(C) Given: Velocity of the conducting bar $v=5 \ m \ s^{-1}$, Magnetic field $B=0.1 \ T$.At time $t=4 \ s$, the distance of the bar from the vertex is

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(C) Given: Velocity of the conducting bar $v=5 \ m \ s^{-1}$, Magnetic field $B=0.1 \ T$.At time $t=4 \ s$, the distance of the bar from the vertex is $x = v \times t = 5 \times 4 = 20 \ m$.Since the rails form a right angle $(90^{\circ})$, the triangle formed by the rails and the bar is an isosceles right-angled triangle.The length of the bar $l$ in contact with the rails is $l = 2 \times x \tan(45^{\circ}) = 2 \times 20 \times 1 = 40 \ m$.The induced emf is given by $e = B \times v \times l$.Substituting the values: $e = 0.1 \times 5 \times 40 = 20 \ V$.

Class 12 Physics Electromagnetic Induction Motional EMI (Induced Parameter)

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Two straight conducting rails form a right angle as shown below. $A$ conducting bar in contact with the rails starts at the vertex at time $t=0$ and moves with a constant velocity of $v=5 \ m \ s^{-1}$ along them. $A$ magnetic field with $B=0.1 \ T$ is directed out of the page. The absolute value of the emf induced in the circuit at time $t=4 \ s$ will be (in $V$)?

TS EAMCET 2020 All TS EAMCET

A
$10$
B
$15$
C
$20$
D
$30$

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Motional EMI (Induced Parameter)

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$A$ $800$ turn coil of effective area $0.05\; m^{2}$ is kept perpendicular to a magnetic field $5 \times 10^{-5}\; T$. When the plane of the coil is rotated by $90^{\circ}$ around any of its coplanar axes in $0.1\; s$,the $emf$ induced in the coil will be.....$V$

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As shown in the figure, a rectangular loop of a conducting wire is moving away with a constant velocity $v$ in a perpendicular direction from a very long straight conductor carrying a steady current $I$. When the breadth of the rectangular loop is very small compared to its distance from the straight conductor, how does the emf $E$ induced in the loop vary with time $t$?

MediumWBJEE 2018

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$A$ 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

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$A$ $800$ turn coil of effective area $0.05\; m^{2}$ is kept perpendicular to a magnetic field $5 \times 10^{-5}\; T$. When the plane of the coil is rotated by $90^{\circ}$ around any of its coplanar axes in $0.1\; s$,the $emf$ induced in the coil will be.....$V$

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