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A changing magnetic field pierces the interior of a circuit containing three identical resistors.Two voltmeters are connected as shown.V1 reads 1 mV across R.V2 reads the voltage across the other two resistors, which is: A changing magnetic field pierces the interior of a circuit containing three identical resistors.Two voltmeters are connected as shown.V<sub>1</sub> reads 1 mV across R.V<sub>2</sub> reads the voltage across the other two resistors, which is:   A) 0 V B) 1/3 mV C) 1/2 mV D) 1 mV E) 2 mV


A) 0 V
B) 1/3 mV
C) 1/2 mV
D) 1 mV
E) 2 mV

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A 3.5 mH inductor and a 4.5 mH inductor are connected in parallel.The equivalent inductance is:


A) 0.13 mH
B) 0.51 mH
C) 1.0 mH
D) 2.0 mH
E) 8.0 mH

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In the experiment shown: In the experiment shown:   A) there is a steady reading in G as long as S is closed B) a motional emf is generated when S is closed C) the current in the battery goes through G D) there is a current in G just after S is opened or closed E) since the two loops are not connected, the current in G is always zero


A) there is a steady reading in G as long as S is closed
B) a motional emf is generated when S is closed
C) the current in the battery goes through G
D) there is a current in G just after S is opened or closed
E) since the two loops are not connected, the current in G is always zero

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A merry-go-round has an area of 300 m2 and spins at 2 rpm about a vertical axis at a place where the Earth's magnetic field is vertical and has a magnitude of 5 * 10-5 T.The emf around the rim is:


A) 0 V
B) 0.5 mV
C) 3.1 mV
D) 15 mV
E) 190 mV

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A flat coil of wire, having 5 turns, has an inductance L.The inductance of a similar coil having 20 turns is:


A) 4L
B) L/4
C) 16L
D) L/16
E) L

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The figure shows a bar moving to the right on two conducting rails.To make an induced current i in the direction indicated, a constant magnetic field between the rails should be in what direction? The figure shows a bar moving to the right on two conducting rails.To make an induced current i in the direction indicated, a constant magnetic field between the rails should be in what direction?   A) Right B) Left C) Into the page D) Out of the page E) Impossible, cannot be done with a constant magnetic field


A) Right
B) Left
C) Into the page
D) Out of the page
E) Impossible, cannot be done with a constant magnetic field

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An inductance L, resistance R, and ideal battery of emf An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R.At any later time t the current i is given by:


A) ( An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R) (1 - e-Lt/R)
B) ( An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R) e-Lt/R
C) ( An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R) (1 + e-Rt/L)
D) ( An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R) e-Rt/L
E) ( An inductance L, resistance R, and ideal battery of emf   are wired in series and the circuit is allowed to come to equilibrium.A switch in the circuit is opened at time t = 0, at which time the current is   /R.At any later time t the current i is given by: A) (   /R) (1 - e<sup>-Lt</sup><sup>/</sup><sup>R</sup>)  B) (   /R) e<sup>-</sup><sup>Lt</sup><sup>/</sup><sup>R</sup> C) (   /R) (1 + e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>)  D) (   /R) e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup> E) (   /R) (1 - e<sup>-</sup><sup>Rt</sup><sup>/</sup><sup>L</sup>) /R) (1 - e-Rt/L)

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A 2.0 T uniform magnetic field makes an angle of 30 ° with the z axis.The magnetic flux through a 3.0 m2 portion of the xy plane is:


A) 2.0 Wb
B) 3.0 Wb
C) 5.2 Wb
D) 6.0 Wb
E) 12 Wb

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A copper penny slides on a horizontal frictionless table.There is a square region of constant uniform magnetic field perpendicular to the table, as shown.Which graph correctly shows the speed v of the penny as a function of time t? A copper penny slides on a horizontal frictionless table.There is a square region of constant uniform magnetic field perpendicular to the table, as shown.Which graph correctly shows the speed v of the penny as a function of time t?   A) I B) II C) III D) IV E) V


A) I
B) II
C) III
D) IV
E) V

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As a loop of wire with a resistance of 10 Ω\Omega moves in a non-uniform magnetic field, it loses kinetic energy at a uniform rate of 5 mJ/s.The induced emf in the loop is:


