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Drift velocity: A silver wire has a cross sectional area A = 2.0 mm2. A total of 9.4 × 1018 electrons pass through the wire in 3.0 s. The conduction electron density in silver is 5.8 × 1028 electrons/m3 and e = 1.60 × 10-19 C. What is the drift velocity of these electrons?


A) 2.7 × 10-5 m/s
B) 9.1 × 10-5 m/s
C) 5.2 × 10-5 m/s
D) 1.1 × 10-5 m/s
E) 7.4 × 10-5 m/s

F) C) and E)
G) A) and D)

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Ohm's law: How much current will be flowing through a 40.0 m length of cylindrical metal wire with radius 0.0 mm if it is connected to a source supplying 16.0 V? The resistivity of this metal is 1.68 × 10-8 Ω ∙ m.


A) 1200 A
B) 9.5 × 108 A
C) 68 nA
D) 710 A

E) B) and C)
F) A) and C)

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Power: A 110-V hair dryer is rated at 1200 W. What current will it draw when operating from a 110-V electrical outlet?


A) 90 mA
B) 1.0 A
C) 5.0 A
D) 11 A
E) 14 A

F) A) and B)
G) B) and D)

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D

Power: A 1500-W heater is connected to a 120-V line. How much heat energy does it produce in 2.0 hours?


A) 1.5 kJ
B) 3.0 kJ
C) 0.18 MJ
D) 11 MJ
E) 18 MJ

F) B) and E)
G) A) and E)

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Resistivity: A wire of resistivity ρ must be replaced in a circuit by a wire of the same material but 4 times as long. If, however, the resistance of the new wire is to be the same as the resistance of the original wire, the diameter of the new wire must be


A) the same as the diameter of the original wire.
B) 1/2 the diameter of the original wire.
C) 1/4 the diameter of the original wire.
D) 2 times the diameter of the original wire.
E) 4 times the diameter of the original wire.

F) B) and D)
G) B) and E)

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Ohm's law: When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be


A) 2/9 A.
B) 2/3 A.
C) 2 A.
D) 3 A.
E) 18 A.

F) A) and E)
G) B) and E)

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Power: The power rating of a 400-Ω resistor is 0.800 W. (a) What is the maximum voltage that can be applied across this resistor without damaging it? (b) What is the maximum current this resistor can draw without damaging it?

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(a) 17.9 V...

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Resistivity: What must be the diameter of a cylindrical 120-m long metal wire if its resistance is to be 6.0 Ω? The resistivity of this metal is 1.68 × 10-8 Ω ∙ m.


A) 0.065 mm
B) 0.65 mm
C) 0.65 cm
D) 0.325 mm
E) 0.0325 mm

F) B) and C)
G) None of the above

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Electric field in a wire: A tube of mercury with resistivity 9.84 × 10-7 Ω ∙ m has an electric field inside the column of mercury of magnitude 23 N/C that is directed along the length of the tube. How much current is flowing through this tube if its diameter is 1.0 mm?


A) 18 A
B) 180 A
C) 29 A
D) 280 A

E) All of the above
F) None of the above

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Current: The figure shows a 2.0-cm diameter roller that turns at 90 rpm. A 4.0-cm wide plastic film is being wrapped onto the roller, and this plastic carries an excess electric charge having a uniform surface charge density of 5.0 nC/cm2. What is the current of the moving film? Current: The figure shows a 2.0-cm diameter roller that turns at 90 rpm. A 4.0-cm wide plastic film is being wrapped onto the roller, and this plastic carries an excess electric charge having a uniform surface charge density of 5.0 nC/cm<sup>2</sup>. What is the current of the moving film? A) 190 nA B) 23 μA C) 30 nA D) 11 μA


A) 190 nA
B) 23 μA
C) 30 nA
D) 11 μA

E) A) and C)
F) A) and B)

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Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J0 (r/R) , where R is the radius of the beam and J0 is the current density at the edge. Determine the value of J0.


A) 25 A/ Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J<sub>0</sub> (r/R) , where R is the radius of the beam and J<sub>0</sub> is the current density at the edge. Determine the value of J<sub>0</sub>. A) 25 A/ B) 6.2 A/ C) 12 A/ D) 17 A/
B) 6.2 A/ Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J<sub>0</sub> (r/R) , where R is the radius of the beam and J<sub>0</sub> is the current density at the edge. Determine the value of J<sub>0</sub>. A) 25 A/ B) 6.2 A/ C) 12 A/ D) 17 A/
C) 12 A/ Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J<sub>0</sub> (r/R) , where R is the radius of the beam and J<sub>0</sub> is the current density at the edge. Determine the value of J<sub>0</sub>. A) 25 A/ B) 6.2 A/ C) 12 A/ D) 17 A/
D) 17 A/ Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J<sub>0</sub> (r/R) , where R is the radius of the beam and J<sub>0</sub> is the current density at the edge. Determine the value of J<sub>0</sub>. A) 25 A/ B) 6.2 A/ C) 12 A/ D) 17 A/

