## Physics XII Content

# AC through resistor, capacitor and inductor (tabular form)

The Table below is the table containing the details of AC through resistor, capacitor and inductor.

Type of circuit | Value of current | Total impedance | Remarks |

R circuit | I=E/R | Z=R | Both current and emf are in phase |

L circuit | I=E/X_{L} | Z=X_{L}=Lw | Current lags emf by π/2 |

C circuit | I=E/X_{C} | Z=X_{C}=1/Cw | Current leads emf by π/2 |

LR circuit | I=E/Z | Z=√(R^{2}+X_{L}^{2}) where X_{L}=Lw | In R: Both current and emf are in phaseIn L: Current lags emf by π/2 So θ=tan ^{-1}(Lw/R) |

RC circuit | I=E/Z | Z=√(R^{2}+X_{C}^{2}) where X_{c}=1/Cw | In R: Both current and emf are in phaseIn C: Current leads emf by π/2 So θ=tan ^{-1}(-1/CwR) |

LCR circuit | I=E/Z | Z=√{R^{2}+(X_{L}-X_{C})^{2} }where X_{c}=1/Cw, X_{L}=Lw | In R: Both current and emf are in phaseIn C: Current leads emf by π/2 In L: Current lags emf by π/2 So θ=tan ^{-1}{(Lw-1/Cw)/R} |