Determine the unknown potential difference (or differences) in each case.  

A filament lamp and a $220 \mathrm{\Omega }$ Resistor are connected in series to a battery of e.m.f.$6.0 \mathrm{V}$ The battery has negligible internal resistance. A high-resistance voltmeter placed across the resistor measures $1.8 \mathrm{V}$Calculate the current drawn from the battery (The elementary charge is $1.6\times {10}^{-19}\mathrm{C}$.) 

A filament lamp and a $220 \mathrm{\Omega }$ Resistor are connected in series to a battery of e.m.f.$6.0 \mathrm{V}$. The battery has negligible internal resistance. A high-resistance voltmeter placed across the resistor measures $1.8 \mathrm{V}$. Calculate the potential difference across the lamp (The elementary charge is $1.6\times {10}^{-19}\mathrm{C}$)

A filament lamp and a $220 \mathrm{\Omega }$ resistor are connected in series to a battery of e.m.f.$6.0 \mathrm{V}$ The battery has negligible internal resistance. A high-resistance voltmeter placed across the resistor measures $1.8 \mathrm{V}$
Calculate: 

The total resistance of the circuit 

(The elementary charge is $1.6\times {10}^{-19}\mathrm{C}$.) 
 

A filament lamp and a $220 \mathrm{\Omega }$ resistor are connected in series to a battery of e.m.f.$6.0 \mathrm{V}$ The battery has negligible internal resistance. A high-resistance voltmeter placed across the resistor measures $1.8 \mathrm{V}$
Calculate: 

The number of electrons passing through the battery in a time of $1.0$ minute.

(The elementary charge is $1.6\times {10}^{-19}\mathrm{C}$.) 

The circuit diagram shows a $12\mathrm{V}$power supply connected to some resistors.

The current in the resistor$\mathrm{X}$is$2.0\mathrm{A}$ and the current in the $6.0\mathrm{\Omega }$ resistor is $0.5\mathrm{A}$.Calculate: 

The current in resistor $\mathrm{Y}$

The circuit diagram shows a $12\mathrm{V}$power supply connected to some resistors.

The current in the resistor$\mathrm{X}$is$2.0\mathrm{A}$ and the current in the $6.0\mathrm{\Omega }$ resistor is $0.5\mathrm{A}$.Calculate: 

(b). The resistance of resistor $\mathrm{Y}$

The circuit diagram shows a $12\mathrm{V}$power supply connected to some resistors.

The current in the resistor$\mathrm{X}$is$2.0\mathrm{A}$ and the current in the $6.0\mathrm{\Omega }$ resistor is $0.5\mathrm{A}$.Calculate: 

The resistance of resistor $\mathrm{X}$.