Question

A 800 turn coil of effective area 0.05 m2 is kept
perpendicular to a magnetic field 5 x 10-5 T. When
the plane of the coil is rotated by 90° around any
of its coplanar axis in 0.1 s, the emf induced in the
coil will be​

Answer 1

Given:

A 800 turn coil of effective area 0.05 m² is kept

perpendicular to a magnetic field 5 x 10-5 T. The plane of the coil is rotated by 90° in 0.1 s.

To find:

EMF induced in coil.

Calculation:

According to Faraday's Law of Electromagnetic Induction , the EMF induced in a coil is equal to the rate of change of magnetic flux.

Change in magnetic flux:

$\therefore \: \Delta \phi = n(BA) - 0$

$= > \: \Delta \phi = 800 \times (5 \times {10}^{ - 5} \times 0.05) - 0$

$= > \: \Delta \phi = 2 \times {10}^{ - 3}$

Time taken = 0.1 seconds.

Let EMF be denoted as E:

$\therefore \: E = \: \dfrac{\Delta \phi }{t}$

$= > \: E = \: \dfrac{2 \times {10}^{ - 3} }{0.1}$

$= > \: E = \: \dfrac{2 \times {10}^{ - 3} }{ {10}^{ - 1} }$

$= > \: E = \: 20 \times {10}^{ - 3} \: volt$

$= > \: E = \: 20 \: mV$

So , final answer is :

$\boxed{ \bold{ \large{ \: E = \: 20 \: mV }}}$

Answer 2

Explanation:

Given A 800 turn coil of effective area 0.05 m2 is kept perpendicular to a magnetic field 5 x 10-5 T. When  the plane of the coil is rotated by 90° around any  of its coplanar axis in 0.1 s, the emf induced in the  coil will be

• Total turns N = 800
• Area = 0.05 m^2 = 5 x 10^-2 m^2
• Magnetic field strength B = 5 x 10^-5 T
• Time Δt = 0.1 s
• We need to find emf induced in the coil.
• So induced emf = - Δφ / Δt
• So Δφ = φ final – φ initial
• So φ final = 0 and φ initial = N (B.A)
•                                           = 800 x (5 x 10^-5 x 5 x 10^-2)
•                                           = 800 x 25 x 10^-7
•                                          = 20000 x 10^-7
•                                         = 2 x 10^-3
• So emf induced = - Δφ / Δt
•                          = - (0 – 2 x 10^-3) / 0.1  
•                          = 2 x 10^-3 / 0.1
•                         = 0.02 V
• So induced emf in the coil will be 0.02 V

Reference link will be

https://brainly.in/question/7875338