Advertisements
Advertisements
Question
In a series LCR circuit, the phase difference between the voltage and the current is 45°. Then the power factor will be ______.
Options
0.607
0.707
0.808
1
Solution
In a series LCR circuit, the phase difference between the voltage and the current is 45°. Then the power factor will be 0.707.
Explanation:
Let, Inductance = L
Conductance = C
Resistance = R
Frequency = f
Phase Difference between current and voltage = `phi`
As, in LCR circuit,
Power Factor = `cos phi`
Substitute the given values from,
`phi = 45^circ`
`cos 45^circ = 1/sqrt(2)`
Therefore, P.F = 0.707
APPEARS IN
RELATED QUESTIONS
Obtain an expression for average power dissipated in a purely resistive A.C. circult.
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 ______.
Answer in brief.
What is wattles current?
Prove that an ideal capacitor in an AC circuit does not dissipate power
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)
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?
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.
What is meant by wattles current?
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.
In series 'LR' circuit and in series 'RC' circuit, same current is flowing. If the frequency of e.m.f. of a.c. is increased for both the circuits, the impedance will ____________.
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 ______.
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 ______.
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?
