हिंदी

An AC circuit consists of only an inductor of inductance 2 H. If the current is represented by a sine wave of amplitude 0.25 A and frequency 60 Hz, calculate the effective

Advertisements
Advertisements

प्रश्न

An AC circuit consists of only an inductor of inductance 2 H. If the current is represented by a sine wave of amplitude 0.25 A and frequency 60 Hz, calculate the effective potential difference across the inductor. (π = 3.142)

संक्षेप में उत्तर
Advertisements

उत्तर

Data: L = 2H, i0 = 0.25A, f = 60 Hz, n = 3.142

ωL = 2πfL = 2(3.142)(60)(2) = 754.1 Ω

The effective potential difference across the inductor = `omega"Li"_"rms" = omega"L" "i"_0/sqrt2`

`= ((754.1)(0.25))/1.414 = 133.3 "V"`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: AC Circuits - Exercises [पृष्ठ ३०५]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
अध्याय 13 AC Circuits
Exercises | Q 15. | पृष्ठ ३०५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

When an AC source is connected to an ideal inductor show that the average power supplied by the source over a complete cycle is zero.


(a) An emf e = e0 sin ωt applied to a series L - C - R circuit derives a current I = I0sinωt in the circuit. Deduce the expression for the average power dissipated in the circuit.
(b) For circuits used for transporting electric power, a low power factor implies large power loss in transmission. Explain.


An AC source generating a voltage e = e0sinωt is connected to a capacitor of capacitance C. Find the expression for the current i flowing through it. Plot a graph of e and i versus ωt.


A 100 μF capacitor is charged with a 50 V source supply. Then source supply is removed and the capacitor is connected across an inductance, as a result of which 5A current flows through the inductance. Calculate the value of the inductance.


What is meant by wattles current?


L-C-R series circuit contains a resistance of 10 Ω and self-inductance 0.4 H connected in series with variable capacitor across 60 V and 50 Hz supply. The value of capacity at resonance will be π2 = 10.


An alternating e.m.f. of 0.2 V is applied across an LCR series circuit having R = 4 `Omega`, C = 80 µF and L = 200 mH. At resonance the voltage drop across the inductor is ____________.


In series 'LR' circuit and in series 'RC' circuit, same current is flowing. If the frequency of e.m.f. of a.c. is increased for both the circuits, the impedance will ____________.


In LCR series circuit, an alternating e.m.f. 'e' and current 'i' are given by the equations e = 100 sin (100 t) volt,

`"i" = 100  "sin" (100"t" + pi/3)"mA"`.

The average power dissipated in the circuit will be ____________.


An e.m.f. E = E0 sin `omega`t is applied to a circuit containing 'L' and 'R' in series. If XL = R, then the power dissipated in the circuit is ____________.


Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at 40 cm from left end. A 30 Ω resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of smaller resistance Ω is ______.


In series LCR circuit R = 18 Ω and impedance is 33 Ω An rms voltage 220V is applied across the circuit. The ture power consumed in AC circuit is ______.


A conductor lies along the Z-axis at −1.5 ≤ Z ≤ 1.5 m and carries a fixed current of 10.0 A in −az​ direction as (see figure). For a field B = 3.0 × 10−4`"e"^(−0.2"x")`ay ​T, find the power required to move the conductor at constant speed to x = 2.0 m, y = 0 in 5 × 10−3 s. Assume parallel motion along the x-axis.


What is the average value of alternating current over a complete cycle?


The power factor of LCR circuit is ______.


Explain the theory of an AC circuit with a resistor. 


In an a.c. circuit, voltage and current are given by:

V = 100 sin (100 t) V and I = `100 sin (100 t + pi/3)` mA respectively.

The average power dissipated in one cycle is:


What is the power in a DC circuit?


Why is power delivered to an AC circuit not simply the product of voltage and current magnitudes?


What is the phase angle in a pure resistive circuit?


In the instantaneous-power expression, what does \[V_m\] represent?


In the instantaneous-power expression, what does \[I_m\] represent?


What does \[\omega\] represent in the instantaneous-power expression?


What does \[\phi\] represent in the voltage and current expressions for a series LCR circuit?


In a circuit where current lags voltage, which ratio gives the power factor?


Which component of current is perpendicular to the applied voltage \[V\]?


Why is \[I_q\] called the wattless component?


Why is \[I_p\] known as the power component?


After the lagging and leading wattless currents cancel, what is the effective power?


For a series LCR circuit with \[R=3\,\Omega\], \[L=25.48\,\mathrm{mH}\], \[C=796\,\mu\mathrm{F}\], and frequency \[50\,\mathrm{Hz}\], what is the inductive reactance?


For a series LCR circuit with \[C=796\,\mu\mathrm{F}\] and frequency \[50\,\mathrm{Hz}\], what is the capacitive reactance?


What is the impedance of a series LCR circuit with \[R=3\,\Omega\], \[X_L=8\,\Omega\], and \[X_C=4\,\Omega\]?


What phase difference is obtained from \[\phi=\tan^{-1}((X_C-X_L)/R)\] when \[X_C=4\,\Omega\], \[X_L=8\,\Omega\], and \[R=3\,\Omega\]?


What is the resonance frequency corresponding to \[\omega_0=222.1\,\mathrm{rad/s}\]?


What is the impedance of a series LCR circuit at resonance when \[R=3\,\Omega\]?


On what principle does a metal detector doorway work?


What circuit arrangement does a person walk through in a metal detector doorway?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×