Advertisements
Advertisements
प्रश्न
Figure 4 below shows a capacitor C, an inductor L and a resistor R, connected in series
to an a.c. supply of 220 V
Calculate:
1) The resonant frequency of the given CLR circuit.
2) Current flowing through·the circuit.
3) Average power consumed by the circuit.
Advertisements
उत्तर
`E_"rms" = 220 V`
`C = 25 muF`
`L = (4/pi^2)H`
R = 100 Ω
1) Resonant Frequency
`f_r = 1/(2pisqrt(LC))`
`= 1/(2xx 3.14 xx sqrt(4/pi^2 xx 25 xx 10^(-6)))`
`= 1/(2xx3.14 xx 2/3.14 xx 5 xx 10^(-3)) `
= 50 Hz
2) Inpedance (Z) = `sqrt(R^2 + (X_L - X_C)^2)`
`X_L = 127.3 Ω, X_C = 127.3 Ω`
Z = `sqrt(100^2 + (127.3 - 127.3)^2 )`
`Z = sqrt(100^2)`
Z = 100 Ω
`I_"rms" = E_"rms"/2`
`= 220/100`
`I_"rms" = 2.2 A`
3) Average power consumed by the circuit
Power = `E_"rms" xx I_"rms" xx R/sqrt(R^2 + (Lomega - 1/(Comega)))`
z = R
∴ Power = `E_"rms" xx I_"rms"`
Power = 484 watt
APPEARS IN
संबंधित प्रश्न
Two capacitors of unknown capacitances C1 and C2 are connected first in series and then in parallel across a battery of 100 V. If the energy stored in the two combinations is 0.045 J and 0.25 J respectively, determine the value of C1 and C2. Also calculate the charge on each capacitor in parallel combination.
An electrical technician requires a capacitance of 2 µF in a circuit across a potential difference of 1 kV. A large number of 1 µF capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the minimum number of capacitors.
The plates of a parallel-plate capacitor are given equal positive charges. What will be the potential difference between the plates? What will be the charges on the facing surfaces and on the outer surfaces?
A parallel-plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let Q, and Q be the charges appearing on the positive and negative plates respectively.
A parallel-plate capacitor is connected to a battery. A metal sheet of negligible thickness is placed between the plates. The sheet remains parallel to the plates of the capacitor.
The plates of a capacitor are 2⋅00 cm apart. An electron-proton pair is released somewhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the positive plate. At what distance from the negative plate was the pair released?
Capacitors connected in series have ______
In the circuit shown in figure, initially K1 is closed and K2 is open. What are the charges on each capacitors.
Then K1 was opened and K2 was closed (order is important), What will be the charge on each capacitor now? [C = 1µF]
The total charge on the system of capacitors C1 = 1 µF, C2 = 2 µF, C3 = 4 µF and C4 = 3 µF connected in parallel is ______. (Assume a battery of 20 V is connected to the combination)
