2. In SI units, v at a point in an
electric field is given by V-6/x +2
find the value of E in the
field at the point (2,0 and o).
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PHYSICS
Electric field in a region is given as Eˉ=xi^+2yj^+3k^. In this region point A(3,3,1) and point B (4,2,1) are there. The magnitude of work done by the electric field, if 2 coulomb charge is moved from A to B. All values are in SI units:
A
3
B
4
C
5
D
6
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Given, E=xi^+2yj^+3k^ and q=2C
Work done, W=∫ABqE.dr=q∫AB(xi^+2yj^+3k^).(dxi^+dyj^+dzk^)
or,W=2∫(3,3,1)(4,2,1)xdx+2ydy+3dz=2[216−9+(4−9)+3(1−1)]=7−10=−3
Magnitude of work done=∣W∣=3
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