Advertisements
Advertisements
प्रश्न
A 100 μF capacitor is charged with a 50 V source supply. Then source supply is removed and the capacitor is connected across an inductance, as a result of which 5A current flows through the inductance. Calculate the value of the inductance.
Advertisements
उत्तर
Here, C = 100 μF = 100 × 10−6 F = 10−4 F
V = 50 volt, i = 5A, L = ?
The energy stored in the electric field in the capacitor = `1/2"CV"^2`
The energy stored in the magnetic field in the inductor = `1/2"Li"^2`
As energy stored in inductor = energy stored in capacitor,
∴ `1/2"CV"^2 = 1/2"Li"^2`
∴ L = `"C" "V"^2/"i"^2`
∴ L = C`("V"/"i")^2`
`= 10^-4(50/5)^2 = 10^-4 xx 10^2 = 10^-2 "H"`
APPEARS IN
संबंधित प्रश्न
What is wattles current?
When an AC source is connected to an ideal inductor show that the average power supplied by the source over a complete cycle is zero.
Prove that an ideal capacitor in an AC circuit does not dissipate power
(a) An emf e = e0 sin ωt applied to a series L - C - R circuit derives a current I = I0sinωt in the circuit. Deduce the expression for the average power dissipated in the circuit.
(b) For circuits used for transporting electric power, a low power factor implies large power loss in transmission. Explain.
An AC source generating a voltage e = e0sinωt is connected to a capacitor of capacitance C. Find the expression for the current i flowing through it. Plot a graph of e and i versus ωt.
A light bulb is rated 100W for 220 V AC supply of 50 Hz. Calculate
- resistance of the bulb.
- the rms current through the bulb
An AC circuit consists of only an inductor of inductance 2 H. If the current is represented by a sine wave of amplitude 0.25 A and frequency 60 Hz, calculate the effective potential difference across the inductor. (π = 3.142)
A 25 μF capacitor, a 0.10 H inductor, and a 25Ω resistor are connected in series with an AC source whose emf is given by e = 310 sin 314 t (volt). What is the frequency, reactance, impedance, current, and phase angle of the circuit?
What is meant by wattles current?
Give any one definition of power factor.
L-C-R series circuit contains a resistance of 10 Ω and self-inductance 0.4 H connected in series with variable capacitor across 60 V and 50 Hz supply. The value of capacity at resonance will be π2 = 10.
An alternating e.m.f. of 0.2 V is applied across an LCR series circuit having R = 4 `Omega`, C = 80 µF and L = 200 mH. At resonance the voltage drop across the inductor is ____________.
In series LCR circuit, resistance is 18 `Omega` and impedance is 33 `Omega`. An r.m.s. voltage of 220 V is applied across the circuit. The true power consumed in a.c. circuit is ____________.
In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e = 100 sin (100 t) volt,
`"i" = 100 "sin" (100"t" + pi/3)"mA"`.
The average power dissipated in the circuit will be ____________.
The voltage gain of a CE amplifier is 50. A sinusoidal ac of amplitude 10 mV is applied as a signal. The output of the amplifier will be ______.
In a series LR circuit XL = R and power factor of the circuit is P1. When capacitor with capacitance C such that XL= XC is put in series, the power factor becomes P2. The ratio `"P"_1/"P"_2` is ______.
Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at 40 cm from left end. A 30 Ω resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of smaller resistance Ω is ______.
In series LCR circuit R = 18 Ω and impedance is 33 Ω An rms voltage 220V is applied across the circuit. The ture power consumed in AC circuit is ______.
A conductor lies along the Z-axis at −1.5 ≤ Z ≤ 1.5 m and carries a fixed current of 10.0 A in −az direction as (see figure). For a field B = 3.0 × 10−4`"e"^(−0.2"x")`ay T, find the power required to move the conductor at constant speed to x = 2.0 m, y = 0 in 5 × 10−3 s. Assume parallel motion along the x-axis.
What is the average value of alternating current over a complete cycle?
The power factor of LCR circuit is ______.
The effective capacitor between A and B in the following circuit is ______.
Where is the power dissipated in an alternating current circuit?
What is the power in a DC circuit?
Why is power delivered to an AC circuit not simply the product of voltage and current magnitudes?
What is the phase angle in a pure resistive circuit?
What is another name for wattless current?
What is the average power when \[\cos\phi=0\]?
In the instantaneous-power expression, what does \[I_m\] represent?
What does \[\phi\] represent in the voltage and current expressions for a series LCR circuit?
In a circuit where current lags voltage, which ratio gives the power factor?
Which component of current is perpendicular to the applied voltage \[V\]?
Why is \[I_p\] known as the power component?
After the lagging and leading wattless currents cancel, what is the effective power?
For a series LCR circuit with \[R=3\,\Omega\], \[L=25.48\,\mathrm{mH}\], \[C=796\,\mu\mathrm{F}\], and frequency \[50\,\mathrm{Hz}\], what is the inductive reactance?
For a series LCR circuit with \[C=796\,\mu\mathrm{F}\] and frequency \[50\,\mathrm{Hz}\], what is the capacitive reactance?
What is the impedance of a series LCR circuit with \[R=3\,\Omega\], \[X_L=8\,\Omega\], and \[X_C=4\,\Omega\]?
What phase difference is obtained from \[\phi=\tan^{-1}((X_C-X_L)/R)\] when \[X_C=4\,\Omega\], \[X_L=8\,\Omega\], and \[R=3\,\Omega\]?
What is the resonance frequency corresponding to \[\omega_0=222.1\,\mathrm{rad/s}\]?
On what principle does a metal detector doorway work?
What circuit arrangement does a person walk through in a metal detector doorway?
