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NEET PHYSICSMedium

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

A

(b), (c)

B

(a), (d)

C

(b), (d)

D

(c), (d)

Step-by-Step Solution

According to the sources, the current in an AC circuit is given by I=V/ZI = V/Z . For a resistor, the impedance Z=RZ = R is independent of frequency . For an inductor, the inductive reactance is XL=2πfLX_L = 2\pi f L, meaning impedance increases with frequency and current decreases . However, for a capacitor, the capacitive reactance is XC=1/(2πfC)X_C = 1/(2\pi f C) . As the frequency ff increases, XCX_C decreases. In a circuit containing only a capacitor (Z=XCZ = X_C) or a resistor and capacitor in series (Z=R2+XC2Z = \sqrt{R^2 + X_C^2}), the total impedance ZZ will decrease as frequency increases, which leads to an increase in current II. Therefore, elements (c) and (d) are the likely constituents.

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