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WorksheetsChapter 20: Alternating Current
Total questions: 51
Worksheet time: 26mins
A pure resistor is connected to an a.c. source where its current is given by I=5.0 sin 628t. Which of the following statements is not true about the circuit?
The peak value of current flowing through the resistor is 5.0 A
The root mean square current flowing through the resistor is 3.5 A
The frequency of the current flowing through across the resistor is 120 Hz
The equivalent direct current which gives the same average heating power in the resistor is 3.5 A
Which of the following diagrams is the correct phasor diagram for VR, VL and V?
The reactance Xc of the capacitor and the resistance R are shown in the phasor diagram. Which of the following statements describes Z and ϕ correctly?
Z is the impedance of the combined R and Xc
ϕ is the phase angle where current leads the voltage
Z is the impedance of the combined R and Xc
ϕ is the phase angle where voltage leads the current
Z is the reactance of the resistor
ϕ is the phase angle where R leads Z.
Z is the impedance of the combined R and Xc
ϕ is the phase angle where Z leads R
All of the following have the same units except:
inductance.
capacitive reactance.
impedance.
resistance.
A resistor is connected to an AC power supply. On this circuit, the current
leads the voltage by 90°.
lags the voltage by 90°.
is in phase with the voltage.
none of the given answers
A pure inductor is connected to an AC power supply. In this circuit, the current
leads the voltage by 90°.
lags the voltage by 90°.
is in phase with the voltage.
none of the given answers.
If the frequency of the AC voltage across an inductor is doubled, the inductive reactance of that inductor
increases to 4 times its original value.
increases to twice its original value.
decreases to one-half its original value.
decreases to one-fourth its original value.
What is the phase angle between the voltages of the inductor and capacitor in a RLC series circuit?
zero
90°
180°
270°
The formula for inductive reactance is
ωL1
ωC
ωC1
ωL
The equations for alternating emf and alternating current in a circuit containing capacitor are
V = V0 sin ωt, I = I0 sin(ωt−2π)
V=V0 sin ωt , I = I0 sin(ωt +2π)
V = V0 sinωt, I =I0 sin ωt
V = V0 sin(ωt +2π), I = I0 sin ωt
What happens at resonance?
Current is maximum
Impedance is maximum
Resistance is maximum
Power factor is maximum
Average power dissipated in an ideal inductor in a.c. circuit is:
Infinite
100
0
1
AC stands for
Air-condition
Direct Current
Alternating Current
Alternating Voltage
The electricity in our house is
AC
DC
BC
AD
An electric current flowing in one direction only
voltage
parallel current
direct current
electric current
The power factor of an RLC circuit is defined as cos ∅ = R/Z, but the phase angle can also be calculated from ________.
sin ∅ = (XL - XC)/Z
sin ∅ = (XL - XC)/RZ
sin ∅ = Z/(XL - XC)
sin ∅ = RZ/(XL - XC)
A capacitor 120 µF is connected to an AC source of 6 V with frequency 100 Hz. If the frequency is increased to 200 Hz, the reactance of the capacitor will be
half the original value.
same as the original value.
two times the original value.
the reciprocal of the original value.
What is alternating current
the process of inducing an emf (voltage) with a change in magnetic flux
Electric currents whose direction and magnitude change periodically depending on time are called alternating current
Steady current which delivers the same average power as the a.c. to a resistive load.
Making a rectified current more steady (or smooth) by placing a capacitor in parallel with the resistor
Which one of the below AC parameters show the effective Dc value?
Peak Value
RMS value
Peak to peak value
Frequency
A
B
C
D
A
B
C
D
Alternating current changes
Its magnitude as well as direction
Only direction but not magnitude
Only magnitude but not direction
Does not change anything
The instantaneous value of alternating voltage is
V = V0 sin 2πft
V = V0 sin 2ft
V = V0 sin 2πωt
V = V0 sin ft
The waveform of alternating current/voltage is:
Stright line
Curved
Sinusoidal
cotangent
The highest value reached by the voltage or current in one cycle is called:
Instantaneous value
Peak to peak value
Peak value
Root mean square value
In case of phasor diagram the vector rotates
Clockwise
anticlockwise
Remain stationary
None
In pure resistive AC circuit, instantaneous value of voltage or current:
Current lags behind voltage
Current leads voltage by 90
Both are in-phase
Voltage leads current by 90
The behavior of resistance in pure resistor is frequency
Dependent
Independent
No response
None of these
P= IrmsVrms cos ϕ
The power dissipation in AC circuit is given above. What does cos phi represent?
Phase factor
Gain factor
Loss factor
Power factor
Power dissipation in pure inductive or in a pure capacitive circuit is:
Infinite
Zero
Minimum
Maximum
The circuit in which current and voltage are in phase, the power factor is:
Zero
One
Two
Three
At resonance RLC series circuit shows the behavior of:
Pure resistive circuit
Pure capacitive circuit
Pure inductive circuit
Pure RLC circuit
At resonance, the phase angle for RLC series resonance circuit equals:
0°
90°
180°
270°
The condition of resonance reached when
XC > XL
XL >XC
XC =XL
XC =XL
At higher frequencies, which of the following plays a dominant role in RLC series circuit
Resistor
Capacitor
Inductor
Transistor
The impedance Z can be expressed as:
Vrms + Irms
Vrms − Irms
IrmsVrms
VrmsIrms
The combine opposition of resistor, capacitor and inductor is called
Reactance
Resistor
Impedance
Capacitance
the number of complete oscillations of the signal per unit time Is defined by?
period
peak current
frequency
The power factor is the ratio of __________________ power to _________________ power.
true and apparent
true and real
positive and negative
factor and real
When frequency decreases, capacitive reactance _____.
increases
decreases
remains the same
may increase or decrease
The power factor can be defined as the ratio of true power to _____.
apparent power
total resistance
total current
reactive power
The r.m.s value of an alternating current is given by steady (D.C) current which when flowing through a given circuit for a given time produces
the more heat than produced by A.C when flowing through the sam circuit
the less heat than produced by A.C when flowing through the sam circuit
the same heat than produced by A.C when flowing through the same circuit
What does RC stand for?
Remote Control
Radio Control
Resistor Capacitor
Rotary Club
Which one of the following statements is true?
In a capacitor, current lags voltage by 90°
In a resistor, voltage lags current by 90°
In a capacitor, voltage lags current by 90°
In a resistor, current lags voltage by 90°
The unit of inductive reactance is :
Ohm
Ampere
Farad
Henry
Inductive reactance results in a current that
Leads the voltage by 90°
Is in phase with the voltage
Leads the voltage by π rad
Lags the voltage by π/2 rad
In RLC circuit, If R is the resistance, XL is the inductive reactance and XC is the capacitive reactance, the impedance Z of the circuit is:
What words are missing from the following statement? The impedance of a series RCL circuit at resonance will be _______ and equal to the circuit _______ .
Minimum and resistance.
Maximum and resistance.
Minimum and reactance.
Maximum and reactance
Which is the correct equation of
Vrms ?Vrms=Vo
Vrms=Vo2
Vrms=2Vo
Vrms=2Vosin 2t
The maximum voltage across the inductor in an ac circuit is given by
Vo=IoXL
Vo=IrmsXL
Vrms=IrmsXL
Vo=IoL
The relationship between two alternating quantities can be represented by using
Phasor diagram
Sinusoidal graph
phasor diagram and sinusoidal graph
none of above
