At a voltmeter, the resistance should be much greater than the resistance of the ammeter. The ammeter is included in the circuit in series, and it should not change the current in the circuit, so its resistance should be small. The voltmeter is connected to the circuit parallel to the section where the voltage is measured. In order not to change the measured voltage, the current through the voltmeter must be small, and accordingly the resistance of the voltmeter must be high.
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