Advertisements
Advertisements
Question
The power factor of an a.c. circuit is 0.5. What is the phase difference between voltage and current in this circuit ?
Solution
\[\text { Power factor of an a . c . circuit } = \cos\varphi = 0 . 5\]
\[\text { where }\]
\[ \varphi = \text { Phase difference between voltage and current }\]
\[ \therefore \varphi = \cos^{- 1} (0 . 5) = 45°\]
APPEARS IN
RELATED QUESTIONS
Ajit had a high tension tower erected on his farm land. He kept complaining to the authorities to remove it as it was occupying a large portion of his land. His uncle, who was a teacher, explained to him the need for erecting these towers for efficient transmission of power. As Ajit realised its significance, he stopped complaining.
Answer the following questions:
(a) Why is it necessary to transport power at high voltage?
(b) A low power factor implies large power loss. Explain.
(c) Write two values each displayed by Ajit and his uncle.
For a given a.c., i = im sin ωt, show that the average power dissipated in a resistor R over a complete cycle is `1/2I_m^2` R .
A series AC circuit has a resistance of 4 Ω and a reactance of 3 Ω. The impedance of the circuit is
In an AC series circuit, the instantaneous currt is zero when the instantaneous voltage is maximum. Connected to the source may be a
(a) pure inductor
(b) pure capacitor
(c) pure resistor
(d) combination of an inductor and a capacitor
An AC source rated 100 V (rms) supplies a current of 10 A (rms) to a circuit. The average power delivered by the source
(a) must be 1000 W
(b) may be 1000 W
(c) may be greater than 1000 W
(d) may be less than 1000 W
In a series LCR circuit with an AC source, R = 300 Ω, C = 20 μF, L = 1.0 henry, εrms = 50 V and ν = 50/π Hz. Find (a) the rms current in the circuit and (b) the rms potential difference across the capacitor, the resistor and the inductor. Note that the sum of the rms potential differences across the three elements is greater than the rms voltage of the source.
The power factor of an a.c circuit having resistance R and inductance L Connected in series to an a.c source of angular frequency co is.
The series combination of R, L, C is connected to an a.c. source. If the resistance is 3 and the reactance is 4, the power factor of the circuit is:
In an AC. circuit, the current is :
i = `5 sin (100t - pi/2)` amp.
and the a.c. potentiol is:
V = 200 sin (100t) volt.
Then the power consumption is
An alternating current generator has an internal resistance Rg and an internal reactance Xg. It is used to supply power to a passive load consisting of a resistance Rg and a reactance XL. For maximum power to be delivered from the generator to the load, the value of XL is equal to ______.