Six resistors, all having the same temperatures and compositions, are each attached to a battery with voltage V to form a simple circuit. The resistors have different lengths, l, but the same diameters. Rank the circuits according to the current that flows through the resistor from greatest to smallest. If two (or more) circuits have the same current flowing, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) Circuit: l = 2 cm; V = 1 V Circuit: l = 2 cm; V = 2 V Circuit: l = 1 cm; V = 1 V Circuit: l = 1 cm; V = 2 V Circuit: l = 3 cm; V = 1 V Circuit: l = 3 cm; V = 2 V   Explain the rationale you used to establish your rankings. (Select all that apply.) The greater the voltage across a resistor, the greater the current through it.The greater the voltage across a resistor, the less the current through it.The longer the resistor is, the less its resistance, and the current through it will be greater.The longer the resistor is, the greater its resistance, and the current through it will be less.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Six resistors, all having the same temperatures and compositions, are each attached to a battery with voltage V to form a simple circuit. The resistors have different lengths, l, but the same diameters. Rank the circuits according to the current that flows through the resistor from greatest to smallest. If two (or more) circuits have the same current flowing, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
  1. Circuit: l = 2 cm; V = 1 V
  2. Circuit: l = 2 cm; V = 2 V
  3. Circuit: l = 1 cm; V = 1 V
  4. Circuit: l = 1 cm; V = 2 V
  5. Circuit: l = 3 cm; V = 1 V
  6. Circuit: l = 3 cm; V = 2 V
 
Explain the rationale you used to establish your rankings. (Select all that apply.)
The greater the voltage across a resistor, the greater the current through it.The greater the voltage across a resistor, the less the current through it.The longer the resistor is, the less its resistance, and the current through it will be greater.The longer the resistor is, the greater its resistance, and the current through it will be less.
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