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shtirl [24]
3 years ago
6

What resistance must be connected in parallel with a 633-Ω resistor to produce an equivalent resistance of 205 Ω?

Physics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

303 Ω

Explanation:

Given

Represent the resistors with R1, R2 and RT

R1 = 633

RT = 205

Required

Determine R2

Since it's a parallel connection, it can be solved using.

1/Rt = 1/R1 + 1/R2

Substitute values for R1 and RT

1/205 = 1/633 + 1/R2

Collect Like Terms

1/R2 = 1/205 - 1/633

Take LCM

1/R2 = (633 - 205)/(205 * 633)

1/R2 = 428/129765

Take reciprocal of both sides

R2 = 129765/428

R2 = 303 --- approximated

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A = π*D²/4   ⇒   D = 2*√(A/π)

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⇒   D = 8.434 m ≈ 8.45 m

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L² = x² + h²

⇒ L² = (100.00 m)² + (2.00 m)²

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