Bob at pendulum mass 2g, charge , an electric field of intensity 2000v/m. Angle of pendulum with vertical at equilibrium?
Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q, At its centre is a dipole as shown. In this case :
surface charge density on the outer surface depends on
electric field outside the shell is the same as that of a point charge at the centre of the shell
surface charge density on the inner surface is uniform and equal to
surface charge density on the inner surface of the shell is zero everywhere
A simple pendulum of length L is placed between theplates of a parallal plate capacitor having electric field E, as shown in figure. its bob has mass m and charge q. The time period of the pendulum is given by:
In free space , a particle A of charge is held fixed at a point P. Another particle B of the same charge and mass of is kept at a distance of 1mm from P. If B is relesed .then its velocity at a distance of 9mm from p is:
Figure shows charge (q) versus voltage (V) graph for series and parallel combination
of two given capacitors. The capacitances are:
A point dipole is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively : ( Take V=0 at infinity)
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dieletrics, of equal thickness and dielectric constants . The first capacitors is filled as shown in fig. I, and the second one is filled as shown in fig II.
If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be ( refers to capacitors (I) and to capacitor (II) ):
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 v at z=4a. The minimum
value of v such that it crosses the origin is :
The electric filed in a region is given by , where E is in and x is in meters. The value of constantd are A=20 SI unit and B= 10 SI unit. If the potential at x=1 is V1 and that at x=-1 is V2 , then V1-V2 is:
An electric dipole is formes 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 is
In the given circuit, the charge on the capacitor will be:
Let a total charge 2 Q be distributed in a sphere of radius R, with the charge density given by , where r is the distance from the centre. Two charge A and B, of -Q each, are placed on diametrically opposite points, at equal distance, a, from the centre. If A and B do not experience any force, then:
Four point charges are place on y-axis at respectively . The magnitude of the electric field at a point on the x-axis at with , will behave as :
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage , V . When the capacitors are fully charged , the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitors . The new potential difference of the combined system is :
A parallel plate capacitor has capacitance. One of its two plates is given chargre and the other plate, charge. The potential difference developed across the cpacitor is:
A Positive point charge is released from rest at a distance ro from a positive line chage with unifrom density. The speed (v) of the point charge , as function of instantaneous distance r from line charge, is proportional to:
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of , the new potential difference between the same two surfaces is :
A capacitor with capacitance is charged to . If the plates are pulled apart to reduce the capacitance to how much work is done ?
A system of three charges are placed as shown in the figure :
If the potential energy of the system is best given by :
Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric field of . The plate area is What is the dielectric constant if the capacitance is ?