Home
Class 12
PHYSICS
Using the formulae ((vecF)=(vec qv)xx (v...

Using the formulae (`(vecF)=(vec qv)xx (vec B) and (B= (mu_0)i/2pi r )`, show that the SI units of the magnetic field B and the permeability constant `(mu_0)` may be written as `(N mA ^-1)` and `(NA^-2)` respectively.

Text Solution

Verified by Experts

Given `vecF = a vecv xx vecB`
`.That gives `B = (F)/(qu)+(F)/(Itu) =N/A - m`
`. Again, `B = (mu_0i)/(2pir)`
` `mu_0 = B. (2pir)/(i) = (N)/(A-m). (m)/(A)`
` `= N/A^2`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA|Exercise Objective 2|7 Videos

  • MAGNETIC FIELD

    HC VERMA|Exercise Exercises|61 Videos

  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA|Exercise Exercises|9 Videos

Similar Questions

Explore conceptually related problems

The dimension of (B^2)/( 2mu_0) , where B is magnetic field and mu_0 is the magnetic permeability of vacuum is

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively. While [ in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [L] and [T] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [in_(0)] " and " [mu_(0)] is :-

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively. While [ in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [L] and [T] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [E] adn [B] is :-

Let vec(A), vec(B) and vec(C) , be unit vectors. Suppose that vec(A).vec(B)=vec(A).vec(C)=0 and the angle between vec(B) and vec(C) is pi/6 then

If vec(A) = (2,-3,1) and vec(B) = (3,4,n) are mutually perpendicular then find the value of n .

For a circular coil of radius R and N turns carrying current. Prove that the magnitude of the magnetic field at a point on its axis at a distance X from its centre is given by B=(mu_0IR^2N)/(2(x^2+R^2)^(3//2))

Magnetic field and magnetic intensity are 1 T and 150 "Am"^(-1) respectively in a iron core, then its relative permeability is ....... (Take mu_(0) = 4pi xx 10^(-7) mu m^(-1) )

|vec(a)|=3,|vec(b)=(sqrt(2))/(3) . If vec(a)xx vec(b) is a unit vector then find the angle between vec(a) and vec(b) .

HC VERMA-MAGNETIC FIELD DUE TO CURRENT-Exercises
  1. Using the formulae ((vecF)=(vec qv)xx (vec B) and (B= (mu0)i/2pi r ), ...

    Text Solution

    |

  2. A current of 10A is established in a long wire along the positive z-ax...

    Text Solution

    |

  3. A copper wire of diameter 1.6 mm carries a current of 20A. Find the ma...

    Text Solution

    |

  4. A transmission wire carries a current of 100A. What would be the magne...

    Text Solution

    |

  5. A long, straight wire carrying a current of 1.0 A is placed horizontal...

    Text Solution

    |

  6. A long, straight wire of radius r carries a current i and is placed ho...

    Text Solution

    |

  7. A long, straight wire carrying a current of 30 A is placed in an exter...

    Text Solution

    |

  8. A long vertical wire carrying a current of 10A in the upward direction...

    Text Solution

    |

  9. Figure shows two parallel wires separated by a distance of 4.0 cm and ...

    Text Solution

    |

  10. Two parallel wires carry equal currents of 10A along the same directio...

    Text Solution

    |

  11. Two long, straight wires, each carrying a current of 5A, are placed al...

    Text Solution

    |

  12. Four long, straight wires, each carrying a current of 5.0 A, are place...

    Text Solution

    |

  13. Figure shows a long wire bent at the middle to form a right angle. Sho...

    Text Solution

    |

  14. Consider a straight piece of length x of a wire carrying a current i. ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Consider the situation described in the previous problem. Suppose the ...

    Text Solution

    |

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

    Text Solution

    |