Monday, December 21, 2015
Sunday, December 20, 2015
What is the resistance of the combination of resistors?
5. What is the resistance of the combination of resistors?
x₁,
x₂, x₃, and
x₄ are some numbers.
Answer:
Answer:
(10³
x₁(
x₂+x₃)/(10³
x₁+x₂+x₃)
+ x₄) Ω
What Voltage is Necessary?
4. To store x₁ mJ of energy in an x₂ μF capacitor, what voltage is necessary?
x₁ and x₂ are some numbers.
Solution:
U = x₁ mJ = x₁ ∙ 10⁻³J
C = x₂ μF = x₂∙ 10⁻⁶ F
V²= 2U/C = 2x₁ ∙ 10⁻³J/(x₂∙ 10⁻⁶ F) = 2∙ 10³x₁/x₂ J/F
V=(2∙10³ x₁/x₂)⁰·⁵ V = 44.7(x₁/x₂)⁰∙⁵ V
Helium Nucleus is Accelerated
3. A helium nucleus is accelerated from rest through a potential difference V to a kinetic energy of X ∙ 10⁻¹³ J.
What is the potential difference V?
X is some number.
Answer:
V = E/q = E/(2e) = X ∙ 10⁻¹³ J / (2∙1.60×10⁻¹⁹ C) = 0.312X MV Saturday, December 19, 2015
What is the potential difference V?
3. A helium nucleus is accelerated from rest through a potential difference V to a kinetic energy of X ∙ 10⁻¹³ J.
What is the potential difference V?
X is some number.
Answer:
V = E/q = E/(2e) = X ∙ 10⁻¹³ J / (2∙1.60×10⁻¹⁹ C) = 0.312X MV
X is some number.
Answer:
V = E/q = E/(2e) = X ∙ 10⁻¹³ J / (2∙1.60×10⁻¹⁹ C) = 0.312X MV
Three Point Charges
1. Three point charges are positioned as follows: q₁ is at (x₁ m, y₂ m), q₂ is at (x₂ m, y₂ m),
and q₃ is at (x₂ m, y₃ m). If q₁ = b₁ μC, q₂ = b₂ μC, and q₃ = b₃ μC, what is the magnitude of the force on q₂?
x₁, y₂, x₂, y₃, b₁, b₂, and b₃ are some numbers.
Answer:
|F(q₂)| = kq₂ ( (q₁/r₁²)²+(q₃/r₃²)² )⁰·⁵ =
= 8.99·10⁻³ ( (b₁/(x₂-x₁)²)²+(b₃/(y₃-y₂)²)² )⁰·⁵ N
x₁, y₂, x₂, y₃, b₁, b₂, and b₃ are some numbers.
Answer:
|F(q₂)| = kq₂ ( (q₁/r₁²)²+(q₃/r₃²)² )⁰·⁵ =
= 8.99·10⁻³ ( (b₁/(x₂-x₁)²)²+(b₃/(y₃-y₂)²)² )⁰·⁵ N
Thursday, December 17, 2015
General Physics II: Algebra Based PHYS 1434 (course) Final Examination
New York City College of Technology
The City University of New York
General Physics II: Algebra Based PHYS 1434 (course) Prof. Vasiliy Znamenskiy
Final Examination December 15-21, 2015
(PDF) | (RTF)
1. Three point charges are positioned as follows: q₁ is at (x₁ m, y₂ m), q₂ is at (x₂ m, y₂ m), and q₃ is at (x₂ m, y₃ m). If q₁ = b₁ µC, q₂ = b₂ µC, and q₃ = b₃ µC, what is the magnitude of the force on q₂?
x₁, y₂, x₂, y₃, b₁, b₂, and b₃ are some numbers.
2. A thin spherical shell of radius x₁ cm has x₂ µC of charge uniformly distributed over its surface. What is the electric flux through an area of x₃ m2 of a spherical surface concentric with the shell of charge but having a radius of x₄ m?
x₁, x₂, x₃, and x₄ are some numbers.
3. A helium nucleus is accelerated from rest through a potential difference V to a kinetic energy of x₁ 10-13 J. What is V? x₁ is some number.
4. To store x₁ mJ of energy in an x₂ F capacitor, what voltage is necessary?
x₁ and x₂ are some numbers.
5. What is the resistance of the combination of resistors?
x₁, x₂, x₃, and x₄ are some numbers.
