1.

Figure shows a conducting rod of negligible resistance that can slide on smooth U- shaped rail made of wire of resistance 1Omega//m. Position of the conducting rod at t=0 is shown. A time t dependentmagnetic filed B=2tTesla is switeched on t=0 At t=0, when the magnetic field to switched on, the conducting rod is moved to the left at constant speed 5cm//s by some external means. The rod moves perpendicular to the rails. At t=2s, induced emf has magnitude.

Answer»

`0.12V`
`0.08V`
`0.04V`
`0.02V`

SOLUTION :`(B)`At `t=2s""B=4T,(dB)/(DT)=2T//s`
`A=20xx30cm^(2)`
`=600xx10^(-4)m^(2)`
`(dA)/(dt)=-(5xx20)cm^(2)//s=-100xx10^(-4)m//s`
`E=-(dphi)/(dt)=-[(d(BA))/(dt)]=-[(BDA)/(dt)+(AdB)/(dt)]`
`=-[4xx(-100xx10^(-4))+600xx10^(-4)xx2]`
`-[-0.04+0.120]=-0.08V`


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