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  • A uniform conducting wire of length 12a and resiatance 'R' is wound up as a current carrying coil in the shape of  (i) an equilateral triangle of side 'a' (

A uniform conducting wire of length 12a and resiatance 'R' is wound up as a current carrying coil in the shape of 

(i) an equilateral triangle of side 'a'

(ii) a square of side 'a'

the magnetic dipole moments of the coil in each case respectively are

Option: 1

\sqrt{3}Ia^{2} and 3Ia^{2}


Option: 2

3Ia^{2} and Ia^{2}


Option: 3

3Ia^{2} and 4Ia^{2}


Option: 4

4Ia^{2} and 3Ia^{2}


Answers (1)

best_answer

Length=12a

                   

M_{1}=n_{1}IA_{1}                                            M_{2}=n_{2}IA_{2}

        4\times I\left ( \frac{1}{2}\times a\times \frac{\sqrt{3}}{2}a \right )                         =3I\left ( a^{2} \right )   

M_{1}=\sqrt{3}Ia^{2}                                            M_{2}=3Ia^{2}    

Posted by

Kuldeep Maurya

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