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

(B) The motional electromotive force $(EMF)$ induced in a conductor moving in a magnetic field is given by $\varepsilon = \int (\vec{v} 	imes \vec{B}

Vedclass · Accepted Answer

Remain the same

Vedclass · Answer

(B) The motional electromotive force $(EMF)$ induced in a conductor moving in a magnetic field is given by $\varepsilon = \int (\vec{v} 	imes \vec{B}) \cdot d\vec{l}$.For a conductor moving with constant velocity $\vec{v}$ in a uniform magnetic field $\vec{B}$,this simplifies to $\varepsilon = \vec{v} 	imes \vec{B} \cdot \vec{L}_{eff}$,where $\vec{L}_{eff}$ is the effective length vector connecting the two ends of the conductor.In both cases (straight wire $AB$ and a semicircular wire connecting points $A$ and $B$),the effective length vector $\vec{L}_{eff}$ is the same,as it is the straight-line distance between the points of contact on the rails.Since the velocity $V$,magnetic field $B$,and effective length $L_{eff}$ remain unchanged,the induced $EMF$ $\varepsilon = B V L_{eff}$ remains the same.Consequently,the induced current $I = \varepsilon / R$ also remains the same.

Consider the situation shown in the figure. The wire $AB$ is sliding on the fixed rails with a constant velocity $V$. If the wire $AB$ is replaced by a semicircular wire of the same end-to-end distance,the magnitude of the induced current will:

Similar Questions

If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-6x^2+11x-6=0$ and if $a=\alpha^2+\beta^2+\gamma^2$,$b=\alpha\beta+\beta\gamma+\gamma\alpha$ and $c=(\alpha+\beta)(\beta+\gamma)(\gamma+\alpha)$,then the correct inequality among the following is

The orbital angular momentum of a $3p$ electron is

$A$ proton, a deuteron (nucleus of ${ }_1 H^2$) and an $\alpha$-particle with the same kinetic energy enter a region of uniform magnetic field moving at right angles to the field. The ratio of the radii of their circular paths is:

Natural gas is a mixture of .........?

If the lines $4x + 3y - 1 = 0$,$x - y + 5 = 0$,and $kx + 5y - 3 = 0$ are concurrent,then $k$ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module