A cylinder of a material is $10\, cm$ long and has a cross-section of $2\, cm ^{2}$. If its resistance along the length be $20\, ohm$ what will be its resistivity in number and units ?
$(a)$ How much current will an electric bulb draw from a $220\, V$ source, if the resistance of the bulb filament is $1200\,ohm$ ?
$(b)$ How much current will an electric heater coil draw from a $220\, V$ source, if the resistance of the heater coil is $100\, ohm$ ?
Draw a schematic diagram of a circuit consisting of a cell of $1.5 \,V , 10 \Omega$ resistor and $15 \,\Omega$ resistor and $a$ plug key all connected in series.
In the given circuit, calculate $(i)$ total resistance of the circuit, and $(ii)$ current shown by the ammeter.
Is electrostatic potential a scalar quantity or a vector quantity ?