Home
Class 12
PHYSICS
A long, straight wire carries a current ...

A long, straight wire carries a current i. Let `B_1 be the magnetic field at a point P at a distance d from the wire. Consider a section of length l of this wire such that the point P lies on a perpendicular bisector of the section. Let B_2 be the magnetic field at this point due to this section only. Find the value of d/l so that B_2 differs from B_1 by 1 %.

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio \( \frac{d}{l} \) such that the magnetic field \( B_2 \) at point \( P \) due to a section of length \( l \) of the wire differs from the magnetic field \( B_1 \) at point \( P \) due to the entire wire by 1%. ### Step-by-Step Solution: 1. **Magnetic Field Due to a Long Straight Wire**: The magnetic field \( B_1 \) at a distance \( d \) from a long straight wire carrying a current \( I \) is given by: \[ B_1 = \frac{\mu_0 I}{2\pi d} ...
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA ENGLISH|Exercise questions for short answer|12 Videos
  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA ENGLISH|Exercise Objective 2|7 Videos
  • MAGNETIC FIELD

    HC VERMA ENGLISH|Exercise objective2|9 Videos
  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA ENGLISH|Exercise Short Answer|6 Videos

Similar Questions

Explore conceptually related problems

If a long straight wire carries a current of 40 A, then the magnitude of the field B at a point 15 cm away from the wire is

A long straight wire carries a current of 35A . What is the magnitude of the field vecB at a point 20cm from the wire?

A long, straight wire carries a current i . The magnetizing field intensity H is measured at a point P close to the wire. A long, cylindrical iron rod is brought close to the wire so that the point P is at the centre of the rod. The value of H at P will

Magnetic field at a distance a from long current carrying wire is proportional to

A wire of infinite length bent as shown in figure carries current l. What is the magnetic field at the point P ?

Find magnetic field at point P shown in Fig. point P is on the bisector of angle between the wires.

Determine the magnetic field at point P located a distance x from the corner of an infinitely long 2. Wire bent at right angle as shown in figure. The wire carries a steady current i.

Find the magnetic field at the point P in figure. The curved portion is a semicircle and the straight wires are long.

A long conducting wire carrying a current I is bent at 120^(@) ( see figure). The magnetic field B at a point P on the right bisector of bending angle at a distance d from the bend is (mu_(0) is the permeability of free space)

Find the direction of magnetic field at a point P due to two infinite current carrying wires shown in the figure below

HC VERMA ENGLISH-MAGNETIC FIELD DUE TO CURRENT-exercise
  1. Consider a straight piece of length x of a wire carrying a current i. ...

    Text Solution

    |

  2. Consider a 10-cm long piece of a wire which carries a current of 10A ....

    Text Solution

    |

  3. A long, straight wire carries a current i. Let B1 be the magnetic fiel...

    Text Solution

    |

  4. Figure shows a square loop ABCD with edge length a. The resistance of ...

    Text Solution

    |

  5. Figure shows a square loop of edge a made of a uniform wire. A current...

    Text Solution

    |

  6. The wire ABC shown in figure forms an equilateral triangle. Find the m...

    Text Solution

    |

  7. A wire of length l is bent in the form of an equilateral triangle and ...

    Text Solution

    |

  8. A long wire carrying a current i is bent to form a plane angle alpha. ...

    Text Solution

    |

  9. Find the magnetic field B at the centre of a rectangular loop of lengt...

    Text Solution

    |

  10. A regular polygon of n sides is formed by bending a wire of total leng...

    Text Solution

    |

  11. Each of the batteries shown in figure has an emf equal to 5 V. Show th...

    Text Solution

    |

  12. A straight , long wire carries a current a current of 20A. Another wir...

    Text Solution

    |

  13. Three coplanar parallel wires, each carrying a current of 10 A along t...

    Text Solution

    |

  14. Two parallel wires separated by a distance of 10cm carry currents of 1...

    Text Solution

    |

  15. Figure shows a part of an electric circuit. The wires AB, CD, and EF a...

    Text Solution

    |

  16. A long, straight wire is fixed horizontally and carries a current of 5...

    Text Solution

    |

  17. A square loop PQRS carrying a current of 6.0 A is placed near a long w...

    Text Solution

    |

  18. A circular loop of one turn carries a current of 5.00 A. If the magnet...

    Text Solution

    |

  19. A current - carrying circular coil of 100 turns and radius 5.0 cm pro...

    Text Solution

    |

  20. An electron makes (3 xx 10^5) revolutions per second in a circle of ra...

    Text Solution

    |