The electric field in a region is given by E=(4 hati+3 hatj)V/m . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is

Question

The electric field in a region is given by E=(4 hati+3 hatj)V/m . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is (A) 32 V-m (B) 16 V-m (C) 12 V-m (D) 64 V-m

Tardigrade Admin · Accepted Answer

A square area of side 4 m parallel to y-z plane in vector form can be written as S=42 hati=16 hatim2 Given, E=(4 hati+3 hatj)vm-1 Electric flux passing through the given area is φ E=E.S =(4 hati+3 hatj).16 hati=64 V-m

Q. The electric field in a region is given by $E = (4 \hat{i} + 3 \hat{j}) V / m$ . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is

32 V-m

16 V-m

12 V-m

64 V-m

A square area of side 4 m parallel to y-z plane in vector form can be written as $S = 4^{2} \hat{i} = 16 \hat{i} m^{2}$ Given, $E = (4 \hat{i} + 3 \hat{j}) v m^{- 1}$ Electric flux passing through the given area is $ϕ_{E} = E . S$ $= (4 \hat{i} + 3 \hat{j}) .16 \hat{i} = 64 V - m$

Q. The electric field in a region is given by E=(4i^+3j^​)V/m . The net flux passing through a square area of side 4 m parallel to 4 y-z plane is