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  • Five parallel infinite wires are placed at the vertices of a regular pentagon. Four wires carry current Io each while the fifth wise carries current <img alt="3 \dot{

Five parallel infinite wires are placed at the vertices of a regular pentagon. Four wires carry current Io each while the fifth wise carries current 3 \dot{I}_0 as shown. The resultant magnetic field at the centre O is

 

Option: 1

zero


Option: 2

\frac{\mu_0 2I_0}{2 \pi a}


Option: 3

\frac{\mu_0 I_0}{\pi a}


Option: 4

\infty


Answers (1)

best_answer

By superposition, magnetic field at the centre is only due to wire having current 3I_0, but effective current is only 2I_0.

\therefore|\vec{B}|=\frac{\mu_0 2 I_0}{2 \pi a}=\frac{\mu_0 I_0}{\pi a}

Posted by

avinash.dongre

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