RC circuits — does the total current always lead the source voltage?

Difficulty: Easy

Correct Answer: True

Explanation:


Introduction / Context:
This item checks phase intuition: in networks containing only resistors and capacitors (no inductors), is the net current ahead (leading) or behind (lagging) the source voltage?


Given Data / Assumptions:

  • RC network (series or parallel) with sinusoidal excitation.
  • No inductive elements present.


Concept / Approach:
Capacitive current leads voltage by 90 degrees for an ideal capacitor. The presence of resistance reduces the lead, but cannot reverse it to a lag because there is no inductive reactance to pull the phase negative. Therefore, the total current in an RC-only network leads the source voltage by some angle between 0 and +90 degrees.


Step-by-Step Solution:

Series RC: current I is common and leads source voltage by angle θ = arctan(1 / (ω * R * C)).Parallel RC: total current Itot = IR + IC; IR is in phase with V, IC leads V by 90 degrees; vector sum leads V by 0 < θ < 90 degrees.Thus, in both topologies, without L the net effect is a leading current.


Verification / Alternative check:
Compute the input admittance Y = G + jB for an RC network; susceptance B = +ωC > 0, so the current phasor leads the voltage phasor by angle φ = arctan(B/G) ≥ 0.


Why Other Options Are Wrong:

  • “False” would suggest zero or lagging phase for some RC arrangement, which would require inductive behavior not present in R–C-only circuits.


Common Pitfalls:
Confusing “output current in a branch” with “total line current.” Individual branch currents may have different phases, but the total seen by the source still leads for RC-only networks.


Final Answer:
True

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion