Editing EMP Pulse Blaster (section)

== Equations ==

* '''Energy Density''': The energy density of the electromagnetic field.
'''<math>E = \frac{{B^2}}{{2 \mu_0}}</math>'''
*** Where:
**** '''E''' is the energy density in joules per cubic meter (J/m<math>^3</math>)
**** '''B''' is the magnetic flux density in teslas (T)
**** '''\mu_0''' is the permeability of free space (<math>4\pi \times 10^{-7}</math> H/m)

* '''Volume of a Sphere''': Used to calculate the volume of the area affected by the EMP.
'''<math>V = \frac{4}{3} \pi r^3</math>'''
*** Where:
**** '''V''' is the volume in cubic meters (m<math>^3</math>)
**** '''r''' is the radius of the sphere in meters (m)

* '''Power Output (General)''': The power output during the EMP pulse.
'''<math>\text{Power Output} = \frac{\text{Total Energy Output}}{\text{Pulse Duration}}</math>'''
*** Where:
**** Power Output is in watts (W)
**** Total Energy Output is in joules (J)
**** Pulse Duration is in seconds (s)

* '''Capacitor Energy Storage''': The energy stored in a capacitor.
'''<math>E = \frac{1}{2} CV^2</math>'''
*** Where:
**** '''E''' is the energy stored in joules (J)
**** '''C''' is the capacitance in farads (F)
**** '''V''' is the voltage in volts (V)

* '''Inductance of a Coil''': The inductance of a coil used in the EMP generator.
'''<math>L = \frac{N^2 \mu_0 \mu_r A}{l}</math>'''
*** Where:
**** '''L''' is the inductance in henries (H)
**** '''N''' is the number of turns
**** '''\mu_0''' is the permeability of free space (<math>4\pi \times 10^{-7}</math> H/m)
**** '''\mu_r''' is the relative permeability of the core material
**** '''A''' is the cross-sectional area of the coil in square meters (m<math>^2</math>)
**** '''l''' is the length of the coil in meters (m)

* '''Magnetic Flux''': The magnetic flux through a coil.
'''<math>\Phi = B A \cos(\theta)</math>'''
*** Where:
**** '''\Phi''' is the magnetic flux in webers (Wb)
**** '''B''' is the magnetic flux density in teslas (T)
**** '''A''' is the area in square meters (m<math>^2</math>)
**** '''\theta''' is the angle between the magnetic field and the normal to the surface

* '''Faraday’s Law of Induction''': The induced voltage in a coil.
'''<math>V = -N \frac{d\Phi}{dt}</math>'''
*** Where:
**** '''V''' is the induced voltage in volts (V)
**** '''N''' is the number of turns
**** '''\frac{d\Phi}{dt}''' is the rate of change of magnetic flux in webers per second (Wb/s)

* '''Resonant Frequency of LC Circuit''': The frequency at which the LC circuit resonates.
'''<math>f_0 = \frac{1}{2\pi\sqrt{LC}}</math>'''
*** Where:
**** '''f_0''' is the resonant frequency in hertz (Hz)
**** '''L''' is the inductance in henries (H)
**** '''C''' is the capacitance in farads (F)

* '''Magnetic Field of a Solenoid''': The magnetic field inside a solenoid.
'''<math>B = \mu_0 \frac{N}{l} I</math>'''
*** Where:
**** '''B''' is the magnetic field in teslas (T)
**** '''\mu_0''' is the permeability of free space (<math>4\pi \times 10^{-7}</math> H/m)
**** '''N''' is the number of turns
**** '''l''' is the length of the solenoid in meters (m)
**** '''I''' is the current in amperes (A)

* '''Heat Dissipation in Resistors''': The power dissipated as heat in a resistor.
'''<math>P = I^2 R</math>'''
*** Where:
**** '''P''' is the power in watts (W)
**** '''I''' is the current in amperes (A)
**** '''R''' is the resistance in ohms (Ω)

* '''Ohm’s Law''': The relationship between voltage, current, and resistance.
'''<math>V = IR</math>'''
*** Where:
**** '''V''' is the voltage in volts (V)
**** '''I''' is the current in amperes (A)
**** '''R''' is the resistance in ohms (Ω)

* '''Electromagnetic Wave Equation''': Describes the propagation of electromagnetic waves.
'''<math>\nabla^2 \mathbf{E} - \mu_0 \epsilon_0 \frac{\partial^2 \mathbf{E}}{\partial t^2} = 0</math>'''
*** Where:
**** '''\mathbf{E}''' is the electric field in volts per meter (V/m)
**** '''\mu_0''' is the permeability of free space (<math>4\pi \times 10^{-7}</math> H/m)
**** '''\epsilon_0''' is the permittivity of free space (<math>8.854 \times 10^{-12}</math> F/m)
**** '''t''' is the time in seconds (s)