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In the given arrangement of a charged sq...

In the given arrangement of a charged square frame find field at centre. The linear charged density is as shown in figure

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E.F due to `1=(2Klamda)/(l)(sin45^@+sin45^@)hati`
`=(2sqrt(2)Klamda)/(l)hati`
E.F. due to `2=-(4sqrt(2)Klamda)/(l)hati`
E.F. due to `3=(6sqrt(2)Klamda)/(l)hatj`

E.F. due to `4=(8sqrt(2)Klamda)/(l)hatj`
`vecE_("net")=vecE_("due to 1")+vecE_("due to 2")+vecE_("due to 3")+vecE_("due to 4")`
`=((2sqrt(2)Klamda)/(l)-(4sqrt(2)Klamda)/(l))hati+((6sqrt(2)Klamda)/(l)-(8sqrt(2)Klamda)/(l))hatj`
`=(-2sqrt(2)Klamda)/(l)hati+(14sqrt(2)Klamda)/(l)hatj`
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