Question

The electric field in a region is given by `bar"E" = 4hat"i" + 10hat"j"` N/C. The flux of this field through a square of 10 cm on a side whose plane is parallel to the XZ plane.

Options

• 4 Vm

• 10 Vm

• 0.1 Vm

• 0.4 Vm

Answer 1

0.1 Vm

Explanation:

Given `vec "E" = 4hat"i" + 10hat"j"` N/C; l = 10 cm `= 10/100` = 0.1 m

∴ area A = l² or, A = (0.1)² = 1 × 10^-2 m²

Flux on a side whose plane is parallel to the xz plane,

Flux, `phi = "E"."A" = (4hat"i" + 10hat"j")*(1 xx 10^-2)hat"j"`

= 10 × 10^-2 = 0.1 Vm