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. [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
Given below are two statements: [2023]

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:

1 Statement I is false but Statement II is true

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Both Statement I and Statement II are false

Ans.
(3)

$Power will be maximum when impedance is minimum$

$Z = {[R^{2} + {(X_{L} - X_{C})}^{2}]}^{\frac{1}{2}}$

$At resonance, X_{L} = X_{C}$

$Z_{\min} = R$

Solution

1 Statement I is false but Statement II is true

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Both Statement I and Statement II are false

Ans.
(3)

$Power will be maximum when impedance is minimum$

$Z = {[R^{2} + {(X_{L} - X_{C})}^{2}]}^{\frac{1}{2}}$

$At resonance, X_{L} = X_{C}$

$Z_{\min} = R$

Want Us to Email you About Special Offers & Updates?

Solution

1 Statement I is false but Statement II is true

2 Statement I is true but Statement II is false

3 Both Statement I and Statement II are true

4 Both Statement I and Statement II are false

Ans. (3) Power will be maximum when impedance is minimum Z=[R2+(XL-XC)2]12 At resonance, XL=XC Zmin=R

Want Us to Email you About Special Offers & Updates?

Ans.
(3)

$Power will be maximum when impedance is minimum$

$Z = {[R^{2} + {(X_{L} - X_{C})}^{2}]}^{\frac{1}{2}}$

$At resonance, X_{L} = X_{C}$

$Z_{\min} = R$