A diagram of a closed circuit with a power source on the left labeled 6 V. There are 3 resistors in parallel, separate paths, connected to it labeled B 10 Ohms, C 20 Ohms and D 50 Ohms. The branch with the power source is labeled A. There are vectors in the clockwise direction across all three resistors and in the branch with the power source. Perform calculations using the circuit illustrated. Round all the numerical answers to the tenths place. The total resistance in the circuit is Ω. The expected current at point A is A. At what point in the circuit will the current be the lowest (A, B, C, or D)?

Respuesta :

Answer:

1- 5.9

2- 1

3- D

Explanation:

right on edg 2021

(a) The total resistance in the circuit is 5.88 Ω.

(b) The expected current at point A is 1.02 A

(c) point in the circuit will the current be the lowest will be D

What is resistance?

The resistance of a wire is defined as the restriction to the flow of the charge or current offered by the wire.

The given resistances are

[tex]R_1=10\\\\R_2=20\\\\R_3=50[/tex]

Now in parallel combination the voltage remains same and current is different for each resistance.

[tex]\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}[/tex]

[tex]\dfrac{1}{R}=\dfrac{1}{10}+\dfrac{1}{20}+\dfrac{1}{50}[/tex]

[tex]R=5.88[/tex]

(b) The current at point A will be calculated as

[tex]I=\dfrac{V}{R}[/tex]

[tex]I=\dfrac{6}{5.88}=1.02\ A[/tex]

(c) The minimum current will flow from the point D because the resistance is maximum  at this point.

Hence

(a) The total resistance in the circuit is 5.88 Ω.

(b) The expected current at point A is 1.02 A

(c) point in the circuit will the current be the lowest will be D

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