4. Two semi-infinite parallel metal rails have one sides connected through a battery of constant emf ɛ and a and resistor of resistance R (Fig. 2). R A straight rod PQ of mass m and length I, is x B x F placed on and perpendicular to the rails. The setup is placed in a uniform magnetic field B pointing into the page. At time t=0, the rod begins to move from rest smoothly over the rails S to the right. Fig. 2 (a) Express the emf induced in the circuit when the rod is moving at a speed v. (b) Hence find the current I in the rod in terms of ɛ , l, B, v and R.

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Chapter1: Units, Trigonometry. And Vectors
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4. Two semi-infinite parallel metal rails have one
sides connected through a battery of constant
emf ɛ and a and resistor of resistance R (Fig. 2).
R
I
A straight rod PQ of mass m and length I, is
x B ×
F
placed on and perpendicular to the rails. The
setup is placed in a uniform magnetic field B
pointing into the page. At time t =0, the rod
Ох
begins to move from rest smoothly over the rails
S
to the right
Fig. 2
(a) Express the emf induced in the circuit when
the rod is moving at a speed v.
(b) Hence find the current I in the rod in terms of ɛ , l, B, v and R.
Transcribed Image Text:4. Two semi-infinite parallel metal rails have one sides connected through a battery of constant emf ɛ and a and resistor of resistance R (Fig. 2). R I A straight rod PQ of mass m and length I, is x B × F placed on and perpendicular to the rails. The setup is placed in a uniform magnetic field B pointing into the page. At time t =0, the rod Ох begins to move from rest smoothly over the rails S to the right Fig. 2 (a) Express the emf induced in the circuit when the rod is moving at a speed v. (b) Hence find the current I in the rod in terms of ɛ , l, B, v and R.
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