Question 1

A sphere with radius 2.0 mm carries a $+ 2.0 \mu \mathrm { C }$ charge.What is the potential difference, $V _ { B } - V _ { A }$ between point B,which is $4.0 \mathrm {~m}$ from the center of the sphere,and point A,which is $6.0 \mathrm {~m}$ from the center of the sphere? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 1500 V 
B) -1500 V 
C) 170 V 
D) -0.63 V

Question 2

A 6.0-μF air-filled capacitor is connected across a 100-V potential source (a battery).After the battery fully charges the capacitor,it is left connected and the capacitor is immersed in transformer oil,which has a dielectric constant of 4.5.How much additional charge flows from the battery onto the capacitor during this process?

Accepted Answer

A) 1.2 mC 
B) 1.7 mC 
C) 2.1 mC 
D) 2.5 mC

Question 3

The equipotential surfaces for two spherical conductors are shown in the figure,with the value of potential marked on the line for each surface.
(a)If the distance between points A and B is 2.5 cm what is the approximate magnitude of the $\vec { E }$ field between these two points?
(b)If the distance between points C and D is 2.5 cm what is the approximate magnitude of the $\vec { E }$ field between these two points?

Accepted Answer

The answer of The equipotential surfaces for two spherical conductors...

Question 4

Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity)of this combination at the point where the $\vec { E }$ field due to these charges is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 0.75 MV 
B) 1.5 MV 
C) 0.0 MV 
D) 25 MV 
E) 12.5 MV

Question 5

A tiny particle carries a charge of $6.0 \mu \mathrm { C }$ What is the energy density in the electric field at a distance of $4.0 \mathrm {~m}$ from this charge? (ε0 = 8.85 × 10-12 C2/N ∙ m2,k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 0.050 mJ/m3 
B) 0.20 mJ/m3 
C) 0.81 mJ/m3 
D) 3.2 mJ/m3

Question 6

Consider a uniform horizontal $\vec { E }$ field of 50 N/C directed toward the east.If the electric potential at a given point in the field is 80 V,what is the potential at a point 1.0 m directly south of that point?

Accepted Answer

A) 0 V 
B) 30 V 
C) 50 V 
D) 80 V

Question 7

After a proton with an initial speed of 1.50 × 105 m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

Accepted Answer

A) 4.56 × 105 m/s 
B) 2.04 × 105 m/s 
C) 3.55 × 105 m/s 
D) 8.80 × 105 m/s 
E) 1.55 × 106 m/s

Question 8

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10-19 C)

Accepted Answer

A) 500 J 
B) 8.0 × 10-17 J 
C) 1.6 × 10-19 J 
D) 800 J

Question 9

An electron is initially moving to the right when it enters a uniform electric field directed upwards,as shown in the figure.Which trajectory (X,Y,Z,or W)will the electron follow in the field?

Accepted Answer

A) trajectory W 
B) trajectory X 
C) trajectory Y 
D) trajectory Z

Question 10

An air-filled 20-μF capacitor has a charge of 60 μC on its plates.How much energy is stored in this capacitor?

Accepted Answer

A) 70 μJ 
B) 80 μJ 
C) 90 μJ 
D) 100 μJ 
E) 110 μJ

Question 11

Three equal-magnitude point charges of varying signs are placed at three of the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net $\vec { E }$ field at the vacant corner of the square?

Accepted Answer

A) A 
B) B 
C) C 
D) D

Question 12

When a dielectric material is introduced between the plates of a parallel-plate capacitor and completely fills the space,the capacitance increases by a factor of 4.What is the dielectric constant of the material that was introduced?

Accepted Answer

A) 0.4 
B) 1/4 
C) 2 
D) 4 
E) None of the other choices is correct.

Question 13

Four tiny charged particles (two having a charge +Q and two having a charge -Q)are distributed on the x- and y-axes as shown in the figure.Each charge is equidistant from the origin.In which direction is the net $\vec { E }$ field at the point P on the y-axis?

Accepted Answer

A) directly up (in the +y direction) 
B) directly left (-x direction) 
C) upwards and towards the left 
D) upwards and towards the right 
E) The net field is zero, so there is no direction.

Question 14

A 15-μF capacitor is connected to a 50-V battery and becomes fully charged.The battery is removed and a slab of dielectric,having a dielectric constant of 5.0,is inserted between the plates and completely fills the space between them.
(a)What is the capacitance of the capacitor after the slab is inserted?
(b)What is the potential difference across the capacitor with the dielectric inserted?

Accepted Answer

The answer of A 15-μF capacitor is connected to a...

Question 15

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm.What is the electric potential (relative to infinity)at the midpoint of the rectangle? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 1.3 MV 
B) 2.9 MV 
C) 3.5 MV 
D) 7.8 MV

Question 16

Three equal negative point charges -q are placed at three of the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net $\vec { E }$ field at the vacant corner of the square?

Accepted Answer

A) A 
B) B 
C) C 
D) D

Question 17

Two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

Accepted Answer

A) q1 is negative and q2 is positive; the magnitudes are equal. 
B) q1 and q2 have the same sign; the magnitudes are equal. 
C) q1 is positive and q2 is negative; the magnitude of q1 is greater than the magnitude of q2. 
D) q1 is negative and q2 is positive; the magnitude of q1 is less than the magnitude of q2. 
E) q1 and q2 have the same sign; the magnitude of q1 is greater than the magnitude of q2.

Question 18

A tiny particle with charge + 5.0 μC is initially moving at 55 m/s.It is then accelerated through a potential difference of 500 V.How much kinetic energy does this particle gain during the period of acceleration?

