Question 677: Electrostatics & Capacitance

Question

The electric field in a region is given by $$\overrightarrow E  = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat j$$ with $${E_0} = 4.0 	imes {10^3}{N \over C}$$. The flux of this field through a rectangular surface area 0.4 m
2
parallel to the Y-Z plane is __________ Nm
2
C
$$-$$1
.

Accepted Answer

$$\phi  = \overrightarrow E \,.\,\overrightarrow A $$
$$ = {{{E_0}} \over 5}\left( {2\widehat i + 3\widehat j} ight)\,.\,\left( {0.4\widehat i} ight)$$
$$ = {{4000} \over 5}\left( {2 	imes 0.4} ight)$$
$$ = 640$$ Nm
2
C
$$-$$1

Electrostatics & Capacitance

The electric field in a region is given by $\overrightarrow E = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat j with {E_0} = 4.0 \times {10^3}{N \over C}. The flux of this field through a rectangular surface area 0.4 m 2 parallel to the Y-Z plane is __________ Nm 2 C -$1 .

Integer / Numeric Answer Type