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) ?

Explanation

`I_("rms(a)") = (V_("ms"))/(R )= (V)/( R)I_("rms(b)")= (V_("ms"))/(Z) = (V)/(sqrt(R^2 + (X_(L) - X_( C))^2))`
(a) `I_("rms(a)" = I_("rms(b)")`
when `X_(L) = X_( c)` (resonance condition)
`I_("rms(a)")/(I_("rms(b)")) = (Z)/(R )= 1`
(b) As `z ge R I_("rms(a)") ge I_("rms(b)")`
No, the rms current in circuit (b), cannot be larger than that in (a).