Ammeter:
In series connection, the same current flows through all the components. Ammeter aims at measuring the current flowing through the circuit and hence, it is connected in series: so that the same current that is there in the circuit flows through it and gets measured.
Ammeter has a low resistance, because we do not want to change the current that is flowing through the circuit.
Voltmeter:
When you place the meter probes at the two points you want to measure, a tiny portion of the current in the circuit will now go thru the meter and give you a reading. We make the voltmeter a very high resistance instrument. So when the current splits into the meter the high resistance allows only a tiny amount of original current to split into meter.
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