Question

A $6kHz$ sinusoidal voltage is applied to a series RC circuit. The frequency of the voltage across the resistor is

• A. $0Hz$
  
• B. $12kHz$
  
• C. $6kHz$
• D. $18kHz$
  

Answer 1

Answer: (C)

$6kHz$

Frequency of applied voltage and voltage or current accross any component are same. As we know,

$I=\frac{V}{Z}$ and $Z$ has nothing to do with frequency

$⟹$ $I$and$V$ have same frequency.

And also according to KVL $V=V_1+V_2+V_3$

$⟹$ voltage and current across any component have same frequency i.e $6kHz$.