Amateur radio/Full (UK licence)/Formula sheet

< Amateur radio < Full (UK licence)
R_{T} = R_{1}+R_{2}+R_{3} \frac{1}{R_{T}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}} V=IR
V_{out} = V_{in} \frac{R_{2}}{R_{1}+R_{2}} P = VI = \frac{V^{2}}{R} = I^{2}R V_{rms} = \frac{V_{peak}}{\sqrt{2}}
\frac{1}{C_{T}} = \frac{1}{C_{1}} + \frac{1}{C_{2}} + \frac{1}{C_{3}} C_{T} = C_{1} + C_{2} + C_{3}
L_{T} = L_{1} + L_{2} + L_{3} \frac{1}{L_{T}} = \frac{1}{L_{1}} + \frac{1}{L_{2}}
Z = \sqrt{R^{2}+X^{2}} V_{T} = \sqrt{{V_{R}}^{2}+{V_{C}}^{2}} \;\;  (or \; {V_{L}}^{2})
f = \frac{1}{2\pi \sqrt{LC}} T=\frac{1}{f}
Q = \frac{2\pi fL}{R} or \frac{1}{2\pi fCR} Q=\frac{f_{C}}{f_{U}-F_{L}} = \frac{centre \,  frequency}{bandwidth}
Q=2\pi fCR_{D} I_{P} = I_{S}\frac{N_{s}}{N_{p}}
V_{S} = V_{P}\frac{N_{s}}{N_{p}} f_{step} = \frac{f_{crystal}}{A}
I_{C} = \beta I_{B} Gain\,(loss) = 10\log_{10} \frac{power\,out}{power\,in}\;  dB
c = 3\times 10^{8} \; m/s Gain\,(loss) = 20\log_{10} \frac{voltage\,out}{voltage\,in}\;  dB
v=f\lambda Return\,Loss = 10\log_{10} \frac{Reflected\,power}{Incident\,power}
E=\frac{7\sqrt{erp}}{d} Gain = 10\log_{10} \frac{power\,from\,Yagi}{power\,from\,dipole}\; dBd
erp=power \times gain \; (linear)

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