Electric Charges And Fields-Test 01

A proton and an electron are placed $$1.6 cm$$ apart in free space. Find the magnitude of the electrostatic force between them. The nature of this force.

In a region the electric potential is given by $$V = 2x + 2y - 3z$$ obtain the expression for electric field.

A long thread carrying a uniform charge $$\lambda$$ per unit length has the configuration shown in the figure. An element of charge $$q$$ is cut from the thread. The cutting portion is shown as small gap $$(AB)$$. The electric field at the point $$O$$ is

In a region, an electric field $$\vec {E} = E_{0}\hat {i}$$ is present. The potential of points $$A(a, 0, 0), B(0, b, 0), C(0, 0, c)$$ and $$D(-a, 0, 0)$$ and $$V_{A}, V_{B}, V_{C}$$ and $$V_{D}$$ respectively, then

The electric field and the electric potential at a point are E and V respectively. then the incorrect statements are

Electric field in a plane varies like $$(2x\hat {i} + 2y\hat {j})N/C$$. If potential at infinity is taken as zero, potential at $$x = 2m, y = 2m$$ is

A certain charge $$Q$$ is to between divided into two parts $$q$$ and $$Q-q$$. What is the relationship $$Q$$ and $$q$$ if the two parts, placed at a given distance $$r$$ apart, are to have the maximum Coulomb repulsion?

A point charge of $$-4.00 \,nC$$ is located at $$(0, 1.00) \,m$$.
What is the $$x$$ component of the electric field due to the point charge at $$(4.00, -2.00) \,m$$?

If a glass plate is placed between two charges. Then, compare the electric force with the initial condition. It will be :

Three charged particles are arranged on corners of a square as shown in Figure with charge $$-Q$$ on both the particle at the upper left corner and the particle at the lower right corner and with charge $$+2Q$$ on the particle at the lower left corner.
What is the direction of the electric field at the upper right corner, which is a point in empty space?