A wire of resistance $5 \,ohm$ is bent in the form of a closed circle. What is the resistance between two points at the ends of any diameter of the circle?
Two electric lamps of $100\, W$ and $25\, W$ respectively are joined in parallel to a supply of $200\, V$. Calculate the total current flowing through the circuit.
Draw a circuit diagram for a circuit consisting of a battery of five cells of $2$ volts each, a $5\, \Omega,$ resistor, a $10\, \Omega$ resistor and a $15 \,\Omega$ resistor, an ammeter and a plug key; all connected in series. Also, connect a voltmeter to record the potential difference across the $15\, \Omega$ resistor and calculate
$(i)$ the electric current passing through the above circuit and
$(ii)$ potential difference across $5\, \Omega$ resistor when the key is closed.
What is the commercial unit of electrical energy? Represent it in terms of joules.
A current of $1$ ampere flows in a series circuit containing an electric lamp and a conductor of $5\,\Omega $ when connected to a $10\, V$ battery. Calculate the resistance of the electric lamp.
Now if a resistance of $10\,\Omega $ is connected in parallel with this series combination, what change (if any) in current flowing through $5\,\Omega $ conductor and potential difference across the lamp will take place? Give reason.