Diketahui :

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R1 = 30 Ω
R2 = 9 Ω
R3 = 10 Ω
R4 = 15 Ω
R5 = 20 Ω

Ditanya :
tegangan pada R1 dan R3 adalah . . . .​

Diketahui :

Diketahui :

Penjelasan:

Diketahui :

R1 = 30 Ω

R2 = 9 Ω

R3 = 10 Ω

R4 = 15 Ω

R5 = 20 Ω

Ditanya :

tegangan pada R1 dan R3 adalah . . . .

Jawab:

misal

p1 = paralel 1, p2 = paralel 2

s1 = seri 1

Dari gambar dapat dihitung:

R p1 = R3 || R4 => (10×15)/(10+15)

= 150/25

= 6 ohm

R s1 = R p1 + R2 = 6+9 = 15 ohm

R p2 = R1 || R s1 => (30×15) /(30+15)

= 450/45

= 10 ohm

R total = R p2 + R5 = 10+20 = 30 ohm

i = V/Rt = 9/ 30 = 0,3 A

Tegangan pada R1 = i × R p2 =

0,3 × 10 = 3 volt.

i pada R2 = 3 / R s1 = 3/15 = 0,2 A

Tegangan pada R3 = 0,2 × R p1

= 0,2 × 6 = 1,2 volt

Jawaban:

V_1 = 3 : Volt

V_3 = 1,2 : Volt

Penjelasan:

:

begin{align}R_{total} &= blue{R_{SP_{1,2,3,4}}} + R_5 \ R_{total} &= frac{1}{ frac{1}{R_1} + frac{1}{ R_{SP_{2,3,4}}} } + R_5 \ R_{total} &= frac{1}{ frac{1}{R_1} + frac{1}{R_2 + R_{P_{3,4}} }} + R_5 \ R_{total} &= frac{1}{ frac{1}{R_1} + frac{1}{R_2 + frac{1}{ frac{1}{R_3 } + frac{1}{R_4} } } } + R_5 \ R_{total} &= frac{1}{ frac{1}{30} + frac{1}{9 + frac{1}{ frac{1}{10 } + frac{1}{15} } } } + 20 \ R_{total} &= frac{1}{ frac{1}{30} + frac{1}{9 + 6 } } + 20 \ R_{total} &= frac{1}{ frac{1}{30} + frac{1}{ 15} } + 20 \R_{total} &= blue{10} + 20 \ R_{total} &=30 : Ω \ \ \ I_{total} &= frac{V_{total}}{R_{total}} \I_{total} &= frac{9}{30} \I_{total} &= 0,3 : A \ \ \V_{SP_{1,2,3,4}} &= I_{total} times blue{R_{SP_{1,2,3,4}}} = 0,3 times blue{10} = 3 : Volt \ \ \ V_1 &=V_{SP_{1,2,3,4}} = boxed{ bold{3 : Volt}} \ \ \I_1 &= frac{V_1}{R_1} = frac{3}{30} = 0,1 : A\ \ \ V_{SP_{2,3,4}}&=V_{SP_{1,2,3,4}} = 3 : Volt \ \ \ V_{SP_{2,3,4}}&=V_2 +V_{P_{3,4}} \ 3 & = I_2.R_2+V_{P_{3,4}} \ 3 & =(0,3 - 0,1).9 + V_{P_{3,4}} \ V_{P_{3,4}}& = 1,2 : : Volt \ \ \V_3& =V_{P_{3,4}} = boxed{bold{1,2 : : Volt }}end{align}