Practice: A solid, cylindrical conductor carries a uniform current density, J. If the radius of the cylindrical conductor is R, what is the magnetic field at a distance š from the center of the conductor when r < R? What about when r > R?

Subjects

Sections | |||
---|---|---|---|

Magnetic Field Produced by Moving Charges | 11 mins | 0 completed | Learn |

Magnetic Field Produced by Straight Currents | 29 mins | 0 completed | Learn Summary |

Magnetic Force Between Parallel Currents | 13 mins | 0 completed | Learn |

Magnetic Force Between Two Moving Charges | 9 mins | 0 completed | Learn |

Magnetic Field Produced by Loops andĀ Solenoids | 43 mins | 0 completed | Learn Summary |

Toroidal Solenoids aka Toroids | 12 mins | 0 completed | Learn |

Biot-Savart Law with Calculus | 16 mins | 0 completed | Learn |

Ampere's Law with Calculus | 17 mins | 0 completed | Learn |

Additional Practice |
---|

Ampere's Law |

Practice: A solid, cylindrical conductor carries a uniform current density, J. If the radius of the cylindrical conductor is R, what is the magnetic field at a distance š from the center of the conductor when r < R? What about when r > R?

0 of 3 completed

Concept #1: Ampere's Law with Calculus

Example #1: Magnetic Field Inside a Solenoid

Practice #1: Magnetic Field Inside Solid Cylindrical Conductor

A hollow cylindrical conductor (inner radius = a, outer radius = b) carries a current I uniformlyĀ spread over its cross section. Which graph below correctly gives the magnetic fieldĀ as a function of theĀ distance r from the center of theĀ cylinder?

Consider N parallel wires, each carrying a current i. If an Amperian loop was chosen that enclosed some of the wires, which of the following statements is true:
(a) The line integralĀ ā« Bdl would be independent of the number of wires enclosed
(b) The lineĀ integralĀ ā« Bdl would be independent of the radius of the Amperian loop (for a given number of wires enclosed)
(c) Halving the number of wires enclosed would reduce the lineĀ integralĀ ā« Bdl by 1/4
(d) The lineĀ integralĀ ā« Bdl is independent of the current in each wire i, only depending on the number of wires enclosed

Consider the toroid shown in the figure (inner radius 5cm, outer radius 10cm). What is the magnitude of the magnetic field inside a toroid of 1200 turns carrying a current 0.8 A at a distance 7cm from the center of the toroid? (Hint: Use Ampere's Law applied to a closed loop in the toroid mid-plane, as shown by a dash line)
A) 2.74 mT
B) 1.67 mT
C) 3.33 mT
D) 4.92 mT
E) 0.83 mT

Enter your friends' email addresses to invite them:

We invited your friends!

Join **thousands** of students and gain free access to **55 hours** of Physics videos that follow the topics **your textbook** covers.