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.

Question

Jordyn Ewing

Physics

22 June, 11:39

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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Answers (1)

Know the Answer?

Clara Welch · Answer 1

-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