Electromagnetic Induction And Alternating Current Ques 72
- A series $R-C$ combination is connected to an $A C$ voltage of angular frequency $\omega=500 rad / s$. If the impedance of the $R-C$ circuit is $R \sqrt{1.25}$, the time constant (in millisecond) of the circuit is
(2011)
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Answer:
Correct Answer: 72.4
Solution:
Formula:
- $Z=\sqrt{R^{2}+X_{C}^{2}}=R \sqrt{1.25}$
$\therefore R^{2}+X _C^{2}=1.25 Z^{2}$ or $X _C=\frac{Z}{2}$ or $\frac{1}{\omega C}=\frac{Z}{2}$
$\therefore$ Time constant $=C R=\frac{1}{\omega}=\frac{1}{500} s=2 ms$
BETA
