Current Electricity
In the return stroke of a typical lighting bolt, current of $$2.5\times 10^4\ A$$ exist for $$20\ \mu s$$. How much charge is transferred in this event?
A uniformly charged ring of radius $$3a$$ and total charge $$q$$ is placed in xy-plane centred at origin. A point charge $$q$$ is moving towards the ring along the z-axis and has speed $$u$$ at $$z-4a$$. The minimum value of $$u$$ such that it crosses the origin is :
$$U_i+K_i=U_f+K_f$$
$$\dfrac{kq^2}{\sqrt{16a^2+9a^2}}+\dfrac{1}{2}mv^2=\dfrac{kq^2}{3a}$$
$$\dfrac{1}{2}mv^2=\dfrac{kq^2}{1}(\dfrac{1}{3}-\dfrac{1}{5})=\dfrac{2kq^2}{15a}$$
$$v=\sqrt{\dfrac{4kq^2}{15ma}}$$
In the return stroke of a typical lighting bolt, current of $$2.5\times 10^4\ A$$ exist for $$20\ \mu s$$. How much charge is transferred in this event?
Of the charge $$Q$$ on a tiny sphere, a fraction $$\alpha$$ is to be transferred to a second, nearby sphere. The spheres can be treated as particle. smaller
Of the charge $$Q$$ on a tiny sphere, a fraction $$\alpha$$ is to be transferred to a second, nearby sphere. The spheres can be treated as particle. larger values of $$\alpha$$ that put $$F$$ at half the maximum magnitude?
If a cat repeatedly rubs against your cotton slacks on a dry day, the charge transfer between the cat hair and the cotton can leave you with an excess charge of $$-2.00 \mu C$$. In that spark, do electrons flow from you to the faucet or vice varsa?
Which of the following sets has different dimensions?
A small charged particle of mass $$m$$ and charge $$q$$ is suspended by an insulated thread in front of a very large conducting charged sheet of uniform surface density of charge $$\sigma$$. The angle made by the thread with the vertical in equilibrium is
Consider the situation depicted in the adjacent figure. The work done in taking a point charge from $$P$$ to $$A$$ is $$W_A$$, from $$P$$ to $$B$$ is $$W_B$$ and from $$P$$ to $$C$$ is $$W_C$$. Therefore,
A charge $$Q$$ is fixed at a distance $$d$$ in front of an infinite metal plate. The lines of force are represented by
Two force point charges $$+q$$ and $$+4q$$ are a distance $$\ell$$ apart. A third charge $$q_1$$ is so placed that the entire system is in equilibrium. Find the location, magnitude and sign of the third charge.
Five point charges, each of charge $$+q$$ are placed on five vertices of a regular hexagon of side $$h$$ as shown in the figure. Then