हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

An Inductor-coil, a Capacitor and an Ac Source of Rms Voltage 24 V Are Connected in Series. When the Frequency of the Source is Varied, a Maximum Rms Current of 6.0 a is Observed.

Advertisements
Advertisements

प्रश्न

An inductor-coil, a capacitor and an AC source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and internal resistance 4.0 Ω, what will be the current?

योग
Advertisements

उत्तर

RMS value of voltageErms = 24 V
Internal resistance of battery, r = 4 Ω
RMS value of current, Irms = 6 A
Reactance (R) is given by,
`R = E/I_{rms}`
`rArr R = 24/6 =4 Ω`
Let R' be the total resistance of the circuit. Then,
   R' = R + r
`rArr R = 4Ω + 4Ω `
`rArr R = 8 Ω `
Current, I = `12/8 A`
                = 1.5 A

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 39: Alternating Current - Exercises [पृष्ठ ३३०]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 39 Alternating Current
Exercises | Q 17 | पृष्ठ ३३०

संबंधित प्रश्न

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


Show that in an AC circuit containing a pure inductor, the voltage is ahead of current by π/2 in phase.


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


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?


Obtain if the circuit is connected to a 110 V, 12 kHz supply? Hence, explain the statement that a capacitor is a conductor at very high frequencies. Compare this behaviour with that of a capacitor in a dc circuit after the steady state.


Alternating current is so called because _______.


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


An inductor, a resistor 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 of the ______.

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 ______.


Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.


An electrical device draws 2kW power from AC mains (voltage 223V (rms) = `sqrt(50,000)` V). The current differs (lags) in phase by `phi(tan phi = (-3)/4)` as compared to voltage. Find (i) R, (ii) XC – XL, and (iii) IM. Another device has twice the values for R, XC and XL. How are the answers affected?


An ac voltage V = V0 sin ωt is applied across a pure inductor of inductance L. Find an expression for the current i, flowing in the circuit and show mathematically that the current flowing through it lags behind the applied voltage by a phase angle of `π/2`. Also draw graphs of V and i versus ωt for the circuit.


What is the ratio of inductive and capacitive reactance in an ac circuit?


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


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×