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In the circuit shown, R 1 = 0.440 ohms, R 2 = 4.40 ohms, R 3 = 44.0 ohms, and R

ID: 1324939 • Letter: I

Question

In the circuit shown, R1 = 0.440 ohms, R2 = 4.40 ohms, R3 = 44.0 ohms, and R0 = 440 ohms.

A)

Calculate the equivalent resistance of the circuit when a 5.60 V power supply is connected between points A and C.

B)

Calculate the current through R0.

C)

Calculate the current through R1.

In the circuit shown, R1 = 0.440 ohms, R2 = 4.40 ohms, R3 = 44.0 ohms, and R0 = 440 ohms. A) Calculate the equivalent resistance of the circuit when a 5.60 V power supply is connected between points A and C. B) Calculate the current through R0. C) Calculate the current through R1.

Explanation / Answer

If a voltage supply runs on A nd C, then:

[R0, R3 are in series] parallel [R1 and R2 in series]

Thus,

[440 ohms and 44.0 are in series] parallel [0.440 and 4.40 in series]

=

[484 ohms] parallel [4.84 ohms]


= 4.79 ohms [ANSWER, PART A]


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The current that passes through R0 and R3, as they are in series connected to the battery is

I = 5.60 V/(440 + 44 ohms)

= 0.0116 A   [ANSWER, PART B, CURRENT THROUGH R0]


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The current that passes through R1 and R2, as they are in series connected to the battery is

I = 5.60 V/(4.40 + 0.44 ohms)

= 1.16 A    [ANSWER, PART C, CURRENT RHOUGH R1]