6. If R₁ = x₁ , R₂ = x₂ , R₃ = x₃ , ₁ = x₄ V, and ₂ = x₅ V, what is the current in R₂?
x₁, x₂, x₃, and x₄ are some numbers.
7. Two parallel wires run in a north-south direction. The eastern wire carries x₁ mA southward while the western wire carries x₂ mA northward. If the wires are separated by x₃ cm, what is the magnitude and the direction of the magnetic field at a point between the wires at a distance of x₄ cm from the western wire?
x₁, x₂, x₃, and x₄ are some numbers.
8. A N turn coil of area x₁ cm2 is placed in a magnetic field so that the normal to its area is in the direction of the field. If the field originally has a value of x₂ T that increases to x₃ T in x₄ ms, what is the average emf induced in the coil? x₁, x₂, x₃, and x₄ are some numbers.
9. A series RLC circuit has a resistance of x₁ k, and inductance of x₂ mH, and a capacitance of x₃ F. The power source provides a voltage of v = x₅ V· sin(x₆ rad/s·t). What is the impedance of this circuit? x₁, x₂, x₃, x₄, x₅, and x₆ are some numbers.
10. An RLC series circuit has a 25 k resistor, a 4.0 H inductor, and a capacitor. What capacitance would result in resonance at 15 kHz?
11. If the rms value of the electric field is x₁ V/m at a distance of x₂ m from an isotropic point source, what is the rms value of the magnetic field at a distance of x₃ m from the source? x₁, x₂, and x₃ are some numbers.
12. In order to produce an image double the size of an object with a converging lens of focal length f, what object distance should be used? Construct the rays diagram in order to show the general location, size, orientation, and type of image formed by the lens.
13. Laser light of x₁ nm wavelength is shown through parallel slits forming a series of maxima on a screen x₂ m away. If the distance between the central maximum and the first order maximum is x₃ cm, what is the slit separation? x₁, x₂, and x₃ are some numbers.
14. Radioactive particles moving at 0.70 c are measured to have a half-life of 5.2 10-6 s. What is their half-life when at rest?
15. A material X has a work function of 1.23 eV. What is the longest wavelength that could cause photoelectrons to be released from the material X?
The City University of New York
General Physics II: Algebra Based PHYS 1434 (course) Prof. Vasiliy Znamenskiy
Final Examination December 15-21, 2015
(PDF) | (RTF)
1. Three point charges are positioned as follows: q₁ is at (x₁ m, y₂ m), q₂ is at (x₂ m, y₂ m), and q₃ is at (x₂ m, y₃ m). If q₁ = b₁ µC, q₂ = b₂ µC, and q₃ = b₃ µC, what is the magnitude of the force on q₂?
x₁, y₂, x₂, y₃, b₁, b₂, and b₃ are some numbers.
2. A thin spherical shell of radius x₁ cm has x₂ µC of charge uniformly distributed over its surface. What is the electric flux through an area of x₃ m2 of a spherical surface concentric with the shell of charge but having a radius of x₄ m?
x₁, x₂, x₃, and x₄ are some numbers.
3. A helium nucleus is accelerated from rest through a potential difference V to a kinetic energy of x₁ 10-13 J. What is V? x₁ is some number.
4. To store x₁ mJ of energy in an x₂ F capacitor, what voltage is necessary?
x₁ and x₂ are some numbers.
5. What is the resistance of the combination of resistors?
x₁, x₂, x₃, and x₄ are some numbers.
6. If R₁ = x₁ , R₂ = x₂ , R₃ = x₃ , ₁ = x₄ V, and ₂ = x₅ V, what is the current in R₂?
x₁, x₂, x₃, and x₄ are some numbers.
7. Two parallel wires run in a north-south direction. The eastern wire carries x₁ mA southward while the western wire carries x₂ mA northward. If the wires are separated by x₃ cm, what is the magnitude and the direction of the magnetic field at a point between the wires at a distance of x₄ cm from the western wire?
x₁, x₂, x₃, and x₄ are some numbers.
8. A N turn coil of area x₁ cm2 is placed in a magnetic field so that the normal to its area is in the direction of the field. If the field originally has a value of x₂ T that increases to x₃ T in x₄ ms, what is the average emf induced in the coil? x₁, x₂, x₃, and x₄ are some numbers.
9. A series RLC circuit has a resistance of x₁ k, and inductance of x₂ mH, and a capacitance of x₃ F. The power source provides a voltage of v = x₅ V· sin(x₆ rad/s·t). What is the impedance of this circuit? x₁, x₂, x₃, x₄, x₅, and x₆ are some numbers.
