Question

In a parallel RC circuit, there is $100mA$ through the resistive branch and $100mA$ through the capacitive branch. The total rms current is

• A. $200mA$
  
• B. $100mA$
  
• C. $282mA$
  
• D. $141mA$
  

Answer 1

Answer: (D)

$141mA$

Current in resistive branch $I_r=100mA$

Current in capacitive branch $I_c=100mA$

Thus total rms current $I_{rms}=\sqrt{I_r^2+I_c^2}$

$\therefore$ $I_{rms}=\sqrt{{100}^2+{100}^2}$

$⟹$ $I_{rms}=\sqrt{2}\times 100=141mA$