We're going to learn about resistors Series and parallel today. Electrical resistance, as we all know, is the resistance to current passage in an electric circuit. The resistance of a resistor restricts the passage of electrons in a circuit. A conductor is a person who acts as a guide for other people. Assume that there is no opposition. When we provide a voltage differential to the conductor, the electrons begin to travel through it.
A negative current flow is a moving electron flow. An ammeter may be used to determine the amount of current flowing. We have a very high current because there is no resistance in the conductor to slow down the electrons; they are moving at full speed. Consider another conductor, but this one is equipped with a resistor. Apply the same amount of voltage as when electrons initially started to flow. Electrons have a second choice: they must pass through the resistor. What is the current reading on the ammeter? Because the electron flow is limited by the resistor, it is lower than the initial measurement. Let's try a different conductor with two series resistors. Both impediments must be passed by the current flow. As a result, the ammeter value is lower than before. Similarly, we may raise the resistance by connecting more resistors in series. A resistor is represented by this symbol. r1 is now the entire resistance.
The total resistance becomes r1+r2 when we add another resistor with r2 resistance. Let's add a third r3 resistor to the circuit. The entire opposition continues to rise. r1+ r2+ r3 is now the total resistance. As a result, the sum of the series resistors' individual resistances equals the overall resistance of the series resistors. Let's go back to the beginning. We already know that series resistors lower current. Assume that only the i1 current may pass through this resistor. The current ammeter value is now i1. What happens if two resistors with the same resistance are connected in parallel? Then connect them with the same voltage A total of i1 current can pass across each resistor. i1 + i1 = 2i1 is now the ammeter reading. The current has become stronger.
This indicates that the overall resistance has lessened. We may lower the resistance by using parallel resistors. Take a look at this diagram. The voltage, resistance, and current between locations A and B are denoted by V, R, and I, respectively. It will transfer i1 current through an R1 resistor placed between locations A and B. Because there is no other path for current to go from point A to point B, the total current I equals i1. We can use Ohm's law to help us.
The letters v and R can be used to replace the letters i. On both sides, we may eliminate the word "v." This is what we're getting: Right. Let's add a parallel resistor to the r1 resistor. We may substitute v and R for I in situations like this. On both sides, we may eliminate the word "v." This is what we're getting: Right. Let's add a parallel resistor to the r1 resistor. This, for example. I2 current can flow via this new r2 resistor. From point a to point b, the current can take one of two paths. The sum of these two currents equals the total current. We may simplify the problem by utilizing Ohm's rule to replace the i. We can continue to add parallel resistors by adding more resistors in parallel. We may write an equation for 3 parallel resistors.
This is how we may construct an equation. The inverse of the overall resistance in a parallel resistor circuit is equal to the sum of the inverses of each individual resistor.
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