For the combination of resistors shown, findthe equivalent resistance between points A and B.
Express your answer in Ohms.
If the circuit is, as shown below
find the equivalent resistance between points Aand B.
Concepts and reason
Resistor contains two junctions with which the current flow in and out of it. They are passive devices and consume power.
To increase the net resistance, the resistors must be connected in series and to decrease the resistors must be connected in parallel.
Calculate the effective resistance of the combination of resistors connected in series between points A and B by using the expression to calculate the effective resistance of the capacitors connected in series.
Calculate the effective resistance of the combination of resistors connected in parallel between points A and B by using the expression to calculate the effective resistance of the capacitors connected in parallel.
Fundamentals
Resistor does not allow the electric current to pass through it easily.
The ability of the resistor to resists the current to pass through it is called resistance.
If the end point of one resistor is connected to the end point of the adjacent resistor in linear manner, and the free end of one resistor and the free end of the other resistor is connected to the power supply. Then those two resistors are connected in series and their equivalent resistance between their end points increases.
In series circuit, current has only one path to flow.
The equivalent resistance of the resistors connected in series is the sum of the resistance of individual resistor.
The expression for the equivalent resistance of the resistor connected in series is,
Here,
is the equivalent resistances of the resistors connected in series, 
are the resistors connected in series.
If both the end point of the resistors is connected to both the end points of the power supply, then the resistors are connected in parallel and their equivalent resistance between their end points decreases.
In parallel circuit current has more than one path to flow.
The equivalent reciprocal resistance of the resistors connected in parallel is the sum of reciprocal resistance of the individual resistor.
The expression for the equivalent resistance of the resistor connected in parallel is,
Here, 
is the equivalent resistances of the resistors connected in parallel, are the resistors connected in parallel.
Answer:
The expression for the equivalent resistance of the resistor connected in series is,
Thus the equivalent resistance between points A and B is 
.
Explanation:
When the resistors are connected in series, the effective resistances add up algebraically and consequently the effective resistance increases.
In the case of a potential source connected across the terminals of a series combination of resistors, then the current flows through it with much difficulty. This is due to the increase in net resistance.
The expression for the equivalent resistance of the resistor connected in parallel is,
Explanation:
When the resistors are connected in parallel, the effective resistances of the combination of the resistors decrease and it is less than the resistance of an individual resistor.