A uniform electric field E→ exists in a region of space. Three squares having areas 2 m2, 3 m2 and 4 m2 lie in xy, yz and zx planes respectively. If the electric flux through the areas are 4 V-m, 9 V-m and 8 V-m respectively, then the electric field may be
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a
3i^+2j^+3k^Vm
b
2i^+2j^+3k^Vm
c
2i^+3j^+2k^Vm
d
3i^+2j^+2k^Vm
answer is D.
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Detailed Solution
Let the electric field be E→=Exi^+Eyj^+Ezk^Given Axy→ =2k^m2, Ayz→ =3i^m2 and Azx→ =4j^m2,Φxy= E→Axy→ ==Ez.Axy⇒Ez=42V/m=2V/mΦyz= E→Ayz→ ==Ex.Ayz⇒Ex=93V/m=3V/mΦzx= E→Azx→ ==EyAzx⇒Ey=84V−m=2V−m∴E→=3i^+2j^+2k^V/m