The electric field components are`E_(x)=ax^(1//2),E_(y)=E_(z)=0` in which `a=800NC^(-1)m^(-1//2)`. Calculate a. the flux through the cube, and b. the charge within the cube. Assume that `a=0.1m`

If m is the slope of the tangent to the curve, e^(y) =1 +x^(2) , then,

Consider a uniform electric field vecE=3xx10^(3)hatiNC^(-1) a. Whate is the flux of this field through a square of 0.1 m on a side whose plane is parallel to the y-z plane? b. What is the flux through the same square if the normal to its plane makes a 60 angle with x-axis?

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 and e_(2) is the eccentricity of the hyperbola passing through the foci of the ellipse and e_(1) . e_(2)=1 , then the equation of the hyperbola

An electric field is uniform and E=200 hatiNC^(-1) along +x s and E=-200hatiNC^(-1) along -x direction. A right circular cylinder of length 0.20 m and radius 0.05 m has its centre at the origin and its axis along the x-axis so that one face is x=+0.10m and the other =x-0.10m . a. What is the net outward flux through each flat face? b. What is the flux through the side of the cylinder? c. What is the net outward flux throught the cylinder? d. What is the net charge inside the cylinder?

Two equal and opposite charges of masses m_(1) and m_(2) are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of mass is (m_(1))/(m_(2))= 0.5 ?