Advertisements
Advertisements
प्रश्न
In an AC circuit, e and i are given by e = 150 sin(150t)V and i = 150 sin `(150t + π/3)` A. The power dissipated in the circuit is ______.
विकल्प
106W
150W
5625W
Zero
Advertisements
उत्तर
In an AC circuit, e and i are given by e = 150 sin(150t)V and i = 150 sin `(150t + π/3)` A. The power dissipated in the circuit is 5625W.
Explanation:
Let, Voltage supplied = V = `150 sin(150t)` .....(1)
Current flowing = I = `150 sin(150t + pi/3)` .....(2)
∵ `V = V_0 sin(wt)`
So, on comparing it with (1), we get
`V_0 = 150V` .....(3)
Also,
∵ `I = I_0 sin(wt + phi)`
So, on comparing it with (2), we get
`I_0 = 150A` ....(4)
`phi = pi/3` .....(5)
As, the power in the AC circuit is given by:
`P = 1/2V_0I_0 cos phi` ....(6)
Put the values in equations (3), (4), (5) and (6) and calculate:
∴ `P = 1/2 xx 150 xx 150 xx cos 60`
P = 5625W
संबंधित प्रश्न
An electric lamp is connected in series with a capacitor and an AC source is glowing with a certain brightness. How does the brightness of the lamp change on increasing the capacitance?
An electric current in an LC – circuit at resonance is called - ______
If AC voltage is applied to a pure capacitor, then the voltage across the capacitor ______
A coil of resistance 300Ω and inductance 1.0 H is connected across an alternating voltage of frequency `300/(2pi)` Hz, therefore phase difference between the voltage and current in the circuit is ______
State the equation for impedance Z in an A.C. circuit.
Explain term impedance and state the formula for it in the case of an LCR series circuit.
A series LCR circuit has resistance 10Ω and reactance is `7sqrt2` Ω. What is the impedance of the circuit?
What is the capacitive reactance of a capacitor of 5µF at a frequency of (1) 50 Hz and (2) 20KHZ?
What is the inductive reactance of a coil of inductance 10mH at a frequency
- 50 Hz
- 1000 Hz
- 20 kHz?
Explain the term inductive reactance. State its unit and dimensions.
Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to an LR circuit.
Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to a CR circuit.
The standard voltage of A.C. mains in India is ______
For circuit shown in figure IE = 4 mA, IB = 40 µA. What are the values of ex, and le respectively?
In amplitude modulation. the amplitude of carrier wave is Ac and that of the modulating signal is Am· In practice, the ratio of Am to Ac is kept less than or equal to one, to avoid ______.
An RC Circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to:
A telegraph line of length 100 km has a capacity of 0.01 µF/ km and it carries an alternating current at 0.5 kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in series is ______ mH. (if π = `sqrt10`)
