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# 并联电导

${\text{R}}_{\text{parallel}}=\frac{1}{\left(\frac{1}{\text{R1}}+\frac{1}{\text{R2}}+\text{…}+\frac{1}{{\text{R}}_{\text{N}}}\right)}$

## 电导

$\text{R}=\frac{v}{i}$

$\text{G}=\frac{i}{v}$

$i=v\phantom{\rule{0.167em}{0ex}}\text{G}$

## 并联式电导

• 三导体中的电流的总和应等于$i$
• 三导体中的电压都等于 $v$

$i={i}_{\text{G1}}+{i}_{\text{G2}}+{i}_{\text{G3}}$
${i}_{\text{G1}}=v\cdot \text{G1}\phantom{\rule{2em}{0ex}}{i}_{\text{G2}}=v\cdot \text{G2}\phantom{\rule{2em}{0ex}}{i}_{\text{G3}}=v\cdot \text{G3}$

$i=v\cdot \text{G1}\phantom{\rule{0.167em}{0ex}}+\phantom{\rule{0.167em}{0ex}}v\cdot \text{G2}\phantom{\rule{0.167em}{0ex}}+\phantom{\rule{0.167em}{0ex}}v\cdot \text{G3}$

$i=v\phantom{\rule{0.167em}{0ex}}\phantom{\rule{0.167em}{0ex}}\left(\text{G1}+\text{G2}+\text{G3}\right)$

### 等量并联电导

${\text{G}}_{\text{parallel}}=\text{G1}+\text{G2}+\text{G3}$

## 总结

${\text{G}}_{\text{parallel}}=\text{G1}+\text{G2}+\text{…}+{\text{G}}_{\text{N}}$
${\text{R}}_{\text{parallel}}=\frac{1}{\left(\frac{1}{\text{R1}}+\frac{1}{\text{R2}}+\text{…}+\frac{1}{{\text{R}}_{\text{N}}}\right)}$