Need Help with Mid-Term Study Guide Question

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SUMMARY

The discussion centers on a physics problem involving a circuit subjected to a 16-N force while maintaining a constant speed. The circuit has a 6.0-A current flowing through a 4.0-ohm resistor. The calculations reveal that the speed (v) of the circuit is 9.0 m/s, derived from the formula v = I²R/F. The right-hand rule is employed to determine the direction of the current flow, which is essential for understanding the induced force in the magnetic field directed into the paper.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically Faraday's Law.
  • Familiarity with Ohm's Law and circuit analysis.
  • Knowledge of the right-hand rule for determining current and force directions.
  • Basic proficiency in solving physics equations involving forces and currents.
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction in detail.
  • Explore advanced applications of the right-hand rule in electromagnetic contexts.
  • Learn about the relationship between force, current, and magnetic fields in circuits.
  • Investigate the implications of circuit resistance on current flow and induced forces.
USEFUL FOR

Physics students, educators, and anyone studying electromagnetism or circuit dynamics will benefit from this discussion.

Physrook 09
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Question Details:

A circuit is pulled with a 16-N force toward the right to maintain a constant speed v. At the instant shown, the loop is partially in and partially out of a uniform magnetic field that is directed into the paper. As the circuit moves, a 6.0-A current flows through a 4.0- ohm resistor. What is the direction of the current flow? What is the magnitude of v? Diagram attached.
 

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Here's what i have so far, please help?

F = 16 N, I = 6.0 A, R = 4.0 Ω, find v
F = IBL, so BL = F/I
BLv = IR
Fv/I = IR
∴v = I2R/F = 9.0 m/s
 
use the right hand rule to determine current flow direction. Which way is the induced force going to be pointing, and in which direction does the current flow for this to be true?
 

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