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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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Answer» Solution :`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 RI_("rms(a)") ge I_("rms(b)")` No, the rms current in circuit (b), cannot be larger than that in (a). |
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