A rectangular loop PQRS is being pulled with a constant speed int… - Vidyadip

MCQ

A rectangular loop $PQRS$ is being pulled with a constant speed into a uniform transverse magnetic field by a force $F$ (as shown). $E.m.f.$ induced in side $PS$ and potential difference between points $P$ and $S$ respectively are (Resistance of the loop $= r$)

A
Zero, $\frac{{Fr}}{{Bl}}$
B
Zero, Zero
✓
Zero, $\frac{{Fr}}{{Bl}}$
D
$\frac{{Fr}}{{6Bl}}$,$\frac{{Fr}}{{6Bl}}$

✓

Answer

Correct option: C.

Zero, $\frac{{Fr}}{{Bl}}$

c
$Emf$ induced $=B \ell v=0 \quad\left\{B_{P S}=0\right\}$

${{\rm{V}}_{{\rm{PS}}}} = {\rm{ir}} = \frac{{{\rm{B}}\ell {\rm{v}}}}{{\rm{r}}} \cdot \frac{{\rm{r}}}{6} = \frac{{{\rm{Fr}}}}{{6{\rm{B}}\ell }}\left\{ {{\rm{v}} = \frac{{{\rm{Fr}}}}{{{{\rm{B}}^2}{\ell ^2}}}} \right\}$

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