Same current is flowing in two alternating circuits. The first circuit contains only inductances and the other contains only a capacitor, if the frequency of the e.m.f of AC is increased, the effect on the value of the current will be

Options

A. Increases in the first circuit and decreases in the other
B. Increases in both the circuits
C. Decreases in both the circuits
D. Decreases in the first circuit and increases in the other

Answer

D

Explanation

For the first current `i=V/Z=V/(sqrt(R^(2)+omega^(2)L^(2)))`
`:.` Inceases in `omega` will cause a decreases in `i`.
For the second circuit `i=V/(sqrt(R^(2)+1/(omega^(2)C^(2))))`
`:.` Increases in `omega` will cause an increases in `i`.