Consider the situation shown in the figure. T | vedclass

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

Question

(A) The wire $PQ$ moves with a constant velocity $v = 5 \, cm/s = 0.05 \, m/s$ in a uniform magnetic field $B = 1.0 \, T$.When the switch $S$ is conne

Vedclass · Accepted Answer

$0.1$

Vedclass · Answer

(A) The wire $PQ$ moves with a constant velocity $v = 5 \, cm/s = 0.05 \, m/s$ in a uniform magnetic field $B = 1.0 \, T$.When the switch $S$ is connected to the middle rail, the circuit is completed through the top rail and the middle rail.The length of the wire $PQ$ between the top rail and the middle rail is $\ell = 2 \, cm = 0.02 \, m$.The induced electromotive force (emf) in this segment is given by $\varepsilon = B v \ell$.Substituting the values: $\varepsilon = 1.0 	imes 0.05 	imes 0.02 = 0.001 \, V = 1 \, mV$.The current $I$ in the $10 \, \Omega$ resistor is $I = \frac{\varepsilon}{R} = \frac{1 	imes 10^{-3} \, V}{10 \, \Omega} = 10^{-4} \, A = 0.1 \, mA$.

Consider the situation shown in the figure. The wire $PQ$ has a negligible resistance and is made to slide on the three rails with a constant speed of $5 \, cm/s$. Find the current in the $10 \, \Omega$ resistor when the switch $S$ is connected to the middle rail. (Given: $B = 1.0 \, T$) (in $mA$)

Similar Questions

$A$ horizontal wire of mass $m$,length $l$,and resistance $R$ is sliding on vertical rails in a uniform magnetic field $B$ directed perpendicularly. The terminal speed of the wire as it falls under the force of gravity is ($g =$ acceleration due to gravity).

When a metal rod of length $l$ is placed in a magnetic field $B$ and moved with velocity $v$ perpendicular to the field,then the induced emf across its ends is

$A$ straight conductor of length $0.6 \, m$ is moved with a speed of $10 \, ms^{-1}$ perpendicular to a magnetic field of induction $1.2 \, Wb \cdot m^{-2}$. The induced e.m.f. across the conductor is (in $V$)

Two $U$-shaped tubes are moving inside each other as shown in the figure. If the length of each tube is $l$ and they move with velocity $v$ in a magnetic field $B$,what is the induced $emf$ in the circuit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module