(A) For an inductor,the inductive reactance is $X_L = 2\pi f L$. The current is given by $I = \frac{V}{X_L} = \frac{V}{2\pi f L}$.Thus,$I \propto \fra

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decrease in the first circuit and increase in the other.

(A) For an inductor,the inductive reactance is $X_L = 2\pi f L$. The current is given by $I = \frac{V}{X_L} = \frac{V}{2\pi f L}$.Thus,$I \propto \frac{1}{f}$. As the frequency $f$ increases,the current $I$ decreases in the first circuit.For a capacitor,the capacitive reactance is $X_C = \frac{1}{2\pi f C}$. The current is given by $I = \frac{V}{X_C} = V(2\pi f C)$.Thus,$I \propto f$. As the frequency $f$ increases,the current $I$ increases in the second circuit.

Class 12 Physics Alternating Current Only Inductor, Only Capacitor and Only Resistor Circuit

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The same current is flowing in two alternating circuits. The first circuit contains only an inductor and the other contains only a capacitor. If the frequency of the alternating e.m.f. is increased,the values of current will

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A
decrease in the first circuit and increase in the other.
B
increase in the first circuit and decrease in the other.
C
increase in both circuits.
D
decrease in both circuits.

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Alternating Current

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Only Inductor, Only Capacitor and Only Resistor Circuit

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$A$ $100 \; \Omega$ resistor is connected to a $220 \; V, 50 \; Hz$ $ac$ supply.
$(a)$ What is the $rms$ value of current in the circuit?
$(b)$ What is the net power consumed over a full cycle?

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In a pure inductive circuit, the curve between frequency $f$ and the reciprocal of inductive reactance $1/X_L$ is:

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An alternating voltage $e = 150\sqrt{2} \sin 100t \text{ V}$ is applied to a capacitor of capacity $2 \mu F$. The root mean square value of current in the circuit is (in $mA$)

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Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.

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An $a.c.$ of frequency $f$ is flowing in a circuit containing only an ideal choke coil of inductance $L$. If $V_0$ and $i_0$ represent peak values of the voltage and the current respectively,the average power given by the source to the choke coil is equal to

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The same current is flowing in two alternating circuits. The first circuit contains only an inductor and the other contains only a capacitor. If the frequency of the alternating e.m.f. is increased,the values of current will

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$A$ $100 \; \Omega$ resistor is connected to a $220 \; V, 50 \; Hz$ $ac$ supply.$(a)$ What is the $rms$ value of current in the circuit?$(b)$ What is the net power consumed over a full cycle?

In a pure inductive circuit, the curve between frequency $f$ and the reciprocal of inductive reactance $1/X_L$ is:

An alternating voltage $e = 150\sqrt{2} \sin 100t \text{ V}$ is applied to a capacitor of capacity $2 \mu F$. The root mean square value of current in the circuit is (in $mA$)

Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.

An $a.c.$ of frequency $f$ is flowing in a circuit containing only an ideal choke coil of inductance $L$. If $V_0$ and $i_0$ represent peak values of the voltage and the current respectively,the average power given by the source to the choke coil is equal to

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$A$ $100 \; \Omega$ resistor is connected to a $220 \; V, 50 \; Hz$ $ac$ supply.
$(a)$ What is the $rms$ value of current in the circuit?
$(b)$ What is the net power consumed over a full cycle?