---
# System prepended metadata

title: Formulário Eletromagnetismo
tags: [UFBA]

---

# Formulário Eletromagnetismo

| Número |                                                                     Fórmula                                                                      | Observação |
|:------:|:------------------------------------------------------------------------------------------------------------------------------------------------:|:----------:|
|   1    |                                                            $Q=\frac{f_{0}}{\Delta f}$                                                            |            |
|   2    |                            $\beta_{mn}=\sqrt{k^{2}-\left(\frac{m\pi}{a}\right)^{2}-\left(\frac{n\pi}{b}\right)^{2}}$                             |            |
|   3    |                                                          $k=\omega\sqrt{\mu \epsilon}$                                                           |            |
|   4    |                                                           $\beta_{mn}=\frac{l\pi}{d}$                                                            |            |
|   5    |                 $k_{mnl}=\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                 |            |
|   6    | $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$ |            |
|   7    |                                                         $Q=\omega\frac{W_{m}+W_{e}}{P}$                                                          |            |
|   8    |                                                 $W_{\epsilon}=\frac{\epsilon abd}{16}E_{0}^{2}$                                                  |            |
|   9    |                                                     $W_{m}=\frac{\epsilon abd}{16}E_{0}^{2}$                                                     |            |
|   10   |                                                   $R_{s}=\sqrt{\frac{\omega\mu}{2\sigma_{c}}}$                                                   |            |
|   11   |                                                       $\eta'=\sqrt{\frac{\mu}{\epsilon}}$                                                        |            |
|   12   |      $P_{c}=\frac{R_{s}E_{0}^{2}\lambda^{2}}{8\eta'^{2}}\left(\frac{l^{2}ab}{d^{2}}+\frac{bd}{a^{2}}+\frac{l^{2}a}{2d}+\frac{d}{2a}\right)$      |            |
|   13   |                   $Q_{c}=\frac{\left(kad\right)^{3}b\eta'}{2\pi^{2}R_{s}\left(2l^{2}a^{3}b+2bd^{3}+l^{2}a^{3}d+ad^{3}\right)}$                   |            |
|   14   |                                                       $Q_{d}=\frac{\epsilon'}{\epsilon''}$                                                       |            |
|   15   |                                                           $Q_{d}=\frac{1}{\tan\delta}$                                                           |            |
|   16   |                                                 $Q_{t}=\left(Q_{c}^{-1}+Q_{d}^{-1}\right)^{-1}$                                                  |            |
|   17   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |     d isolado      |
|   18   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |       a isolado     |
|   19   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |      b isolado      |
|   20   |                                                                        $\beta_{mn}=\sqrt{k^{2}-\left(\frac{\rho'_{nm}}{a}\right)^{2}}$                                                                        |            |
|   21   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{\rho_{nm}}{a}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |            |
|   22   |                                                                        $\frac{d}{a}=2.03$                                                                        |            |
|   23   |                                                                        $P_{c}=\frac{R_{s}}{2}\pi H_{0}^{2}J_{n}^{2}\left(\rho'_{nm}\right)\left\{\frac{da}{2}\left[1+\left(\frac{\beta an}{\left(\rho'_{nm}\right)^{2}}\right)^{2}\right]+\left(\frac{\beta a^{2}}{\rho'_{nm}}\right)\left(1-\frac{n^{2}}{\left(\rho'_{nm}\right)^{2}}\right)\right\}$                                                                        |            |
|   24   |                                                                        $Q_{c}=\frac{\left(ka\right)^{3}\eta'ad}{4\left(\rho'_{nm}\right)^{2}R_{s}}\frac{\left[1-\left(\frac{n}{\rho'_{nm}}\right)^{2}\right]}{\left\{\frac{ad}{2}\left[1+\left(\frac{\beta an}{\left(\rho'_{nm}\right)^{2}}\right)^{2}\right]+\left(\frac{\beta a^{2}}{\rho'_{nm}}\right)\left(1-\frac{n^{2}}{\left(\rho'_{nm}\right)^{2}}\right)\right\}}$                                                                        |            |
|   25   |                                                                        $P_{d}=\frac{\omega\epsilon''k^{2}\eta'^{2}a^{4}H_{0}^{2}}{8\left(\rho'_{nm}\right)^{2}}\left[1-\left(\frac{n}{\rho'_{nm}}\right)^{2}\right]J_{n}^{2}\left(\rho'_{nm}\right)$                                                                        |            |
|   26   |                                                                        $Q_{c}=\frac{2.4049\sqrt{\frac{\mu}{\epsilon}}}{2\left(1+\frac{a}{d}\right)R_{s}}$                                                                        |            |
|   27   |                                                                        $k=\frac{2\pi f_{011}\sqrt{\epsilon_{r}}}{c}$                                                                        |            |
|   28   |                                                                        $\omega=2\pi f$                                                                        |            |
|   29   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{\rho_{nm}}{a}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |         d isolado, a=zd   |
|   30   |                                                                        $\sigma=\frac{ωϵ_{r}ϵ}{\tanδ}$                                                                        |            |
|   31   |                                                                        $\Delta f=2\left(f_{0}-f^{-}\right)$                                                                        |            |
|   32   |                                                                        $\frac{2a}{d}$                                                                        |            |
|   33   |                                                                        $Q_{c}=\left(Q_{t}^{-1}-Q_{d}^{-1}\right)^{-1}$                                                                        |            |
|   34   |                                                                        $R_{s}=x\frac{\pi\cdot\eta}{Q_{c}},\ \sigma_{c}=\frac{ωμ_{0}}{2R_{s}^{2}}$                                                                        |            |
|   35   |                                                                        $ϵ''=\frac{\sigma_{c}}{ω}$                                                                        |            |
|   36   |                                                                        $Q_{c}=\frac{\left(kad\right)^{3}b\eta'}{2\pi^{2}R_{s}\left(2l^{2}a^{3}b+2bd^{3}+l^{2}a^{3}d+ad^{3}\right)}$                                                                        |     isola a, a=b=c       |
|   37   |                                                                        $f_{mnl}=\frac{c}{2\pi\sqrt{\mu\epsilon}}\sqrt{\left(\frac{m\pi}{a}\right)^{2}+\left(\frac{n\pi}{b}\right)^{2}+\left(\frac{l\pi}{d}\right)^{2}}$                                                                        |       isola a, a=b=c     |
|   38   |                                                                        $Q_{c}=\frac{\left(kad\right)^{3}b\eta'}{2\pi^{2}R_{s}\left(2l^{2}a^{3}b+2bd^{3}+l^{2}a^{3}d+ad^{3}\right)}$                                                                        |     isola $R_s$       |
| 39 | $R_{s}=\sqrt{\frac{\omega\mu}{2\sigma_{c}}}$ | isola $\sigma_{c}$|


