the power dissipated by the open switch small? A student in a physics lab mistakenly wired a light bulb, battery, and switch as shown in Figure 8.
Explain why the bulb is on when the switch is open, and off when the switch is closed. Do not try this—it is hard on the battery!
Figure 8. Knowing that the severity of a shock depends on the magnitude of the current through your body, would you prefer to be in series or parallel with a resistance, such as the heating element of a toaster, if shocked by it?
Some strings of holiday lights are wired in series to save wiring costs. An old version utilized bulbs that break the electrical connection, like an open switch, when they burn out. If one such bulb burns out, what happens to the others? If such a string operates on V and has 40 identical bulbs, what is the normal operating voltage of each? Newer versions use bulbs that short circuit, like a closed switch, when they burn out.
If such a string operates on V and has 39 remaining identical bulbs, what is then the operating voltage of each? If two household lightbulbs rated 60 W and W are connected in series to household power, which will be brighter?
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