A magnetic B field of strength 0.9 T is perpendicular to a loop with an area of 3 m2. If the area of the loop is reduced to zero in 0.5 s, then what is the magnitude of the induced emf voltage?

Respuesta :

Answer:

The magnitude of induced emf is 5.4 V

Explanation:

Given:

Magnetic field [tex]B = 0.9[/tex] T

Area of loop [tex]\Delta A = 3[/tex] [tex]m^{2}[/tex]

Time take to reduce loop to zero [tex]\Delta t = 0.5[/tex] sec

To find induced emf we use faraday's law,

Induced emf is given by,

  [tex]\epsilon = -\frac{\Delta \phi}{\Delta t}[/tex]

Here minus sign shows lenz law, for finding magnitude of emf  we ignore it.

Where [tex]\phi = B\Delta A[/tex]

Put the value of flux and find induced emf,

   [tex]\epsilon = \frac{B\Delta A}{\Delta t}[/tex]

   [tex]\epsilon = \frac{0.9 \times 3}{0.5}[/tex]

   [tex]\epsilon = 5.4[/tex] V

Therefore, the magnitude of induced emf is 5.4 V