In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of the supply. Which of the following elements are likely to constitute the circuit? (a) Only resistor (b) Resistor and an inductor (c) Resistor and a capacitor (d) Only a capacitor
(b), (c)
(a), (d)
(b), (d)
(c), (d)
According to the sources, the current in an AC circuit is given by . For a resistor, the impedance is independent of frequency . For an inductor, the inductive reactance is , meaning impedance increases with frequency and current decreases . However, for a capacitor, the capacitive reactance is . As the frequency increases, decreases. In a circuit containing only a capacitor () or a resistor and capacitor in series (), the total impedance will decrease as frequency increases, which leads to an increase in current . Therefore, elements (c) and (d) are the likely constituents.
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