## Condutividades

| Metal              | Condutividade Elétrica $(\Omega m)^{-1}$ |
| ------------------ |:----------------------------------------:|
| Prata              |             $6.8\cdot10^{7}$             |
| Cobre              |             $6.0\cdot10^{7}$             |
| Ouro               |             $4.3\cdot10^{7}$             |
| Alumínio           |             $3.8\cdot10^{7}$             |
| Latão(70 Cu-30 Zn) |             $1.6\cdot10^{7}$             |
| Ferro              |             $1.0\cdot10^{7}$             |
| Platina            |            $0.94\cdot10^{7}$             |
| Aço-carbono        |             $0.6\cdot10^{7}$             |
| Aço inoxidável     |             $0.2\cdot10^{7}$             |

## Valores correspondentes modo TE

|     | $\rho'_{n0}$ | $\rho'_{n1}$ | $\rho'_{n2}$ | $\rho'_{n3}$ |
|:---:|:------------:|:------------:|:------------:|:------------:|
| n=0 |      0       |    3.832     |    7.016     |    10.174    |
| n=1 |      0       |    1.841     |    5.331     |    8.536    |
| n=0 |      0       |    3.054     |    6.706     |    9.970    |

## Valores correspondentes modo TM

|     | $\rho_{n0}$ | $\rho_{n1}$ | $\rho_{n2}$ | $\rho_{n3}$ |
|:---:|:------------:|:------------:|:------------:|:------------:|
| n=0 |      -       |    2.405     |    5.520     |    8.654    |
| n=1 |      0       |    3.832     |    7.016     |    10.174    |
| n=0 |      0       |    5.135     |    8.417     |    11.620    |

###### tags: `UFBA`









###### tags: `UFBA`
