1. Tardigrade
  2. Question
  3. Physics
  4. An inductance L, a capacitance C and a resistance R may be connected to an ac source of angular frequency ω, in three different combinations of R C, R L and L C in series. Assume that ω L=(1/ω C) ⋅ The power drawn by the three combinations are P1, P2, P3 respectively. Then,

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Q. An inductance $L$, a capacitance $C$ and a resistance $R$ may be connected to an ac source of angular frequency $\omega$, in three different combinations of $R C, R L$ and $L C$ in series. Assume that $\omega L=\frac{1}{\omega C} \cdot$ The power drawn by the three combinations are $P_{1}, P_{2}, P_{3}$ respectively. Then,

Alternating Current

Solution:

The $L C$ circuit draws no power.
When $\omega L=\frac{1}{\omega C}$, the impedance of the $R C$ and $L R$ circuits are equal, and hence they draw the same power.
$\therefore P_{1}=P_{2} >P_{3}$