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A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1cms^(-1) in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case? |
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Answer» Solution :a. `B=0.3T,""l=8xx10^(-2)m,V=1xx10^(-2)ms^(-1)` `varepsilon=Blv=0.3xx10^(-2)xx8xx10^(-2)=0.24mV` `v=(l)/(t) therefore t=(l)/(v)=(2cm)/(1cm//s)=2SEC` b. The EMF developed when the velocity of loop is in the DIRECTION normal to the shorter side `varepsilon=0.3xx10^(-2)xx2xx10^(-2)=0.06mV` `t=(l)/(v)=(8cm)/(1cm//s)=8sec` |
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