A ring made of wire with a radius of 10 cm, is charged negatively and carries charge of −5×10−9C. The distance from the centre to the point on the axis of the ring, where the intensity of the electric field is maximum, will be ?
An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a uniform electric field E. If it is slightly rotated from its equilibrium orientation, then its angular frequency $$\omega$$ is :-
In a certain region static electric and magnetic fields exist. The magnetic feild is given by $$ \vec B = B_0 ( \hat{i} +2 \hat{j} - 4 \hat{k} )$$ . If a test charge is given by $$ \vec v = v_0 ( 3 \hat{i} + \hat{j} - 2 \hat{k} )$$ experiences no force in that region, then the electric field in the region, in SI units, is :
The potential of the electric field produced by point charge at any point $$\left( x,y,z \right)$$ is given by $$ V=3{ x }^{ 2 }+5$$, where $$x$$, $$y$$ are in metres and $$V$$ is in volts. The intensity of the electric field at $$\left( -2,1,0 \right) $$ is:
Two charged particles are placed at a distance $$1.0cm$$ apart. What is the minimum possible magnitude of the electric force acting on each charge?
The intensity of electric field due to a proton, at a distance of $$0.2\ nm$$ is ?
Two plates are 2cm apart and a potential difference of 10V is applied between them. The electric field between the plates is
In the diagram shown electric field intensity will be zero at a point:
An electron of mass $$m$$ and charge $$e$$ leaves the lower plate of a parallel plate capacitor of length $$L$$, with an initial velocity $$v_{0}$$ making an angle $$\alpha$$ with the plate and come out of the capacitor making an angle $$\beta$$ to the plate. The electric field intensity between the plates.
An infinitely long cylindrical surface of circular cross-section is uniformly charged lengthwise with the surface density $$\sigma = \sigma_{0}\cos \varphi$$, where $$\varphi$$ is the polar angle of the cylindrical coordinate system whose $$z$$ axis coincides and direction of the electric field strength vector on the $$z$$ axis.
A thin wire ring of radius $$r$$ carries a charge $$q$$. Find the magnitude of the electric field strength on the axis of the ring as a function of distance $$l$$ from its centre. Investigate the obtained function at $$l > > r$$. Find the maximum strength magnitude and the corresponding distance $$l$$. Draw the approximate plot of the function $$E(l)$$.