A conducting rod AC of length 4l is rotated a | vedclass

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

Question

(B) The motional electromotive force $(EMF)$ induced in a rod of length $r$ rotating with angular velocity $\omega$ in a uniform magnetic field $B$ is

Vedclass · Accepted Answer

${V_O} - {V_C} = \frac{9}{2}B\omega {l^2}$

Vedclass · Answer

(B) The motional electromotive force $(EMF)$ induced in a rod of length $r$ rotating with angular velocity $\omega$ in a uniform magnetic field $B$ is given by $e = \frac{1}{2} B \omega r^2$.For the segment $AO$ of length $l$:The potential difference is $V_O - V_A = \frac{1}{2} B \omega l^2$.Thus,$V_A - V_O = -\frac{1}{2} B \omega l^2$.For the segment $OC$ of length $3l$:The potential difference is $V_O - V_C = \frac{1}{2} B \omega (3l)^2 = \frac{9}{2} B \omega l^2$.Comparing this with the given options,option $B$ is correct: ${V_O} - {V_C} = \frac{9}{2}B\omega {l^2}$.

$A$ conducting rod $AC$ of length $4l$ is rotated about a point $O$ in a uniform magnetic field $\vec B$ directed into the paper. $AO = l$ and $OC = 3l$. Then:

Similar Questions

$A$ 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:

$A$ conducting rod $PQ$ of length $L = 1.0\, m$ is moving with 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:

$A$ wire loop is rotated in a magnetic field. The frequency of change of direction of the induced $e.m.f.$ is

$A$ copper rod $AB$ of length $L$,pivoted at one end $A$,rotates at a constant angular velocity $\omega$,at right angles to a uniform magnetic field of induction $B$. The e.m.f. developed between the midpoint $C$ of the rod and end $B$ is

$A$ metal rod of length $2 \, m$ is rotating with an angular velocity of $100 \, rad/s$ in a plane perpendicular to a uniform magnetic field of $0.3 \, T$. The potential difference between the ends of the rod is.......$V$

Vedclass Test Series

Exam Paper Generator

Online Exam Module