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The magnetic field `B` at all points within `a` circular region of the radius `R` is uniform space and directed into the plane of the page in figure. If the magnetic field is increasing at a rate `dB//dt` what are the magnitude and direction of the force on as stationary positive point charge `q` located at points `a,b, c`? (Point a is a distance `r` above the centre of the region, point `b` is a distance `r` to the right to the centre and point `c` is at the centre of the region). |
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Answer» Inside the circular region at distance `r` `El=(dphi)/(dt)=S((dB)/(dt))` `:. E(2pir)=(pir^2).(dB)/(dt)` `E=r/2 (dB)/(dt)` `F=qE=(qr)/2(dB)/(dt)` At points `a` and `b`, distance from centre is `r` `:. F=(qr)/2 (dB)/(dt)` At point `C` distance `r=0` `:. F=0` `ox` magnetic field is increasing. Hence, induced current in an imaginary loop passing through `a` and `b` should produce `o`. magnetic field. Hence induced current through an imaginary circular loop passing through a and `b` shoud be anti clockwise. Force on positive charge is in the direction of induced current. Hence, force at a is towards left and force at `b` is upwards. |
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