Consider a uniform electric field E=3xx1...

Consider a uniform electric field `E=3xx10^(3) N//C`. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a `60^(@)` angle with the x-axis?

Text Solution

Verified by Experts

(a) Given `E=3xx10^(3) N//C`
`S=10^(2) cm^(2)=10^(2)xx(10^(-2) m)^(2)=10^(-2) m^(2)`
`theta=0^(@)`
`phi=ES cos theta`
`=3xx10^(3)xx10^(-2)xxcos 0^(@)`
`:. Phi=30 Nm^(2) C^(-1)`
(b) If `theta=60^(@), phi =ES cos theta`
`=3xx10^(3)xx10^(-2)xx cos 60^(@)`
`:. phi =15 Nm^(2) C^(-1)`

Topper's Solved these Questions

ELECTRIC CHARGES AND FIELDS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|53 Videos
ELECTRIC CHARGES AND FIELDS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE VSAQ|17 Videos
ELECTRIC CHARGES AND FIELDS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise LONG ANSWER QUESTIONS|3 Videos
DUAL NATURE OF RADIATION AND MATTER
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE (VSAQ)|2 Videos
ELECTROMAGNETIC INDUCTION
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Additional EXERCISES|15 Videos

Consider a uniform electric field E = 3 xx 10^(3) hat(i) NC^(-1) . What is the flux through a square of side 10 cm whose plane is parallel to the y-z plane ?

`30 NC^(-1)m^(2)`

`20 NC^(-1)m^(2)`

`10 NC^(-1)m^(2)`

zero

In above question. What wlll be the flux through the same square if the plane of the square makes an angle of 300 with the x-axis ?

`30 NC^(-1)m^(2)1`

`15sqrt(3)NC^(-1)m^(2)`

`15sqrt(2)NC^(-1)m^(2)`

`15 NC^(-1)m^(2)`

A plane passing through (- 1, 2, 3) and whose normal makes equal angles with the coordinate axes is

x+y+z+4 = 0

x – y +z+4 = 0

x +y +z -4 = 0

x+y +z = 0