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A circuit consists of three resistors and a 3.50 V battery. Two of the resistors have known resistances of 5 Ω and 10 Ω respectively. The third resistor has an unknown resistance. When the battery is connected to the circuit, the current running through the battery is measured to be 10 A.

a. Calculate the resistance of the unknown resistor.


b. Draw the circuit and label each component.

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onyebuchinnaji

The resistance of the unknown resistor is determined as 0.39 ohms.

Equivalent resistance of the circuit

The total resistance of the circuit is calculated as follows;

V = IR

R = V/I

R = (3.5)/10

R = 0.35 ohms

The resistors are in parallel arrangement

1/R = 1/R₁ + 1/R₂ + 1/R₃

1/0.35 = 1/5 + 1/10 + 1/R₃

100/35 = 3/10 +  1/R₃

20/7 = 3/10 +  1/R₃

1/R₃ = 20/7 - 3/10

1/R₃ = (200 - 21)/70

1/R₃ = 179/70

R₃ = 70/179

R₃ = 0.39 ohms

Learn more about parallel resistors here: https://brainly.com/question/24155667

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