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,

Question

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, (A) P1 >P2 >P3 (B) P1= P2< P3 (C) P1= P2 >P3 (D) P1= P2=P3

Tardigrade Admin · Accepted Answer

The L C circuit draws no power. When ω L=(1/ω C), the impedance of the R C and L R circuits are equal, and hence they draw the same power. ∴ P1=P2 >P3

$P_{1} > P_{2} > P_{3}$

$P_{1} = P_{2} < P_{3}$

$P_{1} = P_{2} > P_{3}$

$P_{1} = P_{2} = P_{3}$

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

Q. 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 RC,RL and LC in series. Assume that ωL=ωC1​⋅ The power drawn by the three combinations are P1​,P2​,P3​ respectively. Then,

P1​>P2​>P3​

P1​=P2​<P3​

P1​=P2​>P3​

P1​=P2​=P3​

The LC circuit draws no power. When ωL=ωC1​, the impedance of the RC and LR circuits are equal, and hence they draw the same power. ∴P1​=P2​>P3​

$P_{1} > P_{2} > P_{3}$

$P_{1} = P_{2} < P_{3}$

$P_{1} = P_{2} > P_{3}$

$P_{1} = P_{2} = P_{3}$

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