One insulated conductor from a household extension cord has a mass per unit length of $\mu$. $A$ 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.
- A$T=4\mu f^2d^2$
- B$T=2\mu f^2d^2$
- C$T=\frac{\mu f^2d^2}{2}$
- D$T=\frac{\mu f^2d^2}{4}$
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