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5. Magnetic forces on current

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1 5. Magnetic forces on current
l Example: A straight wire carrying a current is placed in a region containing a magnetic field. The current flows in the +x direction. There are no magnetic forces acting on the wire. What is the direction of the magnetic field?

2 Example: A horizontal wire carries a current and is in a vertical magnetic field. What is the direction of the force on the wire? B I 1) left 2) right 3) zero 4) into the page 5) out of the page Example: A vertical wire carries a current and is in a vertical magnetic field. What is the direction of the force on the wire? B I 1) left 2) right 3) zero 4) into the page 5) out of the page

3 z B y x 6. Current loop in magnetic field
Example: A rectangular current loop is in a uniform magnetic field. What is the direction of the net force on the loop? B x z y 1) + x 2) + y 3) zero 4) - x 5) - y Using the right-hand rule, we find that each of the four wire segments will experience a force outwards from the center of the loop. Thus, the forces of the opposing segments cancel, so the net force is zero.

4 Wire and Loop with Electric Current in Magnetic Field
Battery Axis of rotation Magnetic field Loop The loop will rotate (clockwise)

5 Example: If there is a current in the loop in the direction shown, the loop will:
1) move up 2) move down 3) rotate clockwise 4) rotate counterclockwise 5) both rotate and move F N S N S B F B field out of North B field into South At the North Pole, the magnetic field points to the right and the current points out of the page. The right-hand rule says that the force must point up. At the south pole, the same logic leads to a downward force. Thus the loop rotates clockwise.

6 a b 6a. Current loop and magnetic moment b
N – number of loops in the coil M - magnetic dipole moment b

7 Example: A current-caring circular coil is in uniform magnetic field
Example: A current-caring circular coil is in uniform magnetic field. The maximum magnitude of the torque on the coil occurs when the angle between the field and magnetic moment is 45° 90° 135° 180°

8 Example: A coil is oriented initially with its magnetic dipole moment
antiparallel to a uniform magnetic field. In this orientation torque  is equal to: A)  = 0 B)  = max C) 0<  < max Example:


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