Accepted Answer

A) 1.0 × 104 J 
B) 2.5 × 10-3 J 
C) 100 J 
D) 2500 J

Question 19

A proton with a speed of 2.0 x $10 ^ { 5 }$ m/s accelerates through a potential difference and thereby increases its speed to 4.0 x $10 ^ { 5 }$ m/s.Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

Accepted Answer

A) 630 V 
B) 210 V 
C) 840 V 
D) 1000 V 
E) 100 V

Question 20

Four charged particles (two having a charge +Q and two having a charge -Q)are arranged in the xy-plane,as shown in the figure.These particles are all equidistant from the origin.The electric potential (relative to infinity)at point P on the z-axis due to these particles,is

Accepted Answer

A) zero. 
B) positive. 
C) negative. 
D) impossible to determine based on the information given.

Exam 16: The Electric Field

Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity) of this combination at the point where the $\vec { E }$ field due to these charges is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A tiny particle carries a charge of $6.0 \mu \mathrm { C }$ What is the energy density in the electric field at a distance of $4.0 \mathrm {~m}$ from this charge? (ε₀ = 8.85 × 10^-12C²/N ∙ m²,k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Consider a uniform horizontal $\vec { E }$ field of 50 N/C directed toward the east.If the electric potential at a given point in the field is 80 V,what is the potential at a point 1.0 m directly south of that point?

After a proton with an initial speed of 1.50 × 10⁵ m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10^-19C ,m_proton = 1.67 × 10^-27 kg)

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10^-19 C)

An electron is initially moving to the right when it enters a uniform electric field directed upwards,as shown in the figure.Which trajectory (X,Y,Z,or W) will the electron follow in the field?

An air-filled 20-μF capacitor has a charge of 60 μC on its plates.How much energy is stored in this capacitor?

When a dielectric material is introduced between the plates of a parallel-plate capacitor and completely fills the space,the capacitance increases by a factor of 4.What is the dielectric constant of the material that was introduced?

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm.What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two stationary point charges q₁ and q₂ are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

A tiny particle with charge + 5.0 μC is initially moving at 55 m/s.It is then accelerated through a potential difference of 500 V.How much kinetic energy does this particle gain during the period of acceleration?

A proton with a speed of 2.0 x $10 ^ { 5 }$ m/s accelerates through a potential difference and thereby increases its speed to 4.0 x $10 ^ { 5 }$ m/s.Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10^-19 C ,m_proton = 1.67 × 10^-27 kg)

Four charged particles (two having a charge +Q and two having a charge -Q) are arranged in the xy-plane,as shown in the figure.These particles are all equidistant from the origin.The electric potential (relative to infinity) at point P on the z-axis due to these particles,is

Exam 16: The Electric Field

Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity) of this combination at the point where the E⃗\vec { E }E field due to these charges is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A tiny particle carries a charge of 6.0μC6.0 \mu \mathrm { C }6.0μC What is the energy density in the electric field at a distance of 4.0 m4.0 \mathrm {~m}4.0 m from this charge? (ε0 = 8.85 × 10-12 C2/N ∙ m2,k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Consider a uniform horizontal E⃗\vec { E }E field of 50 N/C directed toward the east.If the electric potential at a given point in the field is 80 V,what is the potential at a point 1.0 m directly south of that point?

After a proton with an initial speed of 1.50 × 105 m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10-19 C)

An electron is initially moving to the right when it enters a uniform electric field directed upwards,as shown in the figure.Which trajectory (X,Y,Z,or W) will the electron follow in the field?

An air-filled 20-μF capacitor has a charge of 60 μC on its plates.How much energy is stored in this capacitor?

Three equal-magnitude point charges of varying signs are placed at three of the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net E⃗\vec { E }E field at the vacant corner of the square?

When a dielectric material is introduced between the plates of a parallel-plate capacitor and completely fills the space,the capacitance increases by a factor of 4.What is the dielectric constant of the material that was introduced?

Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure.Each charge is equidistant from the origin.In which direction is the net E⃗\vec { E }E field at the point P on the y-axis?

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm.What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Three equal negative point charges -q are placed at three of the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net E⃗\vec { E }E field at the vacant corner of the square?

Two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

A tiny particle with charge + 5.0 μC is initially moving at 55 m/s.It is then accelerated through a potential difference of 500 V.How much kinetic energy does this particle gain during the period of acceleration?

A proton with a speed of 2.0 x 10510 ^ { 5 }105 m/s accelerates through a potential difference and thereby increases its speed to 4.0 x 10510 ^ { 5 }105 m/s.Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

Four charged particles (two having a charge +Q and two having a charge -Q) are arranged in the xy-plane,as shown in the figure.These particles are all equidistant from the origin.The electric potential (relative to infinity) at point P on the z-axis due to these particles,is

Two 5.0-µC point charges are 12 cm apart.What is the electric potential (relative to infinity) of this combination at the point where the $\vec { E }$ field due to these charges is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A tiny particle carries a charge of $6.0 \mu \mathrm { C }$ What is the energy density in the electric field at a distance of $4.0 \mathrm {~m}$ from this charge? (ε₀ = 8.85 × 10^-12C²/N ∙ m²,k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Consider a uniform horizontal $\vec { E }$ field of 50 N/C directed toward the east.If the electric potential at a given point in the field is 80 V,what is the potential at a point 1.0 m directly south of that point?

After a proton with an initial speed of 1.50 × 10⁵ m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10^-19C ,m_proton = 1.67 × 10^-27 kg)

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10^-19 C)

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm.What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two stationary point charges q₁ and q₂ are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

A proton with a speed of 2.0 x $10 ^ { 5 }$ m/s accelerates through a potential difference and thereby increases its speed to 4.0 x $10 ^ { 5 }$ m/s.Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10^-19 C ,m_proton = 1.67 × 10^-27 kg)