The resistors $R_1 , R_2 , R_3$ and $R_4$ in the figure given below are all equal in value.
What would you expect the voltmeters $A, B$ and $C$ to read assuming that the connecting wires in the circuit have negligible resistance?
What would you expect the voltmeters $A, B$ and $C$ to read assuming that the connecting wires in the circuit have negligible resistance?
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$R_{eq} = R + R + R + R = 4R$ ohm
Total current in the circuit, $\text{I}=\frac{\text{V}}{\text{R}}=\frac{12}{4\text{R}}=\frac{3}{\text{R}}$
Reading of voltmeter $A =$ Voltage across $\text{R}_1=\text{I}\times\text{R}_1=\frac{3}{\text{R}}\times\text{R}=3\text{V}$
Reading of voltmeter $B =$ Voltage across $\text{R}_2=\text{I}\times\text{R}_2=\frac{3}{\text{R}}\times\text{R}=3\text{V}$
Reading of voltmeter $C =$ Voltage across the series combination of $R_3$ and $R_4$ $=\text{I}\times(\text{R}_3+\text{R}_4)=\frac{3}{\text{R}}\times2\text{R}=6\text{V}$
Total current in the circuit, $\text{I}=\frac{\text{V}}{\text{R}}=\frac{12}{4\text{R}}=\frac{3}{\text{R}}$
Reading of voltmeter $A =$ Voltage across $\text{R}_1=\text{I}\times\text{R}_1=\frac{3}{\text{R}}\times\text{R}=3\text{V}$
Reading of voltmeter $B =$ Voltage across $\text{R}_2=\text{I}\times\text{R}_2=\frac{3}{\text{R}}\times\text{R}=3\text{V}$
Reading of voltmeter $C =$ Voltage across the series combination of $R_3$ and $R_4$ $=\text{I}\times(\text{R}_3+\text{R}_4)=\frac{3}{\text{R}}\times2\text{R}=6\text{V}$
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