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.

Answer 1

-0.44 N

Step-by-step 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