हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.

Advertisements
Advertisements

प्रश्न

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.

संख्यात्मक
Advertisements

उत्तर

Inductance of inductor, L = 44 mH = 44 × 10−3 H

Supply voltage, V = 220 V

Frequency, v = 50 Hz

Angular frequency, ω = 2πv

Inductive reactance, XL = ω L = 2πvL

= 2π × 50 × 44 × 10−3 Ω

The rms value of current is given as:

`"I" = "V"/"X"_"L"`

= `220/(2pi xx 50 xx 44 xx 10^-3)`

= 15.92 A

Hence, the rms value of the current in the circuit is 15.92 A.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Alternating Current - EXERCISES [पृष्ठ २००]

APPEARS IN

एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 7 Alternating Current
EXERCISES | Q 7.3 | पृष्ठ २००
एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 7 Alternating Current
Exercise | Q 7.3 | पृष्ठ २६६

संबंधित प्रश्न

An inductor, a resistance and a capacitor are joined in series with an AC source. As the frequency of the source is slightly increased from a very low value, the reactance


An inductor coil of some resistance is connected to an AC source. Which of the following quantities have zero average value over a cycle?
(a) Current
(b) Induced emf in the inductor
(c) Joule heat
(d) Magnetic energy stored in  the inductor


An inductance of 2.0 H, a capacitance of 18μF and a resistance of 10 kΩ is connected to an AC source of 20 V with adjustable frequency.
(a) What frequency should be chosen to maximize the current in the circuit?
(b) What is the value of this maximum current?


A coil of inductance 0.50 H and resistance 100 Ω is connected to a 240 V, 50 Hz ac supply.

(a) What is the maximum current in the coil?

(b) What is the time lag between the voltage maximum and the current maximum?


Obtain if the circuit is connected to a high-frequency supply (240 V, 10 kHz). Hence, explain the statement that at very high frequency, an inductor in a circuit nearly amounts to an open circuit. How does an inductor behave in a dc circuit after the steady state?


An applied voltage signal consists of a superposition of a dc voltage and an ac voltage of high frequency. The circuit consists of an inductor and a capacitor in series. Show that the dc signal will appear across C and the ac signal across L.


In a circuit containing resistance only, voltage and current are ______.


If circuit containing inductance only, the current ______.


The graph between inductive reactance and frequency is ______.

An inductive circuit contains resistance of 10 ohms and an inductance of 2 henry. If an A.C. voltage of 120 Volts and frequency 60 Hz is applied to this circuit, the current would be nearly ______.


An ideal inductor is connected across an AC source of voltage. The current in the circuit ______.


Draw a phasor diagram showing e and i in the case of a purely inductive circuit. A 40-turn square coil of side 0.2 m is placed in a magnetic field of induction 0.05 T with the plane of the coil perpendicular to the direction of the field. If the magnetic induction is uniformly reduced to zero in 5 milliseconds, find the emf induced in the coil.


The magnetic energy stored in an inductor of inductance 4 µH carrying a current of 2 A is ______.


In an AC circuit with a bulb and inductor, what happens to the bulb’s brightness when an iron rod is inserted into the inductor?


The inductive reactance XL​ of a purely inductive circuit is given by ______.


A series LCR circuit is subjected to an AC signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×