A rectangular loop with a sliding connector of length l - 1-0 m is situated in a uniform magnetic field B - 2T perpendicular to the plane of loop- Resistance of connector is r - 2- Two resistances of 6- and 3- are connected as shown in figure- The external force required to keep the connector moving with a constant velocity v - 2m-s is

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Motional EMF

A rectangular...

Question

A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2
$Ω$ . Two resistances of 6 $Ω$ and 3 $Ω$ are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is

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Solution

The correct option is C
2N

Motional emf $e = B v l \Rightarrow e = 2 \times 2 \times 1 = 4$ V
This acts as a cell of emf E=4V and internal resistance r=2 $Ω$ .
This simple circuit can be drwan as follows

Current through the connector $i = \frac{4}{2 + 2} =$ 1 A
$∴$ Magnetic force on connector $F_{m} =$ =Bil= $2 \times 1 \times 1 = 2$ N (Towards left)

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Q. A rectangular loop with a sliding connector of length l = 1.0m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of conector is r =

2 Ω

. Two resistances of 6

Ω

and

3 Ω

are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v=2 m/s is

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The correct option is C 2N Motional emf e=Bvl⇒ e=2× 2× 1=4 V This acts as a cell of emf E=4V and internal resistance r=2Ω. This simple circuit can be drwan as follows Current through the connector i=42+2=1 A ∴ Magnetic force on connector Fm==Bil=2× 1× 1=2 N (Towards left)