There are two metal verticalrails connected to a capacitor of capacitance 10 mF as shown in figure. Magnetic field strength of 1 T is applied perpendicular to theplaneofrails. Separation between the rails is 10 cm. Ratio of current flowing through the loop and acceleration of the rod is found to be n x 10^(-3) in MKS system. Find the value of n.

There are two metal verticalrails connected to a capacitor of capacita

1.	There are two metal verticalrails connected to a capacitor of capacitance 10 mF as shown in figure. Magnetic field strength of 1 T is applied perpendicular to theplaneofrails. Separation between the rails is 10 cm. Ratio of current flowing through the loop and acceleration of the rod is found to be n x 10^(-3) in MKS system. Find the value of n.
Answer» Solution : Motional emf developed across the LENGTH of the rod is BVL, when rod moves with velocity v. Let q be the instantaneous charge on capacitor. q= CBvl `I= dq//dt` `I= "CBL"(dv//dt)` I= CBla `(I)/(a)= CBl` `(I)/(a)= 10 xx 10^(-3) xx 1 xx 0.1 = 1 xx 10^(-3)` Hence value of n = 1.

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