Mfano wa mzunguko wa kinzani

Mifano 3 ya maswali ya mzunguko wa kinzani

1. Mfululizo wa vipingamizi vilivyo hapa chini ambavyo vina upinzani sawa zaidi ni...

Majadiliano

Jibu A

R₁ = 2 Ω, R₂ = 2 Ohm, R₃ = 6 Ohm, R₄ = 6 Ohm

R₃ na R₄ imeunganishwa sambamba. Kipingamizi mbadala ni:

1 / R₃₄ = 1/R₃ +1/R₄ = 1/6 + 1/6 = 2/6

R₃₄ = 6 / 2 = 3 Ω

R_1, R₂ na R₃₄ imeunganishwa mfululizo. Kipingamizi mbadala ni:

R = R₁ + R₂ + R₃₄ = 2 Ω + 2 Ω + 3 Ω

R = 7 Ω

Jibu B

R₁ = 2 Ohm, R₂ = 4 Ohm, R₃ = 4 Ohm, R₄ = 8 Ohm

R₂ na R₃ imeunganishwa mfululizo. Kipingamizi mbadala ni:

R₂₃ = R₂ + R₃ = 4 Ω + 4 Ω = 8 Ω

R₂₃ na R₄ imeunganishwa sambamba. Kipingamizi mbadala ni:

1 / R₂₃₄ = 1/R₂₃ +1/R₄ = 1/8 + 1/8 = 2/8

R₂₃₄ = 8 / 2 = 4 Ω

R₁ na R₂₃₄ imeunganishwa mfululizo. Kipingamizi mbadala ni:

R=R₁ + R₂₃₄ = 2 Ω + 4 Ω

R = 6 Ω

Jibu C

R₁ = 9 Ohm, R₂ = 9 Ohm, R₃ = 9 Ohm, R₄ = 2 Ohm

R_1, R₂ na R₃ imeunganishwa sambamba. Kipingamizi mbadala ni:

1 / R₁₂₃ = 1 /R₁ + 1/R₂ +1/R₃ = 1/9 + 1/9 + 1/9 = 3/9

R₁₂₃ = 9/3 = 3 Ω

R₁₂₃ na R₄ imeunganishwa mfululizo. Kipingamizi mbadala ni:

R=R₁₂₃ + R₄ = 3 Ω + 2 Ω

R = 5 Ω

Jibu D

R₁ = 5 Ohm, R₂ = 10 Ohm, R₃ = 2 Ohm, R₄ = 2 Ohm

R₁ na R₂ imeunganishwa sambamba. Kipingamizi mbadala ni:

1 / R₁₂ = 1/R₁ +1/R₂ = 1/5 + 1/10 = 2/10 + 1/10

1 / R₁₂ = 3 / 10

R₁₂ = 10 / 3 Ω

R₃ na R₄ imeunganishwa sambamba. Kipingamizi mbadala ni:

1 / R₃₄ = 1/R₃ +1/R₄ = 1/2 + 1/2 = 2/2

R₃₄ = 1 Ω

R₁₂ na R₃₄ imeunganishwa mfululizo. Kipingamizi mbadala ni:

R=R₁₂ + R₃₄ = 10/3 + 3/3 = 13/3

R = 4,3 Ω

Jibu sahihi ni A.

2. Upinzani sawa katika picha iliyo hapa chini ni…

A. 26 Ohm

B. 16 Ohms

C. 15 Ohms

D. 11 Ohm

Majadiliano

Vipingamizi 6 Ω, 3 Ω na 2 Ω vimeunganishwa sambamba. Vipingamizi mbadala ni:

1 / R_P = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6

R_P = 6/6 = 1 Ohm

Vipingamizi 7 Ω, 8 Ω, na 1 Ω vimeunganishwa mfululizo. Vipingamizi mbadala ni:

R = 7 + 8 + 1 = 16 Ω

Jibu sahihi ni B.

3. Rp ni kiasi gani katika saketi mchanganyiko iliyo hapa chini?

A. 8 ohms

B. 1/8 ohm

C. 1 ohm

D. 7 ohms

Majadiliano

Inajulikana kwamba:

Kipingamizi 1 (R)₁) = 2 Ohms

Kipingamizi 2 (R)₂) = 2 Ohms

Kipingamizi 3 (R)₃) = 2 Ohms

Kipingamizi 4 (R)₄) = 2 Ohms

Aliuliza: Kipingamizi mbadala

Jibu:

Kipingamizi R₂ na kipingamizi R₃ imeunganishwa sambamba. Kipingamizi mbadala:

1 / R₂₃ = 1/R₂ +1/R₃

1 / R₂₃ = 1/2 + 1/2 = 2/2

R₂₃ = 1 Ohm

Kipingamizi R₁, kipingamizi R₂₃ na kipingamizi R₃ imeunganishwa mfululizo. Kipingamizi mbadala:

R=R₁ + R₂ + R₃ = 2 + 1 + 2

R = 5 Ohm

Jibu sahihi ni 5 Ohms.

Chanzo cha swali:

Maswali ya Mtihani wa Kitaifa wa Sayansi ya Shule ya Upili ya Vijana/Shule ya Upili ya Kiislamu