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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?
Options:
Solution:
1230 Upvotes
Verified Answer
The correct answers are:
Resistor and a capacitor
,
Only a capacitor
Resistor and a capacitor
,
Only a capacitor
As per question on increasing frequency, the current increases.
So, the reactance of the circuit must be decreases as increasing frequency.
For a capacitive circuit, when $\mathrm{f}$ is frequency of the AC circuits.
$$
X_C=\frac{1}{\omega C}=\frac{1}{2 \pi f C}
$$
Clearly when frequency increases, $X_C$ decreases, to increase current capacitors
For R-C circuit, $\quad X=\sqrt{R^2+\left(\frac{1}{\omega \mathrm{C}}\right)^2}$
So, option (c) and (d) are verify.
So, the reactance of the circuit must be decreases as increasing frequency.
For a capacitive circuit, when $\mathrm{f}$ is frequency of the AC circuits.
$$
X_C=\frac{1}{\omega C}=\frac{1}{2 \pi f C}
$$
Clearly when frequency increases, $X_C$ decreases, to increase current capacitors
For R-C circuit, $\quad X=\sqrt{R^2+\left(\frac{1}{\omega \mathrm{C}}\right)^2}$
So, option (c) and (d) are verify.
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