AP Free Response Question
2013 B6
Printer Friendly Version
Two long, straight horizontal wires are near each other and parallel, with one directly above the other as shown in the figure.
Wire X is fixed in place and connected to a battery (not shown) so that it carries a current of 65 A. Wire Y, which is part of a second circuit, is free to move vertically and is suspended at rest by the magnetic force between the wires. The mass per length of wire Y is 5.6 x 10
^{-3}
kg/m . Neglect effects from the parts of the circuits that are not shown.
(a) Calculate the magnitude of the magnetic field produced by wire X at the position of wire Y.
(b) i. Calculate the magnitude of the current in wire Y.
(b) ii. Indicate the direction of the current in wire Y.
____ To the left
____ To the right
____ Neither left nor right, since there is no current
(c) Now wire Y is moved to a new position that is closer to wire X, but wire Y is still below wire X and is still carrying the same current as determined in part (b). Wire Y is released from rest. Describe the initial motion of wire Y. Justify your answer.
(d) Suppose wire Y is moved to a position 0.025 m above wire X. What changes in current, if any, must occur to maintain equilibrium?
(e) With wire Y still above wire X, the circuit connected to wire Y is removed. Wire Y, which is 1.2 m long, is then moved vertically up and away from wire X at a constant speed of 3.0 m/s.
i. Calculate the magnitude of the induced emf in wire Y when the wires are 0.050 m apart.
ii. Indicate which end of wire Y is at a higher electric potential. Justify your answer.
____ The left end
____ The right end
____ Neither end, since they are at the same electric potential
Topic Formulas
Description
Published Formula
capacitors in parallel
capacitors in series
electric current
Faraday's Law
friction
gravitational potential energy
Hooke's Law
Joule's Law
magnetic field around a current-carrying wire
magnetic flux
magnetic force on a current-carrying wire
magnetic force on a moving charge
motional emf
Newton's 2nd Law
Newton's Law of Universal Gravitation
Ohm's Law
resistance in parallel
resistance in series
resistivity
Related Documents
Lab:
CP -
Series and Parallel Circuits
Labs -
Coefficient of Friction
Labs -
Coefficient of Friction
Labs -
Coefficient of Kinetic Friction (pulley, incline, block)
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Falling Coffee Filters
Labs -
Force Table - Force Vectors in Equilibrium
Labs -
Forces Between Ceramic Magnets
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
Inertial Mass
Labs -
LabPro: Newton's 2nd Law
Labs -
Loop-the-Loop
Labs -
Magnetic Field in a Solenoid
Labs -
Mass of a Rolling Cart
Labs -
Mass of an Electron
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Parallel and Series Circuits
Labs -
RC Time Constants
Labs -
Relationship Between Tension in a String and Wave Speed
Labs -
Relationship Between Tension in a String and Wave Speed Along the String
Labs -
Resistance and Resistivity
Labs -
Resistance, Gauge, and Resistivity of Copper Wires
Labs -
Static Equilibrium Lab
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: LabPro Data for Hooke's Law
Labs -
Telegraph Project
Labs -
Terminal Velocity
Labs -
Terminal Voltage of a Lantern Battery
Labs -
Video LAB: A Gravitron
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Falling Coffee Filters
Labs -
Wheatstone Bridge
Resource Lesson:
RL -
A Comparison of RC and RL Circuits
RL -
A Guide to Biot-Savart Law
RL -
A Special Case of Induction
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
RL -
Ampere's Law
RL -
An Introduction to DC Circuits
RL -
Capacitors and Dielectrics
RL -
Dielectrics: Beyond the Fundamentals
RL -
Eddy Currents plus a Lab Simulation
RL -
Electricity and Magnetism Background
RL -
Famous Experiments: Cathode Rays
RL -
Filaments
RL -
Forces Acting at an Angle
RL -
Freebody Diagrams
RL -
Generators, Motors, Transformers
RL -
Gravitational Energy Wells
RL -
Inclined Planes
RL -
Induced Electric Fields
RL -
Induced EMF
RL -
Inductors
RL -
Inertial vs Gravitational Mass
RL -
Introduction to Magnetism
RL -
Kirchhoff's Laws: Analyzing Circuits with Two or More Batteries
RL -
Kirchhoff's Laws: Analyzing DC Circuits with Capacitors
RL -
LC Circuit
RL -
Magnetic Field Along the Axis of a Current Loop
RL -
Magnetic Forces on Particles (Part II)
RL -
Magnetism: Current-Carrying Wires
RL -
Maxwell's Equations
RL -
Meters: Current-Carrying Coils
RL -
Motional EMF
RL -
Newton's Laws of Motion
RL -
Non-constant Resistance Forces
RL -
Parallel Plate Capacitors
RL -
Properties of Friction
RL -
RC Time Constants
RL -
RL Circuits
RL -
Springs and Blocks
RL -
Springs: Hooke's Law
RL -
Static Equilibrium
RL -
Systems of Bodies
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Torque on a Current-Carrying Loop
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
What is Mass?
