Is Voltage Across Always a Magnitude?

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Voltage across a resistor can be considered a magnitude in DC circuits, as it is scalar. In AC circuits, however, voltage includes both magnitude and phase angle, indicating its polarity. Therefore, when asked to find the "voltage across" a resistor, it is not just a magnitude but a signed magnitude. Understanding the context of the circuit type is crucial for accurate interpretation. Voltage is fundamentally a scalar quantity in DC, but it gains complexity in AC scenarios.
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"Voltage across" a magnitude?

If a problem says to find the "voltage across" a resistor, is that always a magnitude?
 
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I may be wrong here but from what I remember from school,

in DC circuits, voltage is scalar.

in AC circuits, the voltage will have an associated phase angle with it.
 


There is polarity associated with that voltage.
 


pyroknife said:
If a problem says to find the "voltage across" a resistor, is that always a magnitude?

It is a signed magnitude.
 
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