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Combinations of Resistors

Combinations of resistors:

Resistors are arranged in one of three forms to form electrical networks according to our desired demand.
1.Series Network  
2. Parallel Network 
3.Star or Delta Network
                                       Series Network:
A network of resistors where there is only one path for current to flow is called a series resistive circuit. It means the current in a series circuit remains the same but voltage divides across the resistors. Total resistance of the circuit is more than any resistor connected in series. A series network is shown in the following figure.

Total resistance of a series connected resistors is found by the formula
Rt =R1+R2+R3+……….+Rn
I = E/Rt
Total voltage = E
E = IR1+IR2+IR3+……..+IRn
The equivalent circuit after calculating total resistance is given by
                           Parallel Network:
Such a circuit in which resistors are arranged in a way that current has multiple paths to flow is called parallel resistive circuit. It means in this sort of arrangement of resistors current will divide but voltage remain the same. The total resistance of the network is less than the resistance of any resistor connected in parallel. A parallel resistive network and its equivalent is shown in the following figure.
Total resistance of resistors which are connected in parallel configuration is calculated by
1/Rt = 1/R1+1/R2+1/R3+………….+1/Rn
Total current=I=I1+I2+I3+……..+In
The equivalent circuit after simplification is as follows
                        Star or Delta Network:
There are some networks in which resistors are neither in series nor in parallel. Such networks are either star-connected or delta-connected.
Image result for star connected resistors

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