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What is the meaning of 4 R1?

Updated: 9/24/2023
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Q: What is the meaning of 4 R1?
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What happens to the volume of a sphere when the radius is tripled?

The volume of the larger sphere will be 27 times the original.The volume of a sphere is (4/3)*pi*r³, so if V1 = (4/3)*pi*r1³ and V2 = (4/3)*pi*r2³ the ratio of volumes V2/V1 = r2³ / r1³ = 27 [the (4/3) and pi cancel];since r2 = (3*r1) then (3*r1)³ = (3³*r1³) = 27* r1³, then divide by r1³ and the answer is 27.


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If the equivalent resistance in parallel is 2, then the formula for parallel resistance is 1/R_parallel = 1/R1 + 1/R2. Given that R_parallel = 2, we can deduce that 1/R1 + 1/R2 = 1/2. Similarly, for series connection, the equivalent resistance is equal to the sum of the individual resistances, so R1 + R2 = 2. Solving these two equations simultaneously, we find that the two resistor values are R1 = 1Ω and R2 = 1Ω.


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