question : A two terminal network consists of one of the RLC elements . The element is connected to an a.c. supply .The current through the element is I A. When inductor is inserted in series between the source and element,the current through the element becomes 2I A . What is the element ?
(d)can not be a single element
answer : the answer is given (c) A capacitor but no explanation is given .
i'm confused how can inductor amplify current without presence of any active source in the network so, please provide explanation of answer for understanding concept behind the question . thank you.
EDIT:As per hilmer comment i break problem into three cases below is the pic attached for same
in first two cases (with R and L as elements respectively ) when inductor is inserted in series current is reducing(because denominator is +ve quantity and increases with increase in frequency ) ,but in 3rd case with capacitor as element there is scope of increase in current because denominator is(1-w^2*LC) which decreases with increase in frequency .
but how the current become 2 times is still my doubt? even if W^2*LC =1/2 then numerator will also change accordingly