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Questions and Answers
What is the definition of electricity and magnetism?
What is the definition of electricity and magnetism?
What does the symbol k represent in Coulomb's law?
What does the symbol k represent in Coulomb's law?
Coulomb's law constant
What is the equation for electric force between two particles?
What is the equation for electric force between two particles?
F = (¼∏ε₀) (q₁q₂/r²) = (k)(q₁q₂/r²)
Write the equation for the force felt by a charged particle in an electric field.
Write the equation for the force felt by a charged particle in an electric field.
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What is the equation for the electric potential energy for a charged particle in an electric field?
What is the equation for the electric potential energy for a charged particle in an electric field?
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What is the equation for the electric field strength between two parallel plates?
What is the equation for the electric field strength between two parallel plates?
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Write the equation for the voltage produced by a point charge from a certain distance away.
Write the equation for the voltage produced by a point charge from a certain distance away.
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What is the equation for the ratio of charge to voltage in any capacitor?
What is the equation for the ratio of charge to voltage in any capacitor?
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What is the equation for parallel-plate capacitance?
What is the equation for parallel-plate capacitance?
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Write the equation for the potential energy of a capacitor.
Write the equation for the potential energy of a capacitor.
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What is the equation for current?
What is the equation for current?
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Write the equation for resistance of a material.
Write the equation for resistance of a material.
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What is the equation for voltage?
What is the equation for voltage?
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Write the equations for power.
Write the equations for power.
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What is the equation for total capacitance of capacitors in parallel?
What is the equation for total capacitance of capacitors in parallel?
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Write the equation for total capacitance of capacitors in series.
Write the equation for total capacitance of capacitors in series.
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What is the equation for total resistance of resistors in series?
What is the equation for total resistance of resistors in series?
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Write the equation for total resistance of resistors in parallel.
Write the equation for total resistance of resistors in parallel.
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What is the equation for magnetic force on a charged particle when it moves through a magnetic field?
What is the equation for magnetic force on a charged particle when it moves through a magnetic field?
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Write the equation for magnetic force on a current-carrying wire.
Write the equation for magnetic force on a current-carrying wire.
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What is the equation for the magnitude of a magnetic field generated with a current?
What is the equation for the magnitude of a magnetic field generated with a current?
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Write the equation for magnetic flux.
Write the equation for magnetic flux.
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What is the equation for average induced EMF in a wire with loops?
What is the equation for average induced EMF in a wire with loops?
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Write the equation for induced EMF in a rectangular wire.
Write the equation for induced EMF in a rectangular wire.
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Study Notes
Electricity and Magnetism Overview
- Covers fundamental principles involving electric charges and magnetic fields.
- Essential for understanding various physical phenomena and applications in technology.
Coulomb's Law Constant
- Defined as ( k = ¼∏ε₀ = 9.0 \times 10⁹ , \text{Nm}²/\text{C}² ).
- Represents the strength of the electrostatic force between charged objects.
Electric Force Equation
- Given by ( F = \frac{(¼∏ε₀)(q₁q₂)}{r²} = k \frac{(q₁q₂)}{r²} ).
- Describes the force between two point charges based on their magnitudes and distance.
Force in Electric Fields
- Expressed as ( F = qE ).
- Indicates the force acting on a charged particle within an electric field, where ( E ) is the electric field strength.
Electric Potential Energy
- Calculated using ( U(e) = qV = \frac{(¼∏ε₀)(q₁q₂)}{r} ).
- Represents energy associated with local electric field configurations.
Electric Field Strength
- Average electric field between parallel plates is given by ( E(avg) = -\frac{V}{d} ).
- Highlights the relationship between voltage and distance in defining the electric field.
Voltage from Point Charges
- Described by ( V = \frac{(¼∏ε₀)}{\sum q(i)/r(i)} ).
- Represents the electrical potential created by point charges at a distance.
Capacitor Charge-Voltage Relationship
- Defined by ( C = \frac{Q}{V} ).
- Illustrates the proportionality between stored charge ( Q ) and voltage ( V ).
Parallel-Plate Capacitance Formula
- Given as ( C = \frac{ε₀A}{d} ).
- Relates capacitance ( C ) to the area of plates ( A ) and separation ( d ).
Potential Energy in Capacitors
- Calculated using ( U(c) = \frac{1}{2}QV = \frac{1}{2}CV² ).
- Represents energy stored in a capacitor based on its charge and voltage.
Current Equation
- Defined as ( I(avg) = \frac{ΔQ}{Δt} ).
- Indicates the flow of charge over time, central to electrical circuit analysis.
Resistance of a Material
- Expressed as ( R = \frac{ρL}{A} ).
- Depicts the relationship between material resistivity ( ρ ), length ( L ), and cross-sectional area ( A ).
Voltage across a Resistor
- Given by ( V = IR ).
- Relates voltage ( V ) to current ( I ) and resistance ( R ) in circuits.
Power in Electrical Systems
- Equations include ( P = IV, P = \frac{V²}{R}, P = I²R ).
- These formulas indicate the rate of energy transfer in electrical components.
Capacitance in Parallel
- Total capacitance given by ( C(p) = ∑C(i) ).
- Indicates that capacitances in parallel add directly.
Capacitance in Series
- Total capacitance calculated using ( \frac{1}{C(s)} = ∑\frac{1}{C(i)} ).
- Reflected as the reciprocal of the sum of reciprocals of individual capacitances.
Resistance in Series
- Summed up by ( R(s) = ∑R(i) ).
- Resistors in series increase total resistance linearly.
Resistance in Parallel
- Calculated with ( \frac{1}{R(p)} = ∑\frac{1}{R(i)} ).
- Total resistance is less than the smallest individual resistor in the network.
Magnetic Force on Charged Particles
- Determined by ( F = qvB \sinθ ).
- Describes the force experienced by a charge moving in a magnetic field at an angle.
Magnetic Force on Current-Carrying Wire
- Given by ( F = BIℓ \sinθ ).
- Indicates the force on a straight wire carrying current ( I ) within a magnetic field.
Magnetic Field from Current
- Explained with ( B = \frac{μ₀}{2∏} \frac{I}{r} ).
- Shows the relationship between current and the generated magnetic field at a distance ( r ).
Magnetic Flux
- Defined by the equation ( Θ(m) = BA \cosθ ).
- Represents the amount of magnetic field passing through a given area.
Induced EMF in Loops
- Calculated as ( ε(avg) = -\frac{ΔΘ}{Δt} ).
- Relates changes in magnetic flux over time to induced electromotive force.
Induced EMF in Rectangular Wire
- Expressed by ( ε = Bℓv ).
- Depicts the induced EMF in a wire moving through a magnetic field with velocity ( v ).
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