Advertisements
Advertisements
प्रश्न
Alternating emf of e = 220 sin 100 πt is applied to a circuit containing an inductance of (1/π) henry. Write an equation for instantaneous current through the circuit. What will be the reading of the AC galvanometer connected in the circuit?
Advertisements
उत्तर
Data: e = 220 sin 100 πt, L = `(1/pi)`H
Comparing e = 220 sin 100 πt with
e = e0 sin ωt, we get
ω = 100 π
∴ ωL = (100 π)`(1/π)` = 100 Ω
∴ The instantaneous current through the circuit
= i = `"e"_0/(omega"L") sin (100π"t" - π/2)`
`= 220/100 sin (100π"t" - π/2)`
= 2.2 sin (100πt - π/2) in ampere
`"i"_"rms" = "i"_0/sqrt2 = 2.2/1.414 = 1.556 "A"` is the reading of the AC galvanometer connected in the circuit.
APPEARS IN
संबंधित प्रश्न
A resistor of 500 Ω and an inductance of 0.5 H are in series with an AC source which is given by V = `100 sqrt2` sin (1000 t). The power factor of the combination is ______.
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?
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 ____________.
An e.m.f. E = E0 sin `omega`t is applied to a circuit containing 'L' and 'R' in series. If XL = R, then the power dissipated in the circuit is ____________.
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 ______.
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 ______.
The effective capacitor between A and B in the following circuit is ______.
Explain the theory of an AC circuit with a resistor.
Where is the power dissipated in an alternating current circuit?
In an a.c. circuit, voltage and current are given by:
V = 100 sin (100 t) V and I = `100 sin (100 t + pi/3)` mA respectively.
The average power dissipated in one cycle is:
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 average power when \[\cos\phi=0\]?
In the instantaneous-power expression, what does \[I_m\] represent?
What does \[\omega\] represent in the instantaneous-power expression?
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 along the applied voltage \[V\]?
Which component of current is perpendicular to the applied voltage \[V\]?
Why is \[I_q\] called the wattless component?
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?
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 impedance of a series LCR circuit at resonance when \[R=3\,\Omega\]?
What circuit arrangement does a person walk through in a metal detector doorway?
