5) A coil of wire consists of 20 turns, each of which has an area of 0.0015 m2. A magnetic field is perpendicular to the surface with a magnitude of B = 4.91 T/s t – 5.42 T/s2 t2. What is the magnitude of the induced emf in the coil?

Respuesta :

Answer:

1.5x10^-1 V

Explanation:

See attached file

Ver imagen hopemichael95

Answer:

The magnitude of the induced emf in the coil is 15.3 mV

Explanation:

Given;

number of turns, N = 20 turns

Area of each coil, A = 0.0015 m²

initial magnitude of magnetic field at t₁, B₁ = 4.91 T/s

final magnitude of magnetic field at t₂, B₂ = 5.42 T/s

The magnitude of the induced emf in the coil is given by;

[tex]E = -N\frac{\delta \phi}{\delta t} \\\\E =-N (\frac{\delta B}{\delta t} )A\\\\E = -NA(\frac{B_1-B_2)}{\delta t} \\\\E = NA(\frac{B_2-B_1)}{\delta t} \\\\E = 20(0.0015)(5.42-4.91)\\\\E = 0.0153 \ V\\\\E = 15.3 \ mV[/tex]

Therefore, the magnitude of the induced emf in the coil is 15.3 mV