Calculate the following from the provided circuit diagram. a) Total resultant resistance b) The total current c) Voltage across 3.6
Answers
Answer:
20 is the correct answer.
Explanation:
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Answer:
a) The resultant resistance is 9Ω.
b) Total current in the circuit is 0.5 A.
c) Voltage across 3.6 Ω resistor is 1.8 V.
Explanation:
a) Total resultant resistance :
The resistor R2 is parallel with R4 and R5. R4 and R5 are in series.
⇒ R series = R4 + R5
⇒ R series = 1Ω + 3Ω
⇒ R series = 4Ω
⇒ R4,5 = 4Ω
The resistor R2 is parallel with R4,5
⇒ 1/RP = 1/R2 + 1/R4,5
⇒ 1/RP = 1/6 + 1/4
⇒ 1/RP = (4 + 6)/24
⇒ 1/RP = 10/24
⇒ RP = 2.4 Ω
R1, RP and R3 are in series,
⇒ 3 + 2.4 + 3.6
⇒ 3 + 6
⇒ 9 Ω
Therefore, the resultant resistance is 9Ω.
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b) Total Current in circuit :
⇒ I = V/R
⇒ I = 4.5/9
⇒ I = 0.5 A
Therefore, total current in the circuit is 0.5 A.
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c) Voltage across 3.6 Ω :
The resistor of 3.6 Ω is in series. Which means the current in the circuit is constant.
⇒ V = I × R
⇒ V = 0.5 × 3.6
⇒ V = 1.8 V
Therefore voltage across 3.6 Ω resistor is 1.8 V.