Explain with diagrams what is meant by the "series combination" and "parallel combination" of resistance. In which case the resultant resistance is: (i) less and (ii) more, than either of the individual resistances?

Three resistors are connected as shown in the diagram.

Through resistor $5 \mathrm{ohm},$ a current of $1 \mathrm{ampere}$ is flowing.

(i) What is the current through the other two resistors?

(ii) What is the potential difference across AB and across AC?

(iii) What is the total resistance?

For the circuit shown in the diagram below:

What is the value of

(i) current through $6 \mathrm{\Omega }$ resistor?

(ii) the potential difference across the $12 \mathrm{\Omega }$ resistor?

Two resistors, with resistances $5 \mathrm{\Omega }$ and $10 \mathrm{\Omega }$ respectively are to be connected to a battery of emf $6 \mathrm{V}$ so as to obtain:

(i) minimum current flowing (ii) maximum current flowing

(a) How will you connect the resistances in each case?

(b) Calculate the strength of the total current in the circuit in the two cases.

The circuit diagram given below shows the combination of three resistors $R_1,R_2$ and $R_3:$

Find:

(i) the total resistance of the circuit.

(ii) the total current flowing in the circuit.

(iii) the potential difference across $R_1$.