Series Resistors and Voltage Division
In this lesson we will be talking about the Series and Parallel resistors. How to solve for the voltage and current division..
Series resistors: same current flowing through them.
The single loop circuit located on the left has two resistors are in series. Since the same current i flows in both of them, we need to apply Ohm's law to each resistors.
The single loop circuit located on the left has two resistors are in series. Since the same current i flows in both of them, we need to apply Ohm's law to each resistors.
The two circuits in above are equivalent because both of them exhibit the same voltage-current relationship at the terminals a-b.
We also need to put in mind that Req is the value of the sum of resistances that can be use as replacement that serves the same purposes to the given resistors in the circuit.
The equivalent resistance of any number of resistors connected in series is the sum of the individual resistances.
We also need to put in mind that Req is the value of the sum of resistances that can be use as replacement that serves the same purposes to the given resistors in the circuit.
The equivalent resistance of any number of resistors connected in series is the sum of the individual resistances.
Voltage Division:
Now we're going to determine the voltage division of the circuit in Figure 1.
Principle of voltage division - the source voltage is divided among the resistors in direct proportion to their resistances; the larger the resistance, the larger the voltage drop.
Parallel Resistors and Current Division
Parallel resistors - common voltage across it.
Thus, the equivalent resistance of two parallel resistors is equal to the product of their resistances divided by their sum.
The Req in the parallel resistors that this applies only to two resistors in parallel
The Req in the parallel resistors that this applies only to two resistors in parallel
Current Division:
Now we're going to get the current division of the circuit in Figure 3.
Principle of Current Division - that the current i is shared by the resistors in inverse proportion to their resistances.
Conductance (G)
It is often more convenient to use conductance rather than the resistance when dealing with resistors in parallel.
The equation above states that: the equivalent conductance of resistors connected in parallel is the sum of their individual conductances.