KCET2010PhysicsAlternating Current
An ideal choke draws a current of 8 ~A when connected to an AC supply of 100 ~V , 50 ~Hz . A pure resistor draws a current of 10 ~A when connected to the same source. The ideal choke and the resistor are connected in series and then connected to the AC source of 150 ~V , 40 ~Hz . The current in the circuit becomes
Options
- A15 2 ~A
- B8 ~A
- C18 ~A
- D10 ~A
Correct answer
A. 15 2 ~A
Step-by-step solution
Resistance, R = 100 10 =10 Inductive reactance, X _ L =2 fL gathered 100 8 =2 50 L L = 1 8 H X _ L ^ =2 f ^ L =2 40 1 8 =10 gathered Impedance of the circuit is Z = R ²+ X _ L ^ 2 = (10)²+(10)² =10 2 Current in the circuit is i = V Z = 150 10 2 = 15 2 ~A