Given below are two statements: Statement I : Maximum power is di… - Vidyadip

MCQ

Given below are two statements:

Statement $I :$ Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an $AC$ source, when resonance occurs

Statement $II :$ Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

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

A
Statement $I$ is false but Statement $II$ is true
B
Statement $I$ is true but Statement $II$ is false
✓
Both Statement $I$ and Statement $II$ are true
D
Both Statement $I$ and Statement $II$ are false

✓

Answer

Correct option: C.

Both Statement $I$ and Statement $II$ are true

c
Power will be maximum when impedance is minimum

$Z =\left[ R ^2+\left( X _{ L }- X _{ C }\right)^2\right]^{\frac{1}{2}}$

At resonance, $X _{ L }= X _{ C }$

$Z_{\min }=R$

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