BITSAT2015PhysicsAlternating CurrentActual
A direct current of 5 ~A is superposed on an alternating current I=10 t flowing through the wire. The effective value of the resulting current will be
Options
- A(15 / 2) A
- B5 3 ~A
- C5 5 ~A
- D15 ~A
Correct answer
B. 5 3 ~A
Step-by-step solution
Total carrent, 1=(5+10 t ) aligned I_ eff &= [ ₀^ T I ² dt ₀^ T dt ]^ 1 / 2 &= [ 1 ~T ₀^ T (5+10 t )² dt ]^ 1 / 2 &= [ 1 ~T ₀^ T (25+100 t +100 ² t ) ]^ 1 / 2 But, 1 ~T ₀^ T t dt =0 aligned and array l 1 ~T ₀^ T ² t dt = 1 2 So, I _ eff = [25+ 1 2 100 ]^ 1 / 2 =5 3 ~A array