One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it vibrates in resonance in its simplest standing-wave vibration state. Determine the relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
Medium
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$\mathrm{n}_{0}=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{T}}{\mu}}$
$4 \mathrm{d}^{2} \mu \mathrm{n}_{0}=\mathrm{T}$
frequency of oscillation is same as that of
$A.C.$
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