why does a voltmeter have high resistance whereas an ammeter has low resistance??

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Solution

Dear Student,

Voltmeter should not allow any follow of current through it for it to accurately measure the potential difference between two ends. That is why it should have a very high resistance.
Ammeter measures the amount of current passing through a given point in a conductor. Now, for it to accurately measure that, there should be no obstacles to current flow through it, thus it should have very less resistance.

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