10. An RLC series circuit has a 25 k resistor, a 4.0 H inductor, and a capacitor. What capacitance would result in resonance at 15 kHz?
11. If the rms value of the electric field is x₁ V/m at a distance of x₂ m from an isotropic point source, what is the rms value of the magnetic field at a distance of x₃ m from the source? x₁, x₂, and x₃ are some numbers.
12. In order to produce an image double the size of an object with a converging lens of focal length f, what object distance should be used? Construct the rays diagram in order to show the general location, size, orientation, and type of image formed by the lens.
13. Laser light of x₁ nm wavelength is shown through parallel slits forming a series of maxima on a screen x₂ m away. If the distance between the central maximum and the first order maximum is x₃ cm, what is the slit separation? x₁, x₂, and x₃ are some numbers.
14. Radioactive particles moving at 0.70 c are measured to have a half-life of 5.2 10-6 s. What is their half-life when at rest?
15. A material X has a work function of 1.23 eV. What is the longest wavelength that could cause photoelectrons to be released from the material X?
Thursday, December 10, 2015
Practice Final Exam
Practice
Final Exam
1.
A thin metallic shell of radius x1 cm has a charge of -x2 nC on it.
At the center of the sphere is a point charge of x3 nC. What is the
electric field x4 cm from the center of the shell?
2. Three x1 C charges are placed along the x-axis, one charge at x = x2 cm, another at the origin, and the last one at x = x3 cm. What is the total potential energy of this arrangement?
3. A variable resistor has a voltage of x1 V placed across it. If the resistance is increased x2%, what happens to the current through it?
4. A power line carries x1 kA at a height of x2 m above the ground. What is the resulting magnetic field at ground level?
5. Doubling the diameter of a loop of wire produces what change of induced emf?
6. An RLC series circuit has a x1 Ω resistance, a x2 mH inductor, and a capacitor. If the circuit is in resonance at x3 kHz, what is the capacitive reactance?
7. In vacuum, the components of an EM wave are Ey = 50(V/m)cos[(5.00 m-1)x + π/4], Ex = 0, and Ez = 0. What is the wavelength of the wave?
8. A ray of light enters an equilateral prism made of material with n = x1 at an angle of incidence . The internally refracted ray is parallel to the base of the prism. What is the angle of refraction for the ray leaving the prism?
9. If light of wavelength x1 nm is used in a double-slit experiment with slit separation x2 mm, what angle separates the two 4th order maxima?
10. Spaceships A and B are moving in the same direction along the same straight line. Spaceship A is moving at 0.800 c relative to a stationary observer, and spaceship B is moving at 0.800 c relative to spaceship A. What does the stationary observer find for the speed of spaceship B?
11. Light of wavelength x1 nm bombards a surface with work function x2 eV. What is the maximum kinetic energy of the photoelectrons from this surface?
2. Three x1 C charges are placed along the x-axis, one charge at x = x2 cm, another at the origin, and the last one at x = x3 cm. What is the total potential energy of this arrangement?
3. A variable resistor has a voltage of x1 V placed across it. If the resistance is increased x2%, what happens to the current through it?
4. A power line carries x1 kA at a height of x2 m above the ground. What is the resulting magnetic field at ground level?
5. Doubling the diameter of a loop of wire produces what change of induced emf?
6. An RLC series circuit has a x1 Ω resistance, a x2 mH inductor, and a capacitor. If the circuit is in resonance at x3 kHz, what is the capacitive reactance?
7. In vacuum, the components of an EM wave are Ey = 50(V/m)cos[(5.00 m-1)x + π/4], Ex = 0, and Ez = 0. What is the wavelength of the wave?
8. A ray of light enters an equilateral prism made of material with n = x1 at an angle of incidence . The internally refracted ray is parallel to the base of the prism. What is the angle of refraction for the ray leaving the prism?
9. If light of wavelength x1 nm is used in a double-slit experiment with slit separation x2 mm, what angle separates the two 4th order maxima?
10. Spaceships A and B are moving in the same direction along the same straight line. Spaceship A is moving at 0.800 c relative to a stationary observer, and spaceship B is moving at 0.800 c relative to spaceship A. What does the stationary observer find for the speed of spaceship B?
11. Light of wavelength x1 nm bombards a surface with work function x2 eV. What is the maximum kinetic energy of the photoelectrons from this surface?
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