(D) The Assertion is incorrect because Ohm's law $(V = IR)$ can be applied to $a.c.$ circuits using the concept of impedance $(Z)$. For an $a.c.$ circ

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(D) The Assertion is incorrect because Ohm's law $(V = IR)$ can be applied to $a.c.$ circuits using the concept of impedance $(Z)$. For an $a.c.$ circuit, the relation is $V = IZ$, where $Z$ is the impedance.The Reason is also incorrect because the resistance offered by a capacitor is called capacitive reactance $(X_C)$, not resistance. While it is true that $X_C = 1 / (2\pi fC)$ depends on frequency, calling it 'resistance' is technically inaccurate in the context of general circuit theory, and the statement as a whole does not justify the false assertion.

Class 12 Physics Alternating Current Mix Examples-Alternating Current

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Assertion: Ohm's law cannot be applied to $a.c.$ circuits.
Reason: Resistance offered by a capacitor for an $a.c.$ source depends upon the frequency of the source.

AIIMS 2009 All AIIMS

A
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
C
If the Assertion is correct but Reason is incorrect.
D
If both the Assertion and Reason are incorrect.

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If the input voltage $V_i$ to the circuit below is given by $V_i(t) = A \cos (2 \pi f t)$ and the output voltage is given by $V_o(t) = B \cos (2 \pi f t + \phi)$,which one of the following four graphs best depicts the variation of $\phi$ versus $f$?

KVPY 2016

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Three alternating voltage sources $V_1 = 3 \sin \omega t \text{ V}$,$V_2 = 5 \sin(\omega t + \phi_1) \text{ V}$,and $V_3 = 5 \sin(\omega t - \phi_2) \text{ V}$ are connected in series with a resistor $R = \sqrt{\frac{7}{3}} \, \Omega$ as shown in the figure (where $\phi_1 = 30^\circ$ and $\phi_2 = 127^\circ$). Find the peak current (in Ampere) through the resistor.

Difficult

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If $L, C$ and $R$ represent inductance,capacitance and resistance respectively,then which of the following does not represent the dimensions of frequency?

MediumIIT 1984

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You are given many resistances,capacitors and inductors. These are connected to a variable $DC$ voltage source (the first two circuits) or an $AC$ voltage source of $50 \ Hz$ frequency (the next three circuits) in different ways as shown in Column $II$. When a current $I$ (steady state for $DC$ or rms for $AC$) flows through the circuit,the corresponding voltage $V_1$ and $V_2$ (indicated in circuits) are related as shown in Column $I$. Match the two.

IIT 2010

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At very high frequencies,the effective impedance of the given circuit will be $.... \Omega$.

DifficultJEE MAIN 2021

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Assertion: Ohm's law cannot be applied to $a.c.$ circuits.Reason: Resistance offered by a capacitor for an $a.c.$ source depends upon the frequency of the source.

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If the input voltage $V_i$ to the circuit below is given by $V_i(t) = A \cos (2 \pi f t)$ and the output voltage is given by $V_o(t) = B \cos (2 \pi f t + \phi)$,which one of the following four graphs best depicts the variation of $\phi$ versus $f$?

If $L, C$ and $R$ represent inductance,capacitance and resistance respectively,then which of the following does not represent the dimensions of frequency?

At very high frequencies,the effective impedance of the given circuit will be $.... \Omega$.

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Assertion: Ohm's law cannot be applied to $a.c.$ circuits.
Reason: Resistance offered by a capacitor for an $a.c.$ source depends upon the frequency of the source.