How much work is required to deflect the dipole of charge 3×10^-6C and length 50cm through an angle 60degree in a electric field 1×10^5 N/C.
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Answer:
Torque on dipole, T = P×E×Sin( ¥ )
Where
P = Dipole Moment = 2qr = q× ( 2 r )
Here q = Charge on dipole ,
2r = length of dipole = 2cm = 0.02m
E = Electric Field intensity = 1000000 N/C
¥ = angle between P and E = 600
Now
T = P×E×Sin ( ¥ )
= q×(2r)×E× Sin ( ¥ )
= q×2r×E× Sin ( ¥ )
q = 2r×E×Sin(¥)T
= 0.02×100000083×(23)
= 2×1000000×(3)[83)×100×2]
= 100008
= 8×10−4C
= 8×10−4C×100100
= 8×100×[10010−4]C
= 800×10−6 C
= 800 microCoulomb
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