If the electric field is given by $(5 i + 4 j + 9 k)$ , the electric flux through a surface of area $20$ unit lying in the Y-Z plane will be :

100

unit

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

80

unit

No worries! We‘ve got your back. Try BYJU‘S free classes today!

180

unit

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20

unit

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $100$ unit
As surface of area lies in the Y-Z plane, thus its area vector points in X direction i.e. $\to A = 20^i$
Electric flux $ϕ = \to E . \to A$
$∴$ $ϕ = (5^i + 4^j + 9^k) . (20^i)$
$⟹$ $ϕ = 5 \times 20 = 100$ unit

Suggest Corrections

Similar questions

If the electric Field is given by 6i+3j+4k calculate the electric flux through a surface of area 20 units lying in Yz plane

The electric field in a region of space is given by E = 5i +2j N/C. The electric flux due to this field through an area $2 m^{2}$ lying in the YZ plane, in S.I unit, is

The electric field in a region of space is given by $\to E = (^5 i +^2 j) N c^{- 1}$ . The electric flux due to this field through an area $2 m^{2}$ lying in the Y-Z plane in S.I. units is

Q. If

\to E = 3 ˆ i + 4 ˆ j - 5 ˆ k

calculate the electric flux through the surface of area

50

units in

z - x

plane.

Q. In a region of space, the electric field is given by

\to E = 8^j + 4^j + 3^k

. The electric flux through a surface of area of

100

units in

x - y

plane is?

Join BYJU'S Learning Program

If the electric field is given by (5i+4j+9k), the electric flux through a surface of area 20 unit lying in the Y-Z plane will be :

The correct option is A 100 unitAs surface of area lies in the Y-Z plane, thus its area vector points in X direction i.e. →A=20^iElectric flux ϕ=→E.→A∴ ϕ=(5^i+4^j+9^k).(20^i)⟹ ϕ=5×20=100 unit

If the electric field is given by $(5 i + 4 j + 9 k)$ , the electric flux through a surface of area $20$ unit lying in the Y-Z plane will be :

The correct option is A $100$ unit
As surface of area lies in the Y-Z plane, thus its area vector points in X direction i.e. $\to A = 20^i$
Electric flux $ϕ = \to E . \to A$
$∴$ $ϕ = (5^i + 4^j + 9^k) . (20^i)$
$⟹$ $ϕ = 5 \times 20 = 100$ unit