Question

in a certain region of surface there exists a uniform electric field of 2 x 10^3
k V/m. A rectangular coil of dimensions 10 cm x 20 cm is placed in x-y
plane. The electric flux through the coil is -
A.Zero
B. 30V-m
C 40v-m
D. 5OV-m​

Answer 1

Answer:

40 V.m

Explanation:

The formula for calculating Electric Flux is given as:

$\boxed{ \text{Electric Flux}\:\: (\phi) = \int {E}.dS}$

Here, E represents Electric Field and S represents Area Vector.

Since it is a dot product of 2 vector quantities, Flux is a scalar quantity.

According to the question,

Electric Field = 2 × 10³ V/m

Area Vector = 10 cm × 20 cm = 200 cm²

In terms of m², we  get:

→ Area Vector = 0.02 m²

Substituting in the formula we get:

→ Electric Flux = ( 2 × 10³ ) ( 0.02 )

→ Electric Flux = 4 × 10 = 40 V.m

Hence Option (C) is the right answer.