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Unlike the idealized voltmeter, a real voltmeter has a resistance that is not infinitely large.
A voltmeter with resistance RV is connected across the terminals of a battery of emf E and internal resistance r. Find the potential difference Vmeter measured by the voltmeter.
What is Vmeter?
Kirchhoff’s loop rule, and ohms’ law are the concepts that were used to solve this problem.
The Kirchhoff’s loop rule can initially be used to calculate the current through the circuit.
The ohm’s law for circuits can be used to calculate the potential difference between the voltmeter and the circuit.
Kirchhoff’s loop rule says that the sum voltage across all circuit elements will equal zero.
The circuit diagram of the voltmeter can be found here.
The equation can be solved using Kirchhoff’s loop rule.
This is the expression for the potential difference in the voltmeter using Ohm’s law.
The Kirchhoff loop rule states that the equation will be,
To find the current flowing through the circuit, rewrite the equation.
The potential difference in voltmeters is described as,
Substitute [katex]\varepsilon/E_v+r[/katex] to
.
The required potential change measured by the Voltmeter is
.