Chapter 21: Electromagnetic Induction and Faraday's Law; AC Circuits
MCAT Study Guide




1.  

A flat 10 turn circular coil of radius Ro is positioned in space so that the normal to the plane of the coil is parallel to the magnetic field in the space. The magnetic field is uniform in the space occupied by the coil and changes with time as depicted in the figure at the right.

The emf induced in the coil was constant and nonzero through out the time interval labeled ___.

A
B
C
D
E
F


2.  

A flat 10 turn circular coil of radius Ro is positioned in space so that the normal to the plane of the coil is parallel to the magnetic field in the space. The magnetic field is uniform in the space occupied by the coil and changes with time as depicted in the figure at the right.

The emf induced in the coil was constant and zero through out the time interval labeled ___.

A
B
C
D
E
F


3.  

A flat 10 turn circular coil of radius Ro is positioned in space so that the normal to the plane of the coil is parallel to the magnetic field in the space. The magnetic field is uniform in the space occupied by the coil and changes with time as depicted in the figure at the right.

Comparing the magnitude of the average emf induced in the coil for each of the five time intervals, the magnitude of the average emf induced in the coil was greatest for the time interval labeled ___.

A
B
C
D
E
F


4.  

A flat 10 turn circular coil of radius Ro is positioned in space so that the normal to the plane of the coil is parallel to the magnetic field in the space. The magnetic field is uniform in the space occupied by the coil and changes with time as depicted in the figure at the right.

The polarity of the induced emf in the coil ___ change during time interval B.

did
did not


5.  

A flat 10 turn circular coil of radius Ro is positioned in space so that the normal to the plane of the coil is parallel to the magnetic field in the space. The magnetic field is uniform in the space occupied by the coil and changes with time as depicted in the figure at the right.

The polarity of the induced emf in the coil ___ change during time interval C.

did
did not


6.  

The magnetic flux directed perpendicular to the plane of a flat circular coil with radius Ro and no turns varies with time as in the figure at the right.

The instantaneous emf induced in the coil is constant and zero throughout the time interval labeled ___.

A
B
C
D
E
F


7.  

The magnetic flux directed perpendicular to the plane of a flat circular coil with radius Ro and no turns varies with time as in the figure at the right.

The average emf induced in the coil is greatest for the time interval labeled ___.

A
B
C
D
E
F


8.  

The magnetic flux directed perpendicular to the plane of a flat circular coil with radius Ro and no turns varies with time as in the figure at the right.

The maximum value of the magnitude of the instantaneous emf induced in the coil occurred during the time interval labeled ___.

A
B
C
D
E
F


9.  

The magnetic flux directed perpendicular to the plane of a flat circular coil with radius Ro and no turns varies with time as in the figure at the right.

The polarity of the induced emf in the coil changed ___ times throughout the entire time interval represented by the graph.

O
1
2
3
4
5


10.  

The magnetic flux directed perpendicular to the plane of a flat circular coil with radius Ro and no turns varies with time as in the figure at the right.

The magnitude of the average emf induced in the coil during time interval A is ___ the magnitude of the average emf induced in the coil during time interval C.

equal to
less than
more than
incomparable, without additional information, with


11.  

For an ideal, step up transformer, the voltage across the secondary winding is ___ the voltage across the primary winding.

less than
equal to
more than
incomparable with


12.  

For an ideal, step up transformer, the number of turns in the secondary winding is ___ than the number of turns in the primary winding.

more than
less than
equal to
incomparable with


13.  

For an ideal, step up transformer connected to a small load, the power delivered to the load is ___ the power delivered to the primary of the transformer.

more than
less than
equal to
incomparable with


14.  

For an ideal, step down transformer connected to a small load, the current flowing in the secondary winding is ___ the current flowing in the primary winding.

less than
equal to
more than
incomparable with


15.  

In the circuit at the right, an ac power supply is connected to the series combination of a resistor with resistance R and an ideal (zero resistance and impedance) ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the resistor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin('t - ).
The ammeter and voltmeter read Io and Vo respectively.

The two frequencies, o and ', are such that o is ___ '.

equal to
less than
more than
incomparable, without additional information, with


16.  

In the circuit at the right, an ac power supply is connected to the series combination of a resistor with resistance R and an ideal (zero resistance and impedance) ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the resistor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin('t - ).
The ammeter and voltmeter read Io and Vo respectively.

The phase angle is ___ o.

O
+45
-45
+90
-90
some other value


17.  

In the circuit at the right, an ac power supply is connected to the series combination of a resistor with resistance R and an ideal (zero resistance and impedance) ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the resistor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin('t - ).
The ammeter and voltmeter read Io and Vo respectively.

The effective current flowing in the circuit, Io, is Im x ___.

1
1/2
2
1/2
2
some other value


18.  

