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The typical answer is current is zero when there is a break in the circuit. It depends on the complexity of the circuit, there may be other paths for the current to flow, such that if there is a break in one part of the circuit, the rest of the circuit still has current flow (but a different value than designed).

If you are reading voltage, and there is a break then that will change, also depending on the complexity. If it is a single loop, and you're reading voltage before the break, your voltmeter will read the same voltage as the voltage source, since there is no current flowing between any resistors between the meter and the source. If you're reading voltage after the break then the meter will read zero (0) volts.

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Q: When there is a break on the circuit what is the reading?
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