Four resistors and an ideal (zero resistance) battery are laid out in a star-shaped pattern, and connected in three different ways, as shown below. The resistors have resistances of R, 2R, 3R, and 4R, as labeled on the diagram. We will give a value for R later, but you don't need to know it to answer the first two parts of this problem. >2R 2R 22R 3R 3R R 3R Z4R 4R 4R A В (a) Rank the circuits based on the magnitude of the current through the battery, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (b) In terms of R, what is the equivalent resistance of Circuit A? Just enter the numerical coefficient in front of the R in the answer box below. R For the rest of this problem, use these numbers. The battery voltage is 27.0 V, and the value of R is 2.00 ohms. (c) In Circuit C, calculate the magnitude of the current in the battery. (d) In Circuit B, calculate the total power dissipated in the resistors.

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Four resistors and an ideal (zero resistance) battery are laid out in a star-shaped pattern, and connected in three different ways, as shown below. The resistors have resistances of R, 2R, 3R, and 4R,
as labeled on the diagram. We will give a value for R later, but you don't need to know it to answer the first two parts of this problem.
2R
2R
2R
R
3R
3R
3R
4R
4R
4R
A
(a) Rank the circuits based on the magnitude of the current through the battery, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or
symbols.)
(b) In terms of R, what is the equivalent resistance of Circuit A? Just enter the numerical coefficient in front of the R in the answer box below.
R
For the rest of this problem, use these numbers. The battery voltage is 27.0 V, and the value of R is 2.00 ohms.
(c) In Circuit C, calculate the magnitude of the current in the battery.
(d) In Circuit B, calculate the total power dissipated in the resistors.
w
Transcribed Image Text:Four resistors and an ideal (zero resistance) battery are laid out in a star-shaped pattern, and connected in three different ways, as shown below. The resistors have resistances of R, 2R, 3R, and 4R, as labeled on the diagram. We will give a value for R later, but you don't need to know it to answer the first two parts of this problem. 2R 2R 2R R 3R 3R 3R 4R 4R 4R A (a) Rank the circuits based on the magnitude of the current through the battery, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (b) In terms of R, what is the equivalent resistance of Circuit A? Just enter the numerical coefficient in front of the R in the answer box below. R For the rest of this problem, use these numbers. The battery voltage is 27.0 V, and the value of R is 2.00 ohms. (c) In Circuit C, calculate the magnitude of the current in the battery. (d) In Circuit B, calculate the total power dissipated in the resistors. w
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