In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit?

Question

In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit? (A) Only resistor (B) Resistor and inductor (C) Resistor and capacitor (D) Only inductor

Tardigrade Admin · Accepted Answer

Reactance of a capacitor, XC=(1/ω C)=(1/2π upsilon C) As frequency increases, XC decreases and therefore current increases. As R does not vary with frequency, therefore, likely elements constituting the circuit may be capacitor and resistor.

Q. In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit?

Only resistor

Resistor and inductor

Resistor and capacitor

Only inductor

Reactance of a capacitor, $X_{C} = \frac{1}{ω C} = \frac{1}{2 π υ C}$
As frequency increases, $X_{C}$ decreases and therefore current increases. As $R$ does not vary with frequency, therefore, likely elements constituting the circuit may be capacitor and resistor.

Q. In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit?

Only resistor

Resistor and inductor

Resistor and capacitor

Only inductor

Reactance of a capacitor, XC​=ωC1​=2πυC1​ As frequency increases, XC​ decreases and therefore current increases. As R does not vary with frequency, therefore, likely elements constituting the circuit may be capacitor and resistor.

Reactance of a capacitor, $X_{C} = \frac{1}{ω C} = \frac{1}{2 π υ C}$
As frequency increases, $X_{C}$ decreases and therefore current increases. As $R$ does not vary with frequency, therefore, likely elements constituting the circuit may be capacitor and resistor.