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Two charges of -4 muC and +4 muC are pla...

Two charges of -4 `muC` and +4 `muC` are placed at the points A(1,0,4) and B(2,-1,5) located in an electric field `vecE= 0.20hati` V/cm. Calculate the torque acting on the dipole.

Text Solution

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As A(1,0.4), B(2,-1.5)
`:.2a = AvecB`
`=[(2-1)hati+(-1-0)hatj+(5-4)hatk]`
`=[hati-hatj+hatk]`
Charge `q = +- 4 xx10^-6C`
Electric field E `= 0.20hati V//cm=20hati V//m`
torque acting on the dipole
`tau= vecP xx vecE`
`tau = q(2veca)xxE`
`= 4xx10^-6(hai+hatj+hatk)xx20hati`
`=9=8xx10^-5(hatk+hatj)`
Magnitude of torque
`tau = 8xx10^-5sqrt(1^2+1^2)`
`=8xx1-^-5xxsqrt(2)`
`8xx10^-5xx1.414`
`=11.312xx10^-5Nm`
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