Question

can someone show me how calculate the "given value" of 1000 Ω with the data: Circuit...

can someone show me how calculate the "given value" of 1000 Ω with the data:

Circuit 3: two 1 kΩ resistors and one 500 Ω resistor
  

R1 = 1 kΩ R2 = 1 kΩ R3 = 500 Ω

Current (mA)

Voltage (V)

R1

2.93

2.925

R2

2.96

2.925

R3

5.87

2.963

Battery

5.87

5.889

Given Value

Measured Value

Req

1000

1.006

Science   Physics   
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Homework Answers

Answer #1

R1 = 1 kΩ = 1000Ω; R2 = 1 kΩ = 1000Ω; R3 = 500 Ω

It is clear from the data and table that R1 and R2 are connected in parallel and this combination is connected in series with R3.

The effective resistance of R1 and R2 in parallel is Rp = R1 R2/(R1 + R2)

Rp = 1000 x 1000/(1000 + 1000) = 500Ω

The effective resistance Rp and R3 are in series.

Total resistance of the combination, Req = Rp + R3 = 500 + 500 = 1000 Ω

The given value of equivalent resistance, Req = 1000 Ω

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