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

Answer

$\epsilon = -0.74\ V$

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                  

$\epsilon = -NA \dfrac{dB}{dt}$

$\epsilon = -2720 \times 0.001024 \times \dfrac{0.45}{1.7}$

$\epsilon = -0.74\ V$                          

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