Electrostatics
A particle of charge $$-q$$ and mass $$m$$ moves in a circular orbit of radius $$r$$ about a fixed charge $$+Q$$. The relation between the radius of the orbit $$r$$ and the time period $$T$$ is:
A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge $$-2.0\times 10^{-9}\ C$$ is acted on by a downward electrostatic force of $$3.0\times 10^{-6}\ N$$ when placed in this field. What is the magnitude of the gravitational force $$\vec F_g$$ on the proton?
The magnitude of the gravitational force on the proton is
$$F_g$$
$$=mg=(1.67\times 10^{-27}\ kg)(9.8\ m/s^2)$$
$$=1.6\times 10^{-26}\ N$$.
A particle of charge $$-q$$ and mass $$m$$ moves in a circular orbit of radius $$r$$ about a fixed charge $$+Q$$. The relation between the radius of the orbit $$r$$ and the time period $$T$$ is:
Three charges $$+Q, q, + Q$$ are placed respectively, at distance, $$0, d/2$$ and $$d$$ from the origin, on the x-axis. If the net force experienced by $$+ Q$$, placed at $$x= 0$$, $$Ls$$ zero,then value of $$q$$ is :
Two identical conducting spheres $$A$$ and $$B$$, carry equal charge. They are separated by a distance much larger than their diameter, and the force between them is $$F$$. A third identical conducting sphere, $$C$$, is uncharged. Sphere $$C$$ is first touched to $$A$$, then to $$B$$, and the removed. As a result, the force between $$A$$ and $$B$$ would be equal to
Two identical charged spheres suspended from a common distance $$d(d < < 1)$$ apart because of their mutual repulsion. The charged begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity $$v$$. Then $$v$$ varies as a function of the distance $$x$$ between the spheres, as
Suppose the charge of a proton and an electron differ slightly. One of them is -e, the other is $$(e+\Delta e)$$. If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then $$\Delta e$$ is of the order of [Given mass of hydrogen $$m_h=1.67\times 10^{-27}Kg$$]
Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and force acting between them is F. If 25% charge of A is transferred to B, then force between the charges becomes
Find the electric force between two protons separated by a distance of $$1$$ fermi ($$1$$ fermi$$ = {10^{ - 15}}m$$). The protons in a nucleus remain at a separation of this order.
A charge of $$1.0$$C is placed at the top of your college building and another equal charge at the top of your house. Take the separation between the two charges to be $$2.0$$km. Find the force exerted by the charges on each other. How many times of your weight is this force?
Two identical balls, each having a charge of $$2.00\times 10^{-7}$$C and a mass of $$100$$g, are suspended from a common point by two insulating strings each $$50$$ cm long. The balls are held at a separation $$5.0$$cm apart and the released. Find the electric force on one of the charged balls. Answer is to be obtained only for the instant just after the release.
A particle having a charge of $$2.0\times 10^{-4}$$C is placed directly below and at a separation of $$10$$cm from the bob of a simple pendulum at rest. The mass of the bob is $$100$$g. What charge should the bob be given so that the string becomes loose?