If you connect three resistors having values $2 \, \Omega$, $3 \, \Omega$, and $5 \, \Omega$ in parallel, will the value of total resistance be less than $2 \, \Omega$, greater than $5 \, \Omega$, or lie between $2 \, \Omega$ and $5 \, \Omega$? Explain.

The $I-V$ graphs of two resistors,and their series combination,are shown below. Which one of these graphs represents the series combination of the other two? Give reasons for your answer.

When two resistors of resistances $R_{1}$ and $R_{2}$ are connected in parallel,the net resistance is $3 \, \Omega$. When connected in series,its value is $16 \, \Omega$. Calculate the values of $R_{1}$ and $R_{2}$.

Draw a labelled circuit diagram showing three resistors $R_{1}, R_{2}$ and $R_{3}$ connected in series with a battery $(E)$,a rheostat $(Rh)$,a plug key $(K)$ and an ammeter $(A)$ using standard circuit symbols. Use this circuit to show that the same current flows through every part of the circuit. List two precautions you would observe while performing the experiment.

Three resistors $R_{1} = 5 \Omega$,$R_{2} = 10 \Omega$,and $R_{3} = 30 \Omega$ are connected in parallel to a $12 \; V$ battery. Which resistor will have the highest current flowing through it?

$A$ heater is joined in parallel with a $60\, W$ bulb and connected to the mains. If the $60\, W$ bulb is replaced by a $100\, W$ bulb,will the rate of heat produced by the heater be more,less,or remain the same?