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A large sheet carries uniform surface cjarge density ¶.A rod of length 2l has a linear charge density of P on one half and -P on the other half. The rod is hinged at mid point O and makes angle A with the normal to the sheet.What is the torque experiwnced by the rod?

kshitiz , 6 Years ago
Grade 12
anser 1 Answers
Namanj

Last Activity: 5 Years ago

The torque experienced by the rod will be calculated by the following: 
Force on elementary length. = Eλdx, 
Torque=Eλdxxsinθ 
Now, 
Integrating from 0 to l, we get, λEsinθl2/2 
Again, for lower part (-λ) 
Torque in same sense. λEsinθl2/2 
So net torque = λEsinθl2 E=σ/2ε0 
Thus, τ= λEsinθl2/2ε0

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