In the circuit at the right, an ac power supply is connected to the series combination of a resistor with resistance R and an ideal (zero resistance and impedance) ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the resistor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin('t - ).
The ammeter and voltmeter read Io and Vo respectively.

If the resistance of the resistor, R, was increased slightly, Io would ___.

increase
decrease
remain constant
be impossible to predict


19.  

In the circuit at the right, an ac power supply is connected to the series combination of a resistor with resistance R and an ideal (zero resistance and impedance) ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the resistor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin('t - ).
The ammeter and voltmeter read Io and Vo respectively.

If the amplitude of the output voltage of the power supply was increased slightly, Io would ___.

remain constant
increase
decrease
be impossible to predict


20.  

In the circuit at the right, an ac power supply is connected to the series combination of a capacitor with capacitance C and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the capacitor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

The two frequencies, o and ', are such that o is ___ '.

equal to
less than
more than
incomparable, without additional information, with


21.  

In the circuit at the right, an ac power supply is connected to the series combination of a capacitor with capacitance C and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the capacitor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

The effective voltage across the capacitor, Vo, is Vm x ___.

1
1/2
2
1/2
2
some other value


22.  

In the circuit at the right, an ac power supply is connected to the series combination of a capacitor with capacitance C and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the capacitor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

If the capacitance of the capacitor, C, was increased slightly, Io would ___.

increase
decrease
remain constant
be impossible to predict


23.  

In the circuit at the right, an ac power supply is connected to the series combination of an inductor with inductance L and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the inductor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

The two frequencies, o and ', are such that o is ___ '.

equal to
less than
more than
incomparable, without additional information, with


24.  

In the circuit at the right, an ac power supply is connected to the series combination of an inductor with inductance L and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the inductor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

If the inductance of the inductor, L, was increased slightly, Io would ___.

increase
decrease
remain constant
be impossible to predict


25.  

In the circuit at the right, an ac power supply is connected to the series combination of an inductor with inductance L and an ideal ac ammeter which measures the "effective" current flowing in the circuit. An ac voltmeter which measures "effective" voltage is wired in parallel with the inductor. The instantaneous output voltage of the power supply varies with time according to
v(t) = Vm sin(ot)
and the instantaneous ac current at any point in the circuit varies with time according to
i(t) = Im sin't - .
The ammeter and voltmeter read Io and Vo respectively.

If the inductance of the inductor, L, was increased slightly, the ratio, Vo/Io would ___.

increase
decrease
remain constant
be impossible to predict


26.  

Refer to the figure at the right. A variable resistor with initial resistance Ro, a capacitor with capacitance Co and a pure variable inductor with initial inductance Lo are connected in series and then the series combination is connected to the output of an ac power supply with an effective output voltage Vo at a frequency o well above the resonant frequency of the circuit.

The effective voltage across the inductor is ___ the effective voltage across the capacitor.

equal to
more than
less than
incomparable, without additional information, with


27.  

Refer to the figure at the right. A variable resistor with initial resistance Ro, a capacitor with capacitance Co and a pure variable inductor with initial inductance Lo are connected in series and then the series combination is connected to the output of an ac power supply with an effective output voltage Vo at a frequency o well above the resonant frequency of the circuit.

If the resistance of the resistor was increased slightly, the resonant frequency of the circuit would ___.

increase
decrease
remain constant
be impossible to predict


28.  

Refer to the figure at the right. A variable resistor with initial resistance Ro, a capacitor with capacitance Co and a pure variable inductor with initial inductance Lo are connected in series and then the series combination is connected to the output of an ac power supply with an effective output voltage Vo at a frequency o well above the resonant frequency of the circuit.

If the inductance of the inductor was increased slightly, the resonant frequency of the circuit would ___.

remain constant
increase
decrease
be impossible to predict


29.  

Refer to the figure at the right. A variable resistor with initial resistance Ro, a capacitor with capacitance Co and a pure variable inductor with initial inductance Lo are connected in series and then the series combination is connected to the output of an ac power supply with an effective output voltage Vo at a frequency o well above the resonant frequency of the circuit.

If the frequency of the output voltage of the power supply was increased slightly, the impedance of the circuit would ___.

remain constant
increase
decrease
be impossible to predict


Bosworth et al, ARCO MCAT SuperCourse (MacMillan, 1997). Copyright 1997, 1996, 1994, 1991 by Stefan Bosworth, Ronald Drucker, Edgar Schnebel, Denise Garlan, Rosie Soy and Marion Brisk. Used by permission of MacMillan, Inc.

For more information, go to http://www.novapress.net/mcat/books.html.

The Virtual Prof's Physics Study Guide for the MCAT. Copyright 1997 by Glen Terrell and RonJon Publishing, Inc. Used by permission of Glen Terrell. For more information, go to http://www.virtualprof.com.


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