Hello freind I hope you all fine.
First of all, we will talk about Ohm's law which is very very important in circuit designing.
Ohm's law: V = I × R
V = Voltage between any two terminals in the circuit.
I = The electric current flowing through these two terminals.
R = Equivalent resistor between these two terminals.
Example 1. How to control the speed of dc motor using a resistor or potentiometer.
Note: Always remember that Ohm's law is valid for both AC and DC sources.
First, let's we take figure 1 for an explanation.
As you can see in above figure 1 that a dc motor is connected to a 12V dc battery. An ammeter is connected in a series of motor and the current is 0.50A passing through the motor.
Now the question is which value of the resistor and which power rating of the resistor should I use to control the dc motor. How to define it.
(i) The value of resistor: This totally depends on you that what the speed of motor are you want. Means you can use any value (i.e. 10Ohms, 12Ohms,30Ohms) of resistor here according to what speed of motor you want.
the speed of the motor decreases along with an increase in the value of the resistor. And the speed of the motor increases along with a decrease in the value of the resistor.
(ii) Power of resistor: To calculate the power of the resistor we know that
power(W) = voltage(V) х current(I)
Power of the we use that W = 6V x 0.50A = 3watt
What do you understand by 3watt? it means if you are using a resistor of 2ohms then you have to use a resistor of 3watt or above than 3watt. If you use below 3watt of resistor it will burn and damage.
Let's think about the above picture:
What happens if I use a 12ohms resistor directly 24v dc source?
here a 12ohms and 48watt resistor connected to 24v dc source, ok, the power delivered to 12ohms resistor is 48W and resistor also 48w. In this case, is resistor burn out or not?
No, the resistor will not burn at all, then what happens? here the resistor will continuously dissipate the heat of 48Watt.
Let's think about a new condition that What happens if we decrease the resistor value up to 6ohms? what can you observe in this condition?
So, first I want to tell you that the wattage of the resistor depends on the value of the resistor. Think about how?
when the resistor used is 12ohms, power delivered by 24v source is = W1 = V x V/R = 48W ok
In this case, the resistor will not burn or damage.
Now if we used 6ohms resistor, then power delivered by source is =W2 = V x V/R = 96W
So, Here your resistor will burn out because it was only 48W, and power delivered by source is 96W.
2. The resistor is mostly used as voltage divider to get the desired voltage level.
Here the example of voltage divider circuits.
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