\h1{Hello world}
\h2{Hello world}
\h3{Hello world}
\h4{Hello world}
\h5{Hello world}
\h6{Hello world}


\h1{Basic Electrical Quantities}
\layout[cols=3] {
    \note{
        \h2{Charge}
    }
    \note{
        \h2{Conductors and insulators}
    }
    \note{
        \h2{Current}
        \equation{
            i &= \frac{\mathrm{d}q}{\mathrm{d}t}
        }
    }
    \note{
        \h2{Voltage}
    }
    \note{
        \h2{Power}
        Power is defined as the rate energy \{U} is transformed or transferred over time. We measure power in units of joules/second, also known as watts.
        \equation {
            \text{power} &= \frac{\mathrm{d}U}{\mathrm{d}t}
        }
        An electric circuit is capable of transferring power.
        \li{Current is the rate of flow of charge}
        \li{voltage measures the energy transferred per unit of charge}
        We can insert these definitions into the equation for power:
        \equation {
            \text{power}
                &= \frac{\mathrm{d}U}{\mathrm{d}t}\\
                &= \frac{\mathrm{d}U}{\mathrm{d}q}\cdot\frac{\mathrm{d}q}{\mathrm{d}t}\\
                &= v \cdot i
        }
        Electrical power is the product of voltage times current. in units of watts.
    }

}

\h1{Standard Electrical Units}
\layout[cols=2] {
    \note{
        \h2{SI base units}
        \table {
            \tr{
                \td{Name}
                \td{Symbol}
                \td{Quantity}
            }
            \tr{
                \td{meter}
                \td{\{m}}
                \td{length}
            }
            \tr{
                \td{kilogram}
                \td{\{\mathrm{kg}}}
                \td{mass}
            }
            \tr{
                \td{second}
                \td{\{\mathrm{s}}}
                \td{time}
            }
            \tr{
                \td{ampere}
                \td{\{\mathrm{A}}}
                \td{electric current}
            }
            \tr{
                \td{kelvin}
                \td{\{\mathrm{K}}}
                \td{temperature}
            }
            \tr{
                \td{candela}
                \td{\{\mathrm{cd}}}
                \td{luminous intensity}
            }
            \tr{
                \td{mole}
                \td{\{\mathrm{mol}}}
                \td{amount of substance}
            }
        }
    }
    \note{
        \h2{SI derived units used in electricity}
        \table{
            \tr{
                \td{Name}
                \td{Symbol}
                \td{Quantity}
                \td{In terms of other SI units}
            }
            \tr{
                \td{coulomb}
                \td{\{C}}
                \td{charge}
                \td{\{\mathrm{A}\cdot\mathrm{s}}}
            }
            \tr{
                \td{watt}
                \td{\{W}}
                \td{power}
                \td{\{\frac{\mathrm{J}}{\mathrm{s}}}}
            }
            \tr{
                \td{volt}
                \td{\{V}}
                \td{voltage (electric potential difference)}
                \td{\{\frac{\mathrm{W}}{\mathrm{A}}}}
            }
            \tr{
                \td{ohm}
                \td{\{Ω}}
                \td{resistance impedance}
                \td{\{\frac{\mathrm{V}}{\mathrm{A}}}}
            }
            \tr{
                \td{farad}
                \td{\{F}}
                \td{capacitance}
                \td{\{\frac{\mathrm{C}}{\mathrm{V}}}}
            }
            \tr{
                \td{henry}
                \td{\{H}}
                \td{inductance}
                \td{\{\frac{\mathrm{Wb}}{\mathrm{A}}}}
            }
            \tr{
                \td{hertz}
                \td{\{Hz}}
                \td{frequency}
                \td{\{s^{-1}}}
            }
            \tr{
                \td{siemens}
                \td{\{S}}
                \td{conductance}
                \td{\{\frac{\mathrm{A}}{\mathrm{V}}} or \{\frac{\mathrm{1}}{\mathrm{Ω}}}}
            }
            \tr{
                \td{weber}
                \td{\{Wb}}
                \td{magnetic flux}
                \td{\{\mathrm{V}\cdot\mathrm{s}}}
            }
            \tr{
                \td{tesla}
                \td{\{T}}
                \td{magnetic field strength}
                \td{\{\frac{\mathrm{Wb}}{\mathrm{m^2}}}}
            }
        }
    }
}

\layout[cols=3] {
    \note{
        \h2{Ampere}
    }
    \note{
        \h2{Coulomb}
    }
    \note{
        \h2{Electron charge}
    }
    \note{
        \h2{Watt}
    }
    \note{
        \h2{Volt}
    }
    \note{
        \h2{Ohm}
    }
}

\h1{Ideal Circuit Elements}
\layout[cols=3] {
    \note{
        \h2{Resistor (\{R})}
        \equation{
            v  = i \cdot R
        }
    }
    \note{
        \h2{Capacitor (\{C})}
        \equation{
            i = C \frac{\mathrm{d}v}{\mathrm{d}t}
        }
    }
    \note{
        \h2{Inductor (\{L})}
        \equation{
            v = L \cdot \frac{\mathrm{d}i}{\mathrm{d}t }
        } 
    }
}

\h1{Ideal Sources}
\layout[cols=2] {
    \note{
        \h2{Ideal Voltage Source}
        \equation{
            TODO
        }
    }
    \note{
        \h2{Ideal Current Source}
        \equation{
            TODO
        }
    }
}