Ask Question
19 June, 01:21

A current loop, carrying a current of 5.6 A, is in the shape of a right triangle with sides 30, 40, and 50 cm. The loop is in a uniform magnetic field of magnitude 110 mT whose direction is parallel to the current in the 50 cm side of the loop. Find the magnitude of (a) the magnetic dipole moment of the loop in amperes-square meters and (b) the torque on the loop.

+2
Answers (2)
  1. 19 June, 01:51
    0
    Answer:0.0336Am^2; 0.037Nm

    Explanation:

    Parameters:

    Base of triangle (b) = 30cm = 0.3m

    Height of triangle (h) = 40cm = 0.4m

    Magnetic field magnitude (B) = 110mT = 0.11T

    Current (I) = 5.6A

    Magnetic dipole moment = current * Area

    Area of triangle = 0.5*b*h

    Area of triangle = 0.5*0.3*0.4 = 0.06m^2.

    1.) Magnetic dipole moment = 5.6 * 0.06 = 0.336 Am^2

    2.) Torque (T) = Magnetic dipole moment * B

    T = 0.336 * 0.11 = 0.0369 = 0.037Nm
  2. 19 June, 02:54
    0
    a) μ = 0.336 A. m²

    b) T = 0.037 N. m

    Explanation:

    Given:

    The current loop is carrying a current of 5,6 A in the shape of a right triangle with sides 30, 40 and 50 cm. From the sides of the triangle we can deduce that hypotenuse which is of a larger value is 50 cm while the 30 cm and 40 cm are for the base and height. The loop has an uniform magnetic field of magnitude 110 mT whose direction is parallel to the current in the 50 cm side of the loop.

    (a) the magnetic dipole moment of the loop in amperes-square meters

    Given:

    Base (b) and height (H) = 30 cm and 40 cm = 0.3 m and 0.4 m

    I = 5.6 A

    Area of the triangle (A) = 1/2 (b * h)

    A = 1/2 (b * h) = 1/2 (0.3 * 0.4) = 0.06 m²

    Dipole moment (μ) = IA

    μ = IA = 5.6 * 0.06 = 0.336 A. m²

    μ = 0.336 A. m²

    b) The torque on the loop.

    Torque (T) = μB

    B = 110 mT = 110 * 10⁻³ T

    T = μB = 110 * 10⁻³ * 0.336 = 0.037 N. m

    T = 0.037 N. m
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A current loop, carrying a current of 5.6 A, is in the shape of a right triangle with sides 30, 40, and 50 cm. The loop is in a uniform ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers