Semester Review for Physics Chapter 16 – Electric Forces and Fields • • • • Section 1: Electric Charge There are two kinds of electric charge: positive and negative; likes repel, opposites attract Electric charge is conserved Charge is quantized; the magnitude of the fundamental unit is the charge on a proton or electron Conductors and insulators can be charged by contact. Conductors can be charged by induction. Insulators can have a surface charge induced by polarization. Chapter 16 – Electric Forces and Fields Section 2 – Electric Force • According to Coulomb’s Law, the electric force between two charges is proportional to the magnitude of each charge and inversely proportional to the square of the distance between the charges • The electric force is a field force • The resultant force on any charge is the vector sum of the individual electric forces on that charge Chapter 16 – Electric Forces and Fields • • • • Section 3 – The Electric Field An electric field exists in the region around a charged object Electric field strength depends on the magnitude of the charge producing the field and the distance between that charge and a point in the field The direction of the electric field vector E is the direction in which an electric force would act on a postive test charge Field lines are tangent to the electric field vector at any point, and the number of lines is proportional to the magnitude of the field strength Chapter 17 – Electrical Energy and Current Section 1 – Eletric Potential • Electrical potential energy is energy that a charged object has because of its shape and its position in an electric field • Electric potential is electrical potential energy divided by charge • Only differences in electric potential (potential differences) from one position to another are useful in calculations Chapter 17 – Electrical Energy and Current Section 2 - Capacitance • The capacitance of an object is the magnitude of the charge on each of a capacitor’s plates divided by the potential difference between the plates • A capacitor is a device that is used to store electrical potential energy. The potential energy stored in a charged capacitor depends on the charge and the potential difference between the capacitor’s plates. Chapter 17 – Electrical Energy and Current Section 3 – Current and Resistance • Current is the rate of charge movement • Resistance equals potential difference divided by current • Resistance depends on length, crosssectional area, temperature and material Chapter 17 – Electrical Energy and Current • • • • Section 4 – Electric Power In direct current, charges move in a single direction; in alternating current, the direction of charge movement continually alternates Electric power is the rate of conversion of electrical energy The power dissipated by a resistor equals current squared times resistance Electric companies measure energy consumed in kilowatt-hours Chapter 18 – Circuits and Circuit Elements • • • • Section 1 – Schematic Diagrams and Circuits Schematic diagrams use standardized symbols to summarize the contents of electric circuits A circuit is a set of electrical components connected so that they provide one or more complete paths for the movement of charges Any device that transforms nonelectrical energy into electrical energy, like a battery or generator, is a source of emf In the internal resistance of a battery is neglected, the emf can be considered equal to the terminal voltage, the potential difference across the source’s two terminals Chapter 18 – Circuits and Circuit Elements • • • • Resistors in Series or in Parallel Resistors in series have the same current The equivalent resistance of a set of resistors connected in series is the sum of the individual resistances The sum of currents in parallel resistors equals the total current The equivalent resistance of a set of resistors connected in parallel is calculated using an inverse relationship Chapter 18 – Circuits and Circuit Elements Section 3 – Complex Resistor Combinations • Many complex circuits can be understood by isolating segments that are in series or in parallel and simplifying them to their equivalent resistances Chapter 19 - Magnetism • • • • Section 1 – Magnets and magnetic Fields Like magnetic poles repel, opposites attract A magnetic domain is a group of atoms whose magnetic fields are aligned The direction of any magnetic field is defined as the directions the north pole of a magnet would point if placed in the field. The magnetic field of a magnet points from the north pole to the south pole The magnetic north pole of Earth corresponds to the geographic south pole and the magnetic south pole of Earth corresponds to the geographic north pole Chapter 19 - Magnetism Section 2 – Magnetism from Electricity • A magnetic field exists around any currentcarrying wire; the direction of the magnetic field follows a circular path around the wire • The magnetic field created by a solenoid or coil is similar to the magnetic field of a permanent magnet Chapter 19 - Magnetism Section 3 – Magnetic Force • The direction of the force on a positive charge moving through a magnetic field can be found by using the alternate right hand rule • A current-carrying wire in an external magnetic field undergoes a magnetic force. The direction of the magnetic force on the wire can be found by using the alternate right hand rule • Two parallel current-carrying wires exert on one another forces that are equal in magnitude and opposite in direction. If the currents are in the same direction, the two wires attract one another. If the currents are in the opposite direction, the two wires repel one another. Chapter 20 – Electromagnetic Induction Section 1 – Electricity from Magnetism • A change in magnetic flux in a conducting coil induces and electric current in the coil. This is called electromagnetic induction • Lenz’s Law states that the magnetic field of an induced current opposes the change that caused it • The magnitude of the induced emf can be calculated using Faraday’s Law Chapter 20 – Electromagnetic Induction Section 2 – Generators, Motors, and Mutual Inductance • Generators use induction to convert mechanical energy into electrical energy • Motors use an arrangement similar to that of generators to convert electrical energy into mechanical energy • Mutual inductance is the process by which an emd is induced in one circuit as a result of a changing current in another nearby circuit Chapter 20 – Electromagnetic Induction Section 3 – AC Circuits and Transformers • Transformers change the emf of an alternating current in an ac circuit. Chapter 