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- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/04%3A_Batteries_Resistors_and_Ohm's_Law/4.01%3A_IntroductionAn electric cell consists of two different metals, or carbon and a metal, called the poles, immersed or dipped into a liquid or some sort of a wet, conducting paste, known as the electrolyte, and, bec...An electric cell consists of two different metals, or carbon and a metal, called the poles, immersed or dipped into a liquid or some sort of a wet, conducting paste, known as the electrolyte, and, because of some chemical reaction between the two poles and the electrolyte, there exists a small potential difference (typically of the order of one or two volts) between the poles.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/13%3A_Alternating_Current/13.07%3A_The_RLC_Series_Acceptor_CircuitWe can see that the voltage leads on the current if the reactance is positive; that is, if the inductive reactance is greater than the capacitive reactance; that is, if \(\omega > 1/\sqrt{LC}\). (Reca...We can see that the voltage leads on the current if the reactance is positive; that is, if the inductive reactance is greater than the capacitive reactance; that is, if \(\omega > 1/\sqrt{LC}\). (Recall that the frequency, \(\nu\), is \(\omega/(2\pi)\)).
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/07%3A_Force_on_a_Current_in_a_Magnetic_Field/7.06%3A_Period_of_Oscillation_of_a_Magnet_or_a_Coil_in_an_External_Magnetic_Field\[P = 2 \pi \sqrt{\frac{I}{p_mB}}.\label{7.6.1}\] For a derivation of this, see the derivation in Section 3.3 for the period of oscillation of an electric dipole in an electric field. Also, verify tha...\[P = 2 \pi \sqrt{\frac{I}{p_mB}}.\label{7.6.1}\] For a derivation of this, see the derivation in Section 3.3 for the period of oscillation of an electric dipole in an electric field. Also, verify that the dimensions of the right hand side of Equation \ref{7.6.1} are \(\text{T}\). In this equation, what does the symbol \(I\) stand for?
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/10%3A_Electromagnetic_Induction/10.10%3A_Mutual_InductanceConsider two coils, not connected to one another, other than being close together in space. If the current changes in one of the coils, so will the magnetic field in the other, and consequently an EMF...Consider two coils, not connected to one another, other than being close together in space. If the current changes in one of the coils, so will the magnetic field in the other, and consequently an EMF will be induced in the second coil. The ratio of the EMF induced in the second coil to the rate of change of current in the first is called the coefficient of mutual inductance.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/02%3A_Electrostatic_Potential/2.02%3A_Potential_Near_Various_Charged_Bodies/2.2A%3A_Point_ChargeLet us arbitrarily assign the value zero to the potential at an infinite distance from a point charge Q. “The” potential at a distance r from this charge is then the work required to move a unit posit...Let us arbitrarily assign the value zero to the potential at an infinite distance from a point charge Q. “The” potential at a distance r from this charge is then the work required to move a unit positive charge from infinity to a distance r.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/05%3A_Capacitors/5.11%3A__Energy_Stored_in_an_Electric_FieldThe capacitance is \(C=\epsilon A/d\), and the potential differnece between the plates is \(Ed\), where \(E\) is the electric field and \(d\) is the distance between the plates. The volume of the diel...The capacitance is \(C=\epsilon A/d\), and the potential differnece between the plates is \(Ed\), where \(E\) is the electric field and \(d\) is the distance between the plates. The volume of the dielectric (insulating) material between the plates is \(Ad\), and therefore we find the following expression for the energy stored per unit volume in a dielectric material in which there is an electric field:
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/15%3A_Maxwell's_Equations/15.03%3A_Poisson's_and_Laplace's_EquationsRegardless of how many charged bodies there may be an a place of interest, and regardless of their shape or size, the potential at any point can be calculated from Poisson's or Laplace's equations.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/13%3A_Alternating_Current/13.09%3A_AC_Bridges/13.9D%3A_Bridge_Solution_by_Delta-Star_TransformWhat if the bridge is not balanced? Can we calculate the impedance of the circuit? Can we calculate the currents in each branch, or the potentials at any points? This is evidently a little harder. We ...What if the bridge is not balanced? Can we calculate the impedance of the circuit? Can we calculate the currents in each branch, or the potentials at any points? This is evidently a little harder. We should be able to do it. Kirchhoff’s rules and the delta-star transform still apply for alternating currents, the complication being that all impedances, currents and potentials are complex numbers.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/06%3A_The_Magnetic_Effect_of_an_Electric_Current
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/01%3A_Electric_Fields/1.09%3A_Gauss's_TheoremGauss’s theorem argues that the total normal component of the D -flux through any closed surface is equal to the charge enclosed by that surface. It is a natural consequence of the inverse square nat...Gauss’s theorem argues that the total normal component of the D -flux through any closed surface is equal to the charge enclosed by that surface. It is a natural consequence of the inverse square nature of Coulomb’s law.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/02%3A_Electrostatic_Potential/2.02%3A_Potential_Near_Various_Charged_Bodies/2.2D%3A_Large_Plane_Charged_SheetThe field at a distance \(r\) from a large charged sheet carrying a charge \(σ\) coulombs per square metre is \(\frac{\sigma}{2\epsilon_0}\). Therefore the potential difference between two points at d...The field at a distance \(r\) from a large charged sheet carrying a charge \(σ\) coulombs per square metre is \(\frac{\sigma}{2\epsilon_0}\). Therefore the potential difference between two points at distances \(a \text{ and }b\) from the sheet \((a < b)\) is \[V_a-V_b = \frac{\sigma}{2\epsilon_0}(b-a).\tag{2.2.7}\]
