As shown in the figure, the voltmeter reads 2 V across 5Ω resistor. The resistance of the voltmeter is ______ Ω.
Answer: 20
Solution
The voltmeter is in parallel with the 5Ω resistor, so the 2 V it reads is the voltage across that resistor and the current in it is i1=52=0.4 A. The remaining emf, 3−2=1 V, appears across the 2Ω resistor, so the current drawn from the source is i=21=0.5 A. The current through the voltmeter is i−i1=0.5−0.4=0.1 A, and with 2 V across it its resistance is R=0.12=20Ω.