Question

Determine a resistência equivalente entre os pontos A e B nas figuras :​

Answer 1

a)

5Ω + 3Ω = 8Ω

$\frac{1}{R} = \frac{1}{8} + \frac{1}{8}\\\\\frac{1}{R} = \frac{2}{8}$

2R = 8

R = 8 / 2

R = 4Ω

b)

$\frac{1}{R_1} = \frac{1}{6} + \frac{1}{3}\\\\\frac{1}{R_1} = \frac{1}{6} + \frac{2}{6}\\\\\frac{1}{R_1} = \frac{3}{6}$

3R₁ = 6

R₁ = 6 / 3

R₁ = 2Ω

R = 1Ω + 1Ω + R₁

R = 1Ω + 1Ω + 2Ω

R = 4Ω

c)

R₁ = 20Ω + 40Ω = 60Ω

R₂ = 30Ω + 30Ω = 60Ω

$\frac{1}{R_3} = \frac{1}{60} + \frac{1}{60} + \frac{1}{60}\\\\\frac{1}{R_3} = \frac{3}{60}$

3R₃ = 60

R₃ = 60 / 3

R₃ = 20Ω

R = 60Ω + R₃

R = 60Ω + 20Ω

R = 80Ω