A) 0 V
B) 0.22 V
C) 0.28 V
D) 2.0 V
E) cannot be calculated from the given data

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The diagram shows a circular loop of wire that rotates at a steady rate about a diameter O that is perpendicular to a uniform magnetic field.The maximum induced emf occurs when the point X on the loop passes: The diagram shows a circular loop of wire that rotates at a steady rate about a diameter O that is perpendicular to a uniform magnetic field.The maximum induced emf occurs when the point X on the loop passes:   A) a B) b C) c D) d E) e


A) a
B) b
C) c
D) d
E) e

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An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are:


A) 0, An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given
B) An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given , 0
C) An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given /2,
An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given /2
D) (L/R) An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given , (R/L)
An inductor with inductance L and a resistor with resistance R are wired in series to an ideal battery with emf   .A switch in the circuit is closed at time t = 0, at which time the current is zero.A long time after the switch is thrown the potential differences across the inductor and resistor are: A) 0,   B)    , 0 C)    /2,   /2 D) (L/R)    , (R/L)    E) unknown since the rate of change of the current is not given
E) unknown since the rate of change of the current is not given

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The diagrams show three circuits with identical batteries, identical inductors, and identical resistors.Rank them according to the current through the battery just after the switch is closed, from least to greatest. The diagrams show three circuits with identical batteries, identical inductors, and identical resistors.Rank them according to the current through the battery just after the switch is closed, from least to greatest.   A) 3, 2, 1 B) 2 and 3 tie, then 1 C) 1, 3, 2 D) 1, 2, 3 E) 2, 3, 1


A) 3, 2, 1
B) 2 and 3 tie, then 1
C) 1, 3, 2
D) 1, 2, 3
E) 2, 3, 1

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Coils P and Q each have a large number of turns of insulated wire.When switch S is closed, the pointer of galvanometer G is deflected toward the left.Now that S is closed, to make the pointer of G deflect toward the right one could: Coils P and Q each have a large number of turns of insulated wire.When switch S is closed, the pointer of galvanometer G is deflected toward the left.Now that S is closed, to make the pointer of G deflect toward the right one could:   A) move the slide of the rheostat R quickly to the right B) move coil P toward coil Q C) move coil Q toward coil P D) open S E) do none of the above


A) move the slide of the rheostat R quickly to the right
B) move coil P toward coil Q
C) move coil Q toward coil P
D) open S
E) do none of the above

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As an externally generated magnetic field through a certain conducting loop increases in magnitude, the field produced at points inside the loop by the current induced in the loop must be:


A) increasing in magnitude
B) decreasing in magnitude
C) in the same direction as the applied field
D) directed opposite to the applied field
E) perpendicular to the applied field

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One hundred turns of insulated copper wire are wrapped around an iron core of cross-sectional area 0.100 m2.The circuit is completed by connecting the coil to a 10- Ω\Omega resistor.As the magnetic field along the coil axis changes from 1.00 T in one direction to 1.00 T in the other direction, the total charge that flows through the resistor is:


A) 0.01 C
B) 0.02 C
C) 0.2 C
D) 1 C
E) 2 C

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A rectangular loop of wire has area A.It is placed perpendicular to a uniform magnetic field B and then spun around one of its sides at frequency f.The maximum induced emf is:


A) BAf/2?
B) BAf
C) 2BAf
D) 2 π\pi BAf
E) 4 π\pi BAf

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A car travels northward at 75 km/h along a straight road in a region where Earth's magnetic field has a vertical component of 0.50 * 10-4 T.The emf induced between the left and right side, separated by 1.7 m, is:


A) 0 V
B) 1.8 mV
C) 3.6 mV
D) 6.4 mV
E) 23 mV

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Two coils have a mutual inductance of 3.5 mH.If the current in one coil is changing at a rate of 4.8 A/s, what is the emf induced in the second coil?


A) 7.3 x 10-4 V
B) 0.017 V
C) 1400 V
D) cannot tell without knowing the inductance of the second coil
E) cannot tell without knowing the current in the second coil

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In the circuit shown, there will be a non-zero reading in galvanometer G: In the circuit shown, there will be a non-zero reading in galvanometer G:   A) only just after S is closed B) only just after S is opened C) only while S is kept closed D) never E) only just after S is opened or closed


A) only just after S is closed
B) only just after S is opened
C) only while S is kept closed
D) never
E) only just after S is opened or closed

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