1.

Find the electric field at point C of the given U shapedwire which is uniformly chargedwith linearchargedensity lambda. [C is the centre of the semi circularsection]

Answer»

Solution :The electricfields due to the threepartsof u shapedwireare shown in the above FIGURE.
`barE_("net") =(Ex_(i) +Ex_(2))i+ (Ey_(1)+Ey_(2)+Ey_(3)) j`
`barE_("net") =((K lambda)/( a)-(KLAMBDA)/( a))i+ ((2Klambda)/( a) -(Klambda)/(a) -(Klambda)/(a))j=0`
Henceelectricfield due to GIVENARRANGEMENT at C = 0.


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