Statement I: An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor. [2023]

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Q.
Given below are two statements: [2023]

Statement I: An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.

Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor.

In the light of above statements, choose the correct answer from the options given below:

1 Both Statement I and Statement II are false

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans.
(1)

For resonance, $ϕ = 0,$ hence both inductor and capacitor must be present. Also, power factor is zero for pure inductor or pure capacitor, hence both the components consume zero average power.

Solution

1 Both Statement I and Statement II are false

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans.
(1)

For resonance, $ϕ = 0,$ hence both inductor and capacitor must be present. Also, power factor is zero for pure inductor or pure capacitor, hence both the components consume zero average power.

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Solution

1 Both Statement I and Statement II are false

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans. (1) For resonance, ϕ=0, hence both inductor and capacitor must be present. Also, power factor is zero for pure inductor or pure capacitor, hence both the components consume zero average power.

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Ans.
(1)

For resonance, $ϕ = 0,$ hence both inductor and capacitor must be present. Also, power factor is zero for pure inductor or pure capacitor, hence both the components consume zero average power.