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Three resistors connected in series have individual voltages labeled V1, V2 and V3, respectively. Which of the following expresses the value of the total voltage VT taken over the three resistors together?

Physics

ScanSolve AI Answer

Answer

A. ΔVT=ΔV1+ΔV2+ΔV3\text{A. } \Delta V_T = \Delta V_1 + \Delta V_2 + \Delta V_3

Step-by-step solution

3 steps
  1. Understand the properties of a series circuit regarding voltage.

    In a series circuit, the total voltage across the entire circuit is the sum of the individual voltage drops across each component. This is a consequence of Kirchhoff's Voltage Law.

  2. Apply the principle to the given voltages.

    Given three resistors in series with individual voltages ΔV1\Delta V_1, ΔV2\Delta V_2, and ΔV3\Delta V_3. The total voltage across these three resistors is ΔVT\Delta V_T.
    According to the properties of a series circuit:

    ΔVT=ΔV1+ΔV2+ΔV3\Delta V_T = \Delta V_1 + \Delta V_2 + \Delta V_3
  3. Compare with the given options.

    Option A matches this relationship.

    The final answer is A. ΔVT=ΔV1+ΔV2+ΔV3\text{A. } \Delta V_T = \Delta V_1 + \Delta V_2 + \Delta V_3.

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