First slide

Phasors and Phasor Diagrams

Question

Same current is flowing in two alternating circuits. The first circuit contains only inductor 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

Moderate

A

Increased in the first circuit and decreased in the other
B

Increased in both the circuits
C

Decreased in both the circuits
D

Decreased in the first circuit and increased in the other

Solution

For the first circuit, i= $\frac{V}{X_{c}} = \frac{V}{ω L} = \frac{V}{2 πνL} \Rightarrow i \infty \frac{1}{ν} I n t h e s e c o n d c i r c u i t, i = \frac{V}{X_{c}} = \frac{V}{\frac{1}{ω c}} = 2 π V ν \Rightarrow i \infty ν$

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