A metal wire PQ slides on parallel metallic r | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The induced electromotive force $(e.m.f.)$ in the moving wire is given by $\varepsilon = B \ell v$,where $B = 0.5 \ T$,$\ell = 0.25 \ m$,and $v$ i

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(B) The induced electromotive force $(e.m.f.)$ in the moving wire is given by $\varepsilon = B \ell v$,where $B = 0.5 \ T$,$\ell = 0.25 \ m$,and $v$ is the speed.So,$\varepsilon = 0.5 	imes 0.25 	imes v = 0.125v \ V$.The net current $I$ in the circuit is $I = \frac{E - \varepsilon}{R} = \frac{10 - 0.125v}{2} \ A$.The magnetic force acting on the wire is $F_m = B I \ell = 0.5 	imes I 	imes 0.25 = 0.125I \ N$.Since the wire moves at a constant speed,the external force must balance the magnetic force: $F_{ext} = F_m = 0.5 \ N$.Substituting $I$ into the force equation: $0.5 = 0.125 	imes \left( \frac{10 - 0.125v}{2} ight)$.$0.5 	imes 2 = 0.125 	imes (10 - 0.125v) \implies 1 = 1.25 - 0.015625v$.$0.015625v = 0.25 \implies v = \frac{0.25}{0.015625} = 16 \ m/s$.

Similar Questions

What is the cause of the force acting on a sliding conductor placed in a magnetic field?

$A$ conducting rod $PQ$ of length $L = 1.0\, m$ is moving with a uniform speed $v = 20\, m/s$ in a uniform magnetic field $B = 4.0\, T$ directed into the paper. $A$ capacitor of capacity $C = 10\, \mu F$ is connected as shown in the figure. Then:

$A$ square loop of side $15 \ cm$ is being moved towards the right at a constant speed of $2 \ cm/s$ as shown in the figure. The front edge enters the $50 \ cm$ wide magnetic field region at $t=0$. The value of the induced emf in the loop at $t=10 \ s$ will be:

Find the current in the wire for the configuration shown in the figure. Wire $PQ$ has negligible resistance. $\vec{B}$ is the magnetic field coming out of the paper. $\theta$ is a fixed angle made by $PQ$ as it travels smoothly over two conducting parallel wires separated by a distance $d$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module