KCET2025PhysicsAlternating Current
A series LCR circuit containing an AC source of 100 V has an inductor and a capacitor of reactances 24 and 16 respectively. If a resistance of 6 is connected in series, then the potential difference across the series combination of inductor and capacitor only is
Options
- A80 V
- B400 V
- C8 V
- D40 V
Correct answer
A. 80 V
Step-by-step solution
aligned & X _ C =24 & X _ L =16 & R =6 & Z = R ^2+ ( X _ C - X _ L )^2 & = 6^2+8^2 & = 100 =10 aligned i = V Z = 100 10 =10 ~A Net voltage across capacitor and inductor aligned & = i ( X _ C - X _ L ) & =10(24-16) & =10(8) & =80 ~V aligned