Question

A square coil, enclosing an area with sides 3.2 cm long, is wrapped with 2,720 turns of wire. A uniform magnetic field perpendicular to its plane is turned on and increases to 0.45 T during an interval of 1.7 s. What average voltage (in V) is induced in the coil? Express the answer with two decimal places.

Answer 1

`\epsilon = -0.74\ V`

Step-by-step explanation:

given,

Side of square coil = 3.2 cm

Number of turns = 2720

magnetic field in the coil increases to = 0.45 T

time interval = 1.7 s

average induced voltage in the coil = ?

length = 0.032 m

Area = 0.032² = 0.001024 m²

induced voltage

`\epsilon = -NA (dB)/(dt)`

`\epsilon = -2720 * 0.001024 * (0.45)/(1.7)`

`\epsilon = -0.74\ V`

The average voltage induced in the coil is equal to
`\epsilon = -0.74\ V`