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In the figure shown there exists a uniform time varying magnetic field B = [(4 T/s) t + 0.3 T] in a cylindrical
region of radius 4 m. An equilateral triangularconducting loop is placed in the magnetic field with its
centroide on the axis of the field and its plane perpendicular to the field.

Option: 1

e.m.f. induced in any one rod is 16 V
 


Option: 2

e.m.f. induced in the complete \Delta ABC is\mathrm{48 \sqrt{3} \mathrm{~V}}
 


Option: 3

e.m.f. induced in the complete \Delta\: ABC is 48 V
 


Option: 4

e.m.f. induced in any one rod is \mathrm{48 \sqrt{3} \mathrm{~V}}


Answers (1)

best_answer

 \mathrm{e_{A B}=\left(\frac{d B}{d t}\right)} area of \mathrm{\Delta AOB} ,using (E.M.I) \mathrm{=(4) \frac{1}{2} \times\left(4 \times \frac{\sqrt{3}}{2} \times 2\right) \times 2}

total e of loop

\mathrm{\begin{aligned} & =3 \times\left(4 \times \frac{1}{2} \times 4 \times \frac{\sqrt{3}}{2} \times 2\right) \times 2 \\ & =2 \times 24 \sqrt{3}=48 \sqrt{3} \mathrm{Volt} \end{aligned}}

Posted by

Kuldeep Maurya

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