Advertisements
Advertisements
प्रश्न
A 60 µF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.
उत्तर
Capacitance of capacitor, C = 60 μF = 60 × 10−6 F
Supply voltage, V = 110 V
Frequency, f = 60 Hz
Angular frequency, ω = 2πr
Capacitive reactance Xc = `1/(ω"C")`
= `1/(2pi "fC")`
= `1/(2 xx 3.14 xx 60 xx 60 xx 10^-6)`
= 44.2 Ω
The rms value of current is given as:
`"I" = "V"/"X"_"c"`
= `110/44.2`
= 2.49 A
Hence, the rms value of the current is 2.49 A.
APPEARS IN
संबंधित प्रश्न
How will you define RMS value of an alternating current?
Define inductive reactance and give its units.
Obtain an expression for average power of AC over a cycle. Discuss its special cases.
Calculate the instantaneous value at 60°, average value and RMS value of an alternating current whose peak value is 20 A.
Why is choke coil needed in the use of fluorescent tubes with ac mains? Why can we not use an ordinary resistor instead of the choke coil?
The phase relationship between current and voltage in a pure resistive circuit is best represented by ______.
In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit?
In an a.c circuit, peak value of voltage is 423 volts, its effective voltage is ______.
Which of the following is independent of the frequency of a.c?
For a series LCR circuit, I vs ω curve is shown:
- To the left of ωr, the circuit is mainly capacitive.
- To the left of ωr, the circuit is mainly inductive.
- At ωr, impedance of the circuit is equal to the resistance of the circuit.
- At ωr, impedance of the circuit is 0.
An inductor of 0.5 mH, a capacitor of 200 µF, and a resistor of 2Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be ______ × 102 Hz.
A direct current of 4 A and an alternating current of peak value 4 A flow through resistance of 3Ω and 2Ω respectively. The ratio of heat produced in the two resistances in same interval of time will be ______.
A series CR circuit with R = 200 Ω and C = (50/π) µF is connected across an ac source of peak voltage ε0 = 100 V and frequency v = 50 Hz. Calculate (a) impedance of the circuit (Z), (b) phase angle (Φ), and (c) voltage across the resistor.
An alternating current I = 14 sin (100 πt) A passes through a series combination of a resistor of 30 Ω and an inductor of `(2/(5pi))` H. Taking `sqrt2` = 1.4 calculate the rms value of the voltage drops across the resistor and the inductor.
