A square coil, enclosing an area with sides 3.5 cm long, is wrapped with 2,526 turns of wire. A uniform magnetic field perpendicular to its

Question

A square coil, enclosing an area with sides 3.5 cm long, is wrapped with 2,526 turns of wire. A uniform magnetic field perpendicular to its plane is turned on and increases to 0.27 T during an interval of 1.9 s. What average voltage (in V) is induced in the coil? Express the answer with two decimal places.

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Kim Chi 7 months 2021-07-20T21:28:19+00:00 1 Answers 2 views 0

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    2021-07-20T21:29:41+00:00

    Answer:

    -0.44 N

    Explanation:

    Applying,

    E = -(BANsinФ)/t…………………… Equation 1

    Where E = E.m.f induced in the coil, B = magnetic field A = Area of the coil, N = Number of turns, Ф = angle between the field an  the plane, dt = change in time.

    Given: N = 2526 turns, B = 0.27 T, t = 1.9 s, Ф = 90° (perpendicular)

    A = Area of a square = L² = 0.035² = 1.225×10⁻³ m²

    Substitute into equation 1

    E = -0.27(2526)(1.225×10⁻³)(sin90°)/1.9

    E = -0.44 N

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