20 – Electromagnetic Induction Section 4 – Electromagnetic Waves • Electromagnetic waves are transverse waves that are traveling at the speed of light and are associated with oscillating electric and magnetic fields. • Electromagnetic waves transfer energy. The energy of electromagnetic waves is stored in the waves’ electric and magnetic fields. • The electromagnetic spectrum has a wide variety of applications and characteristics that cover a broad range of wavelengths and frequencies. Chapter 11 – Vibrations and Waves • • • • Section 1 – Simple Harmonic Motion In simple harmonic motion, restoring force is proportional to displacement A mass-spring system vibrates with SHM and the spring force is given by Hooke’s Law For small angles, a simple pendulum swings with SHM In SHM, restoring force and acceleration are maximum at maximum displacement and speed is maximum at equilibrium Chapter 11 – Vibrations and Waves Section 2 – Measuring SHM • The period of a mass-spring system depends only on the mass and spring constant. • The period of a simple pendulum only depends on the string length and free-fall acceleration. • Frequency is the inverse of period Chapter 11 – Vibrations and Waves • • • • Section 3 – Properties of Waves As a wave travels, the particles of the medium vibrate around an equilibrium position In a transverse wave, vibrations are perpendicular to the direction of wave motion. In a longitudinal wave, vibrations are parallel to the direction of wave motion Wave speed equals frequency times wavelength Chapter 11 – Vibrations and Waves Section 4 – Wave Interactions • If two or more waves are moving through a medium, the resultant wave is found by adding the individual displacements together point by point • Standing waves are formed when two waves that have the same frequency, amplitude and wavelength travel in opposite directions and interfere. Chapter 12 - Sound Section 1 – Sound Waves • The frequency of a sound wave determines its pitch • The speed of sound depends on the medium • The relative motion between the source of waves and an observer creates an apparent frequency shift known as the Doppler Effect Chapter 12 - Sound • • • • • • • Section 2 – Sound Intensity and Resonance The sound intensity of a spherical wave is the power per area Sound intensity is inversely proportional to the square of the distance from the source because the same energy is spread over a larger area Intensity and frequency determine which sounds are audible Decibel level is a measure of relative intensity on a logarithmic scale. A given difference in decibels corresponds to a fixed difference in perceived loudness A forced vibration at the natural frequency produces resonance The human ear transmits vibrations that cause nerve impulses. The brain interprets these impulses as sounds of varying frequencies. Chapter 12 - Sound • • • • Section 3 - Harmonics Harmonics are integral multiples of the fundamental frequency A vibrating string or pipe open at both ends produces all harmonics A pipe closed at one end produces only odd harmonics The number and intensity of harmonics account for the sound quality of an instrument, known as timbre Chapter 13 – Light and Reflection Section 1 – Characteristics of Light • Light is electromagnetic radiation that consists of oscillating electric and magnetic fields with different wavelengths • The frequency times the wavelength of EM radiation equals c, the speed of light • The brightness of light is inversely proportional to the distance squared from the light source Chapter 13 – Light and Reflection Section 2 – Flat Mirrors • Light obeys the law of reflection, which states that the incident and reflected angels of light are identical • Flat mirrors form virtual images that are the same distance from the mirror’s surface as the object is Chapter 13 – Light and Reflection Section 3 - Curved Mirrors • The mirror equation relates object distance, image distance and focal length of a spherical mirror • The magnification equation relates image height or distance to object height or distance Chapter 13 – Light and Reflection Section 4 – Color and Polarization • Light can be linearly polarized by transmission, reflection or scattering Chapter 14 - Refraction Section 1 - Refraction • According to Snell’s Law, as a light ray travels from one medium into another where its speed is different, the light ray will change its direction unless it travels along the normal • When light passes from a medium with a smaller index of refraction to one with a higher index of refraction, the ray bends towards the normal. For the opposite situation, the ray bends away from the normal. Chapter 14 - Refraction Section 2 – Thin Lenses • The image produced by a converging lens is real and inverted when the object is outside the focal length and virtual and upright when inside the focal length. Diverging lenses always produce upright, virtual images • The location of an image created by a lens can be found using either ray diagrams or the thin lens equation Chapter 14 - Refraction Section 3 – Optical Phenomena • Total internal reflection can occur when light attempts to move from a material with a higher index of refraction to one with a lower index of refraction. If the angle of incidence of a ray is greater than the critical angle, the ray is totally reflected at the boundary • Mirages and the visibility of the sun after it has physically set are natural phenomena that can be attributed to the refraction of light in Earth’s atmosphere Chapter 15 – Interference and Diffraction Section 1 - Interference • Light waves with the same wavelength and constant phase differences interfere with each other to produce light and dark interference patterns • In double-slit interference, the position of a bright fringe require that the path difference between two interfering point sources be equal to a whole number of wavelengths • In double-slit interference, the position of a dark fringe require that the path difference between two interfering point sources be equal to an odd number of half wavelengths Chapter 15 – Interference and Diffraction Section 2 - Diffraction • Light waves form a diffraction pattern by passing around an obstacle or bending through a slit and interfering with each other • The position of a maximum in a pattern created by a diffraction grating depends on the separation of the slits in the grating, the order of the maximum and the wavelength of the light Chapter 15 – Interference and Diffraction Section 3 - Lasers • A laser is a device that transforms energy into a beam of coherent monochromatic light