Physics

A piece of copper wire has a resistance per unit length of 5.50 x 10^-3 Ω/m. The wire is wound into a thin, flat coil of many turns that has a radius of 0.200 m. The ends of the wire are connected to a 12.0-V battery. Find the magnetic field strength at the center of the coil.

  1. 👍 0
  2. 👎 0
  3. 👁 439
  1. Magnetic field at the center of a circular current-carrying loop of N turns and radius r is
    B=Nμ₀I/2r….. (1)
    N=L/2πr ….(2)
    I=U/R=U/R₀L ….(3)
    Substitution (2) and (3) in (1) gives
    B=Nμ₀I/2r = (L/2πr) •(μ₀/2r) •(U/R₀L) = μ₀U/4πr²R₀=
    =4π•10⁻⁷•12/ 4π •(0.2)² •5.5•10⁻³ =5.45•10⁻³ T

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Consider two copper wires with the same cross-sectional area. Wire A is twice as long as wire B. How do the resistivities and resistances of the two wires compare? CHECK ALL THAT APPLY Wire A and wire B have the same resistance.

  2. probability

    A factory produces copper wires. A blue mark is placed on a very long length of copper. The wire is then cut into pieces. The lengths of different pieces are independent, and the length of each piece is distributed according to

  3. Math

    A copper solid cylinder of radius 14cm and height 10cm is melted and recast into cylindrical wire of diameter 4mm.find the length of the copper wire

  4. physics

    A copper wire has a resistance of 0.425 at 20.0°C, and an iron wire has a resistance of 0.455 at the same temperature. At what temperature are their resistances equal?

  1. Math

    Problem: What is the resistance of a 3.9-m length of copper wire 1.1 mm in diameter? The resistivity of copper is 1.68×10^−8Ω⋅m. Answer--> R=______Ω

  2. Physics

    Two wires with the same resistance have the same diameter but different lengths. If wire 1 has length L1 and wire 2 has length L2, how do L1 and L2 compare if wire 1 is made from copper and wire 2 is made from aluminum? The

  3. Physics

    Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.835. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10-8 Ω·m, and that of

  4. physics

    A wire of initial length L0 and radius r0 has a measured resistance of 2.5 . The wire is drawn under tensile stress to a new uniform radius of r = 0.45r0. What is the new resistance of the wire?

  1. Physics!! Help!!!!!

    A wire of length L and cross-sectional area A has resistance R. What will be the resistance R_stretched of the wire if it is stretched to twice its original length? Assume that the density and resistivity of the material do not

  2. physics - please check my answer?

    Consider a block of copper that is a rectangular prism (a box) with sides 15 cm by 20 cm by 50 cm. The resistivity of copper is 1.68e-8. If you consider the resistances between the three sets of parallel faces, which has the

  3. physics

    The resistance of a coil copper wire at 20 degree celsius is 2.21 ohms. After a current of 10 amperes has been flowing in wire for two hours, the resistance of the coil was found o be 2.59 ohms. What is the temperature rise?

  4. Calculus

    A 100 inch piece of wire is cut into two pieces. Each piece of wire is used to make a square wire frame. Let x be the length of one piece of the wire. Determine an algebraic representation A(x) for the total area of the two

You can view more similar questions or ask a new question.