Two parallel vertical metallic rails AB ...

Two parallel vertical metallic rails AB and CD are separated by 1m. They are connected at two ends by resistanace `(R_1) and (R_2)` as shown in fig. A horizontal metallic bar L of mass 0.2 kg slides without froction vertically down the rails under the action of gravity. THere is a uniform horizontal magnetic field of 0.6 Tesla perpendicular to the plane of the rails. It is observed taht when the teminal velocity is attained, the power dissipated in `(R_1) and (R_2)` are 0.6 watt and 1.2 watt respectively. Find the terminal velocity of the bar L and the values of `(R_1)and (R_2)`.

Text Solution

Verified by Experts

The correct Answer is:

`V=1 ms^(-1), R_(1)=0.47Omega, R_(2)=0.30Omega`

At terminal velocity
`mg=IlB implies 0.2xx9.8=Ixx1xx0.6`
`I=1.96/0.6 Amp…(1)`
`Ie=(0.76+1.2)=1.96 …(2)`
from `(1)` and `(2)`
`1.96/0.6 e=1.96 implies e=0.6 `volt
`P_(1)=e^(2)/R_(1)=0.76`
`R_(1)=e^(2)/0.76=0.36/0.76=0.47 Omega`
`P_(2)=e^(2)/R_(2)=1.2 implies R_(2)=e^(2)/1.2=0.3 Omega`
`P=Fv implies 1.56=mg v`
`1.96=1.96v implies v=1 m//s`

Similar Questions

Explore conceptually related problems

Two parallel vertical metellic rails AB and CD are separated by 1m . They are connecting at two ends by resistances R_(1) and R_(2) as shown in Fig. 3.96. A horizontal metallic bar L mas 0.2 kg slides without friction vertically down the rails under the action of gravity. There is a uniform horozontal magnetic field of 0.6 T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, thwe power dissipated in R_(1) and R_(2) are 0.76 and 1.2W , respectively. Find the terminal velocity of the bar L and the values of R_(1) and R_(2) .

Two parallel vertical metallic rails AB and CD are separated by 1m . They are connected at the two ends by resistances R_1 and R_2 as shown in the figure. A horizontal metallic bar l of mass 0.2 kg slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of 0.6 T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, the powers dissipated in R_1 and R_2 are 0.76W and 1.2W respectively (g=9.8m//s^2) The terminal velocity fo the bar L will be

A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

Two parallel vertical metallic bars X X^(1) and Y Y^(1) , of negligible resistance and separated by a length 'l' , are as shown in Fig. The ends of the bars are joined by resistance R_(1) and R_(2) . A uniform magnetic field of induction B exsits in space normal to the plane of the bars. A horizontal metallic rod PQ of mass m starts falling vertically, making contact with the bars. It is oberved that in the steady state the powers dissipated in the resistance R_(1) and R_(2) and the terminal velocity attained by the rod PQ .

Two vertical conducting rails separted by distance 1.0m are placed parallel to z -axis as shown in figure. At z=0 , a capacitor of 0.15 F is connected between the rails and a metal rod of mass 100g placed across the rails slides down along the rails. if a constant magnetic fields of 2.0 T exists perpendicular to the plane of the rails, what is the acceleration of the rod?

Figure shows a wire sliding on two parallel, conducting rails placed at a separation L . A magnetic field B exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity V ?

A copper rod of mass m slides under gravity on two smooth parallel rails l distance apart set at an angle theta to the horizontal. At the bottom, the rails are joined by a resistance R . There is a uniform magnetic field perpendicular to the plane of the rails. the terminal valocity of the rod is

Text Solution

Similar Questions

Recommended Questions