E) All of the above
F) C) and D)

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Internal battery resistance: In the figure, when the terminal voltage Vab of the battery is equal to 20 V, how much current passes through the battery, including its direction? Internal battery resistance: In the figure, when the terminal voltage V<sub>ab</sub> of the battery is equal to 20 V, how much current passes through the battery, including its direction? A) 4 A, from a to b B) 5 A, from a to b C) 6 A, from a to b D) 4 A, from b to a E) 5 A, from b to a


A) 4 A, from a to b
B) 5 A, from a to b
C) 6 A, from a to b
D) 4 A, from b to a
E) 5 A, from b to a

F) C) and E)
G) None of the above

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Power: The voltage and power ratings of a particular light bulb, which are its normal operating values, are 110 V and 60 W. Assume the resistance of the filament of the bulb is constant and is independent of operating conditions. If the light bulb is operated at a reduced voltage and the power drawn by the bulb is 36 W, what is the operating voltage of the bulb?


A) 66 V
B) 72 V
C) 78 V
D) 85 V
E) 90 V

F) A) and E)
G) A) and D)

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Resistivity: As current flows through a uniform wire, the wire gets hotter because the electrons stop moving and therefore transform their lost kinetic energy into thermal energy in the wire.

A) True
B) False

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False

Ohm's law: Calculate the current through a 10.0-m long 22 gauge (having radius 0.321 mm) nichrome wire if it is connected to a 12.0-V battery. The resistivity of nichrome is 100 × 10-8 Ω ∙ m.


A) 17.5 A
B) 30.9 A
C) 61.8 A
D) 388 mA
E) 776 mA

F) All of the above
G) None of the above

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Drift velocity: The diameter of a copper wire is 2.05 mm. The maximum safe current it can carry (in order to prevent fire danger in building construction) is 20 A. At this current, what is the drift velocity of the electrons? The number of electron carriers in 1.0 cm3 of copper is 8.5 × 1022 and e = 1.60 × 10-19 C.


A) 0.044 mm/s
B) 0.44 mm/s
C) 0.44 cm/s
D) 0.44 m/s
E) 4.4 cm/s

F) A) and B)
G) All of the above

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Current: The current supplied by a battery as a function of time is Current: The current supplied by a battery as a function of time is What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10<sup>-19</sup>C) A) 1.2 × B) 4.4 × C) 5.3 × D) 3.3 × What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10-19C)


A) 1.2 × Current: The current supplied by a battery as a function of time is What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10<sup>-19</sup>C) A) 1.2 × B) 4.4 × C) 5.3 × D) 3.3 ×
B) 4.4 × Current: The current supplied by a battery as a function of time is What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10<sup>-19</sup>C) A) 1.2 × B) 4.4 × C) 5.3 × D) 3.3 ×
C) 5.3 × Current: The current supplied by a battery as a function of time is What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10<sup>-19</sup>C) A) 1.2 × B) 4.4 × C) 5.3 × D) 3.3 ×
D) 3.3 × Current: The current supplied by a battery as a function of time is What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10<sup>-19</sup>C) A) 1.2 × B) 4.4 × C) 5.3 × D) 3.3 ×

E) None of the above
F) All of the above

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Ohm's law: A cylindrical wire of radius 2.0 mm carries a current of 2.5 A. The potential difference between points on the wire that are 46 m apart is 3.7 V. (a) What is the electric field in the wire? (b) What is the resistivity of the material of which the wire is made?

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a) 0.080 V...

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Power: The heater element of a particular 120-V toaster is a 8.9-m length of nichrome wire, whose diameter is 0.86 mm. The resistivity of nichrome at the operating temperature of the toaster is 1.3 × 10-6 Ω ∙ m. If the toaster is operated at a voltage of 120 V, how much power does it draw?


A) 720 W
B) 700 W
C) 750 W
D) 770 W
E) 800 W

F) B) and E)
G) A) and E)

Correct Answer

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Internal battery resistance: In the figure a current of 6.0 A is drawn from the battery. What is the terminal voltage Vab of the battery? Internal battery resistance: In the figure a current of 6.0 A is drawn from the battery. What is the terminal voltage V<sub>ab</sub> of the battery? A) 0.00 V B) +12 V C) +24 V D) -12 V E) -24 V


A) 0.00 V
B) +12 V
C) +24 V
D) -12 V
E) -24 V

F) B) and C)
G) A) and C)

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A

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