Question

An AC source is connected in parallel with an L-C-R circuit as shown. Let $I_S,I_L,I_C$ and $I_R$ denote the currents through and $V_S,V_L,V_C$ and $V_R$ voltages across the corresponding components. Then :

• A. $I_S=I_L+I_C+I_R$
• B. $V_S=V_L+V_C+V_R$
• C. $(I_L,I_C,I_R)<I_S$
• D. $I_L,I_C$ may be greater than $I_S$

Answer 1

Answer: (D)

$I_L,I_C$ may be greater than $I_S$

For parallel RLC circuit,

$I_S=\sqrt{I_R^2+(I_L-I_C{)}^2}$

In case of resonance, $I_L=I_C$

So, $I_S=I_R$

Here $I_L$ and $I_C$ can be much greater than $I_R$

Option D is correct.