A flat square coil of wire with 15 turns and an area of 0.40 m2 is placed with the plane of its area parallel to a magnetic field of 0.75 T. The coil is flipped so its plane is perpendicular to the magnetic field in a time of 0.050 s. What is the magnitude of the average induced emf in the coil?

Respuesta :

Answer:

90 V

Explanation:

Parameters given:

Number of turns, N = 15 turns

Area of coil, A = [tex]0.4 m^2[/tex]

Magnetic field, B = 0.75 T

Time taken, t = 0.05 s

The average induced EMF in a coil due to the presence of a magnetic field is given as:

V = [tex]\frac{-NBA}{t}[/tex]

[tex]V = \frac{-15 * 0.75 * 0.4}{0.05}\\ \\\\V = -90 V[/tex]

The magnitude of the average induced EMF will be:

[tex]|V| = |-90| V = 90 V[/tex]

The magnitude of the average induced emf in the coil is 90V.

Calculation of the magnitude:

Here magnitude should be either distance or quantity. It represents  the direction or size where an object should moves in the sense of motion

Since

Number of turns, N = 15 turns

Area of the coil, A = 0.4m^2

Magnetic field, B = 0.75 T

Time taken, t = 0.05 s

Now the magnitude is

= -NBA /t

= -15*0.75*0.4/0.05

= -90V

= 90V

Therefore, we can conclude that The magnitude of the average induced emf in the coil is 90V.

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