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ELECTRIC POTENTIAL

ELECTRIC POTENTIAL

ELECTRIC POTENTIAL

ELECTRIC FLUX AND GAUSS LAW

ELECTRICAL MEASURING INSTRUMENTS

A particle of mass 1kg and charge 1/3μC is projected toward a nonconducing fixed spherical shell of radius r=1mm having the same charge uniformly distributed on its surface. Find th minimum initial velocity of projection requires if the particle just grazes the shell. .

An electric dipole of length 4 cm, when placed with its axis making an angle of 60∘ with a uniform electric field, experiences a torque of 4√3Nm. Calculate the

a. magnitude of the electric field, and

b. potential energy of the dipole, if the dipole has charges of ±8nC.

A nonconducting disk of radius a and uniform positive surface charge density σ is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disk, from a height H with zero initial velocity. The particle has q/m=4ε0g/σ.

(i) Find the value of H if the particle just reaches the disk.

(ii) Sketch the potential energy of the particle as a function of its height and find its equilibrium position.

Electric flux through a surface area 10m2 lying in the xy plane in SI units is (if→E=ˆi+√2ˆj+√3ˆkN/C)

The measurement of an unknown resistance R is to be carried out using Wheatstone bridge (see Fig. 2(EP).3). Two students perform an experiment in two way. The first student takes R2=10Ω and R1=5Ω. The other student takes R2=1000Ω and R1=500Ω. In the standard arm, both take R3=5Ω. Both find R=R2R1R3=10Ω within errors.

Which of the following is/are independent of path?

In a region where both non-zero uniform electric field and magnetic field coexist, the path of a charged particle

The line integral of magnetic field →B around any closed path through which current I is flowing is given by ∮c→B.→dl=

Each of conductors shown in figure carries 2A of current into or out of page. Two paths are indicated for the line integral ∮→B.→dI. What is the value of the integral for the path (a) and (b).

10C and 20C are separated by a distance d. If the electric field at the location of a charge 10C is →E, the field at the location of 20C is

Show that the line integral of electric field ntensity between any two points depends only on the position of these points and its independent of the path followed between these points.

The line integral of magnetic field vec(B) around any closed path through which current I is flowing is given by oint_(c) vec(B).vec(d) l =

In electrostatics both the electric field intensity (E) and potential (V) are closely related. Show that the line integral of electric field along any closed path is zero.

In a region where both non-zero uniform electric field and magnetic field coexist, the path of a charged particle

Prove that in a uniform field the work is independent of the path.