Question

In an electromagnetic induction experiment, you are keeping a conducting circular loop of 50 cm radius placed perpendicular to a magnetic field of 5 T and magnetic field changed from maximum to zero within 0.50 s. Is law of electromagnetic induction applied here? Justify your answer. How can you evaluate the magnitude of induced emf in the coil? When the circular coil having a diameter of 20 cm is used in above case, evaluate the induced emf? Compare your results and select which provides more induced emf? If earth’s magnetic field is used here what will be the change? Justify your answer

Answer #1

**As per law of
electromagnetic induction Whenever a conductor is placed in a
varying magnetic field, EMF induces and this emf is called an
induced emf.**

**As there is change in
magnetic field through the coil, flux will change and this will
induce emf.**

**E = - Nd
/ dt**

**E = - Nd ( BA) /
dt**

**E = - NA dB /
dt**

**E = - 1 *
* 0.5 ^{2} * ( 0 - 5) / 0.50**

**E = 7.853 V**

**_______________**

**Now, when diameter is 20 cm
means radius is 10 cm**

**then**

**E = - 1 *
* 0.1 ^{2} * ( 0 - 5) / 0.50**

**E = 0.314 V**

**as we notice, the induce emf
has reduced too much, this means lesser the area, lesser magnetic
field lines can pass through it**

**Therefore,**

**more EMF is induced when
radius was 50 cm**

**_____________________**

**If we use earth's magnetic
field ( 50 uT) , then EMF will be reduced drastically**

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