Use the circuit in figure 7 below to answer the questions that follow (i) Calculate resistance in the…

Question

Use the circuit in figure 7 below to answer the questions that follow (i) Calculate resistance in the circuit. (ii) Determine the current flowing through the 5 Ω resistor.

ScanSolve AI Tutor · Accepted Answer

Huu hapa ni ufumbuzi wa maswali yaliyoonekana kwenye picha.

Swali (b):
Taja sababu mbili zinazoathiri upinzani wa kondakta ya metali. (alama 1)

Urefu wa kondakta.
Eneo la msalaba (cross-sectional area) la kondakta.
Aina ya nyenzo (resistivity) ya kondakta.
Joto la kondakta.

Swali (c):
Tumia mzunguko katika kielelezo cha 7 hapa chini kujibu maswali yanayofuata.

Swali (c)(i):
Kokotoa jumla ya upinzani katika mzunguko.

Kokotoa upinzani wa kwanza wa sambamba ( $R_{p1}$ ).
Kuna vipingamizi vitatu vilivyounganishwa sambamba: $10 \, \Omega$ , $20 \, \Omega$ , na $20 \, \Omega$ .
$\frac{1}{R_{p1}} = \frac{1}{10 \, \Omega} + \frac{1}{20 \, \Omega} + \frac{1}{20 \, \Omega}$ $\frac{1}{R_{p1}} = \frac{2}{20 \, \Omega} + \frac{1}{20 \, \Omega} + \frac{1}{20 \, \Omega} = \frac{4}{20 \, \Omega} = \frac{1}{5 \, \Omega}$ $R_{p1} = 5 \, \Omega$
Kokotoa upinzani wa pili wa sambamba ( $R_{p2}$ ).
Kuna vipingamizi viwili vilivyounganishwa sambamba: $10 \, \Omega$ na $5 \, \Omega$ .
$\frac{1}{R_{p2}} = \frac{1}{10 \, \Omega} + \frac{1}{5 \, \Omega}$ $\frac{1}{R_{p2}} = \frac{1}{10 \, \Omega} + \frac{2}{10 \, \Omega} = \frac{3}{10 \, \Omega}$ $R_{p2} = \frac{10}{3} \, \Omega$
Kokotoa jumla ya upinzani ( $R_{total}$ ).
Vipingamizi $R_{p1}$ , $3 \, \Omega$ , na $R_{p2}$ vimeunganishwa kwa mfululizo.
$R_{total} = R_{p1} + 3 \, \Omega + R_{p2}$ $R_{total} = 5 \, \Omega + 3 \, \Omega + \frac{10}{3} \, \Omega$ $R_{total} = 8 \, \Omega + \frac{10}{3} \, \Omega$
Ili kuongeza, tunahitaji denominator ya kawaida:
$R_{total} = \frac{24}{3} \, \Omega + \frac{10}{3} \, \Omega$ $R_{total} = \frac{34}{3} \, \Omega$ $R_{total} \approx 11.33 \, \Omega$
Jumla ya upinzani katika mzunguko ni $\boxed{\text{11.33 \Omega}}$ .

Swali (c)(ii):
Tambua mkondo wa umeme unaopita kwenye kipingamizi cha $5 \, \Omega$ .
Kokotoa jumla ya mkondo wa umeme ( $I_{total}$ ) kutoka chanzo.
Tumia Sheria ya Ohm, $I = \frac{V}{R}$ . Voltage ya chanzo ni $20 \, V$ .
$I_{total} = \frac{20 \, V}{\frac{34}{3} \, \Omega}$ $I_{total} = \frac{20 \times 3}{34} \, A = \frac{60}{34} \, A = \frac{30}{17} \, A$
Kokotoa voltage kwenye kipingamizi cha sambamba cha $R_{p2}$ .
Mkondo wa jumla unapita kwenye $R_{p2}$ .
$V_{p2} = I_{total} \times R_{p2}$ $V_{p2} = \frac{30}{17} \, A \times \frac{10}{3} \, \Omega$ $V_{p2} = \frac{300}{51} \, V = \frac{100}{17} \, V$
Kokotoa mkondo wa umeme unaopita kwenye kipingamizi cha $5 \, \Omega$ .
Kwa kuwa vipingamizi vya $10 \, \Omega$ na $5 \, \Omega$ vimeunganishwa sambamba, voltage kwenye kila kipingamizi ni $V_{p2}$ .
$I_{5\Omega} = \frac{V_{p2}}{5 \, \Omega}$ $I_{5\Omega} = \frac{\frac{100}{17} \, V}{5 \, \Omega}$ $I_{5\Omega} = \frac{100}{17 \times 5} \, A = \frac{20}{17} \, A$ $I_{5\Omega} \approx 1.18 \, A$
Mkondo wa umeme unaopita kwenye kipingamizi cha $5 \, \Omega$ ni $\boxed{\text{1.18 A}}$ .

Use the circuit in figure 7 below to answer the questions that follow (i) Calculate resistance in the circuit. (ii) Determine the current flowing through the 5 Ω resistor.

Step-by-step solution

Kokotoa upinzani wa kwanza wa sambamba ( $R_{p1}$ ).

Kokotoa upinzani wa pili wa sambamba ( $R_{p2}$ ).

Kokotoa jumla ya upinzani ( $R_{total}$ ).

Kokotoa jumla ya mkondo wa umeme ( $I_{total}$ ) kutoka chanzo.

Kokotoa voltage kwenye kipingamizi cha sambamba cha $R_{p2}$ .

Kokotoa mkondo wa umeme unaopita kwenye kipingamizi cha $5 \, \Omega$ .

Still stuck on this one?

More Physics Questions

Use the circuit in figure 7 below to answer the questions that follow (i) Calculate resistance in the circuit. (ii) Determine the current flowing through the 5 Ω resistor.

Step-by-step solution

Kokotoa upinzani wa kwanza wa sambamba (Rp1R_{p1}Rp1​).

Kokotoa upinzani wa pili wa sambamba (Rp2R_{p2}Rp2​).

Kokotoa jumla ya upinzani (RtotalR_{total}Rtotal​).

Kokotoa jumla ya mkondo wa umeme (ItotalI_{total}Itotal​) kutoka chanzo.

Kokotoa voltage kwenye kipingamizi cha sambamba cha Rp2R_{p2}Rp2​.

Kokotoa mkondo wa umeme unaopita kwenye kipingamizi cha 5 Ω5 \, \Omega5Ω.

Still stuck on this one?

More Physics Questions

Kokotoa upinzani wa kwanza wa sambamba ( $R_{p1}$ ).

Kokotoa upinzani wa pili wa sambamba ( $R_{p2}$ ).

Kokotoa jumla ya upinzani ( $R_{total}$ ).

Kokotoa jumla ya mkondo wa umeme ( $I_{total}$ ) kutoka chanzo.

Kokotoa voltage kwenye kipingamizi cha sambamba cha $R_{p2}$ .

Kokotoa mkondo wa umeme unaopita kwenye kipingamizi cha $5 \, \Omega$ .