Study the circuit (a) and (b) shown in Fig. and answer the following questions. (a) Under which conditions would the rms currents in the two circuits be the same ? Can the rms curent in circuit (b) be larger than that in (a) ?

Study the circuit (a) and (b) shown in Fig. and answer the following q

1.	Study the circuit (a) and (b) shown in Fig. and answer the following questions. (a) Under which conditions would the rms currents in the two circuits be the same ? Can the rms curent in circuit (b) be larger than that in (a) ?
Answer» Correct Answer - A Let, `(I_("rms"))a`=rms current in circuit (a) `(I_("rms"))b`=rms current in circuit (b) `(I_("rms"))a=V_(rms)/R =V/R` `(I_("rms"))b=V_("rms")/Z=V/sqrt(R^(2)+(X_(L)-X_(C))^(2)` a) When `(I_("rms"))a=(I_("rms"))b` `R=sqrt(R^(2) + (X_(L)-X_(C))^(2)` `rArr X_(L) = X_(C)`, resonance condition. b) As `Z gt-R` `rArr (I_("rms")a)/(I_("rms")b)=sqrt(R^(2)+(X_(L)-X_(C))^(2)/R` `=Z/R ` `rArr (I_("rms"))agt-(I_("rms"))b` No, the rms current in circuit (b), cannot be larger than that in a).

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Study the circuit (a) and (b) shown in Fig. and answer the following questions. (a) Under which conditions would the rms currents in the two circuits be the same ? Can the rms curent in circuit (b) be larger than that in (a) ?

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