A series L-C-R circuit with R = 20 $Ω$ L = 1.5 H and C = 35 $μ$ F is connected to a variable frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred to the circuit in one complete cycle is

0.5 KW

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1.0 KW

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2.0 KW

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4.0 KW

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Solution

The correct option is C 2.0 KW
$P_{a v} = V_{r m s} I_{r m s} c o s Φ$
$Φ = 0 (r e s o n a n c e c o n d i t i o n)$
$h e n c e, P_{a v} = \frac{V_{r}^{2} m s}{R}$
$= \frac{200 \times 200}{20} = 2000$
2KW.

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A series L-C-R circuit with R = 20 Ω L = 1.5 H and C = 35μ F is connected to a variable frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred to the circuit in one complete cycle is

The correct option is C 2.0 KWPav=VrmsIrmscosΦ Φ=0 (resonancecondition) hence,Pav=V2rmsR =200×20020=2000 2KW.

A series L-C-R circuit with R = 20 $Ω$ L = 1.5 H and C = 35 $μ$ F is connected to a variable frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred to the circuit in one complete cycle is

The correct option is C 2.0 KW
$P_{a v} = V_{r m s} I_{r m s} c o s Φ$
$Φ = 0 (r e s o n a n c e c o n d i t i o n)$
$h e n c e, P_{a v} = \frac{V_{r}^{2} m s}{R}$
$= \frac{200 \times 200}{20} = 2000$
2KW.