Determine the time constant for the network shown in figure

Determine the time constant for the network shown in figure
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Determine the time constant for the network shown in figure

A. <span class="math-tex">\(\frac{{RC}}{3}\)</span>

B. <span class="math-tex">\(\frac{{4RC}}{3}\)</span>

C. RC

D. <span class="math-tex">\(\frac{{2RC}}{3}\)</span>

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Time constant of a RC circuit = Req Ceq

To find Req, we need to remove all the independent sources by replacing voltage source with short circuit and current with open circuit

\({R_{eq}} = R||2R = \frac{{2R}}{3}\)

Ceq = C

Time constant \(\left( \tau \right) = \frac{{2R}}{3}C\)