RL -
Work and Energy
Review:
REV -
Drill: Induction
Worksheet:
APP -
Big Fist
APP -
Family Reunion
APP -
Maggie
APP -
The Antelope
APP -
The Box Seat
APP -
The Circuit Rider
APP -
The Cycle Shop
APP -
The Jogger
APP -
The Tree House
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
DC Currents
CP -
Electric Power
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Gravitational Interactions
CP -
Incline Places: Force Vector Resultants
CP -
Incline Planes - Force Vector Components
CP -
Induction
CP -
Inertia
CP -
Magnetism
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Ohm's Law
CP -
Parallel Circuits
CP -
Power Production
CP -
Power Transmission
CP -
RIVP Charts #1
CP -
RIVP Charts #2
CP -
Series Circuits
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
CP -
Transformers
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Bar Magnets
NT -
Brightness
NT -
Falling Rock
NT -
Falling Spheres
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Ice Boat
NT -
Induction Coils
NT -
Light and Heat
NT -
Magnetic Forces
NT -
Meters and Motors
NT -
Parallel Circuit
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Series Circuits
NT -
Settling
NT -
Shock!
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Calculating Force Components
WS -
Capacitors - Connected/Disconnected Batteries
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Combinations of Capacitors
WS -
Combining Kinematics and Dynamics
WS -
Distinguishing 2nd and 3rd Law Forces
WS -
Force vs Displacement Graphs
WS -
Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
WS -
Induced emf
WS -
Introduction to R | I | V | P Charts
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
WS -
Kirchhoff's Laws: DC Circuits with Capacitors
WS -
Kirchhoff's Laws: Sample Circuit
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
Lab Discussion: Inertial and Gravitational Mass
WS -
Magnetic Forces on Current-Carrying Wires
WS -
Magnetic Forces on Moving Charges
WS -
net F = ma
WS -
Practice with Ampere's Law
WS -
Practice with Induced Currents (Changing Areas)
WS -
Practice with Induced Currents (Constant Area)
WS -
Practice: Vertical Circular Motion
WS -
Resistance, Wattage, and Brightness
WS -
Ropes and Pulleys in Static Equilibrium
WS -
Standard Model: Particles and Forces
WS -
Static Springs: The Basics
WS -
Vocabulary for Newton's Laws
WS -
Work and Energy Practice: Forces at Angles
TB -
34A: Electric Current
TB -
35A: Series and Parallel
TB -
36A: Magnets, Magnetic Fields, Particles
TB -
36B: Current Carrying Wires
TB -
Advanced Capacitors
TB -
Basic Capacitors
TB -
Basic DC Circuits
TB -
Exercises on Current Carrying Wires
TB -
Multiple-Battery Circuits
TB -
Systems of Bodies (including pulleys)
TB -
Textbook Set #6: Circuits with Multiple Batteries
TB -
Work, Power, Kinetic Energy
CB-ETS
Copyright © 1970-2022
All rights reserved.
Used with
permission
Mainland High School
Daytona Beach, FL 32114