Answer to Question #129270 in Electricity and Magnetism for Titomi

Question

A generator with a circular coil of 20 turns of area 2.0 x 10-2 m2
is immersed in
a 0.40 T magnetic field and rotated with a frequency of 50 Hz. Find (i) The Flux
linkage (ii) The EMF (iii) the maximum EMF which is produced during a cycle

Answer 1

As per the question,

Number of turns (n)=20

Area $(A) =2.0 \times 10^{-2} m^2$

Magnetic field $(B)=0.4T$

Rotational frequency $(f)=50Hz$

(i) The flux linkage $(\phi) =nBA$

Now substituting values in the above,

$\Rightarrow \phi=20\times 2.0\times 10^{-2}\times 0.4 \ \ Tm^2$

$=16.0\times 10^{-2}Tm^2$

(ii) Emf produced by the generator $e=nBA\omega$

$e=nBA\times 2\pi f$

Now, substituting the values,

$\Rightarrow e=20\times 0.4\times 2.0\times 10^{-2}\times 2\times 3.14\times 50 Tm^2 rad/sec$

$\Rightarrow e=50.24V$