Question
A direct current of 6 ~A is superimposed on an alternating current I=10 t flowing through a wire. The effective value of the resulting current will be
BITSAT
Physics
Waves and Sound
2022
BITSAT 2022
BITSAT Physics Question (2022) — Solution
Options
- A. 5 2
- B. 5 3
- C. 9.27
- D. 8.37
Answer
C. 9.27
Step-by-step solution
Given, I=6+10 t aligned I_ eft & = [ . _0^T I^2 d t ]^ 1 / 2 _0^T d t = [ 1 T _0^T(6+10 t)^2 d t ]^ 1 / 2 . \\ & = [ 1 T _0^T (36+120 t+100 ^2 t ) d t ]^ 1 / 2 aligned But as, 1 T _0^T t d t=0 and 1 T _0^T ^2 t= 1 2 I_ eff = [36+ 1 2 100 ]^ 1 / 2 =9.27 Thus, I_ eff =9.27 ~A .
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