Chapter 7: Electrostatics, Dielectrics & Current Electricity (Set-4)

In electrostatics, the curl of electric field equals

A charge density
B magnetic flux
C zero
D potential

The electric field between large parallel plates (ignoring edges) is

A zero
B uniform
C proportional to r
D inversely proportional to r²

In Poisson’s equation, the Laplacian of potential equals

A free charge density
B −ρ/ε₀
C ∇·E
D zero

Polarization in dielectric is strongest when

A no E-field
B weak E-field
C strong E-field
D D is zero

Capacitors in parallel add because

A voltages add
B fields add
C plates effectively increase area
D separation decreases

The D field includes

A free charge effects
B bound charge effects
C both
D neither

Dielectric constant <1 is possible in

A metals
B perfect insulators
C plasmas
D all solids

Ohm’s law in vector form

A J = σE
B E = σJ
C J = ρE
D J = E/R

Resistivity of insulator is

A low
B moderate
C high
D zero

Surface charge density on conductor creates

A tangential field
B normal field
C circular field
D no field

Potential of uniformly charged ring on axis

A decreases with distance
B constant
C increases with distance
D zero everywhere

If ∇²V > 0 at a point, charge density is

A positive
B negative
C zero
D infinite

In a dielectric, electric field is reduced due to

A conduction
B induced dipoles
C magnetization
D drift

Capacitance of parallel plates varies inversely with

A area
B ε
C separation
D voltage

Potential of dipole at large distance is proportional to

A 1/r
B 1/r²
C 1/r³
D 1/r⁴

A conductor is

A equipotential
B nonequipotential
C partially potential
D constant current surface

Mobility relates

A drift velocity and E
B force and charge
C current and voltage
D field and energy

For spherical Gaussian surface, E-field depends on

A angle
B distance
C thickness
D area

Induced dipoles in dielectrics are

A permanent
B temporary
C random
D independent of field

In conductor, current density proportional to

A
B E
C
D σ²

Charge in Gaussian surface affects field

A outside only
B inside only
C both
D not at all

Potential difference is path independent because

A E is non-conservative
B E is conservative
C charges move freely
D potential varies randomly

Dielectric strength refers to

A permittivity
B maximum E before breakdown
C conductivity
D relaxation time

The E-field inside ideal dipole at center is

A zero
B infinite
C finite
D negative

Resistivity depends on

A material
B temperature
C impurities
D all of these

Laplace equation holds for

A charge-filled region
B conductor interior
C empty (charge-free) region
D resistors only

For conductor surface, tangential E is

A zero
B constant
C very high
D equal to D

Capacitance is property of

A charge
B geometry
C resistance
D current

Dielectric constant of vacuum is

A 0
B 1
C 2
D infinite

A polarization vector opposite to E-field means

A normal
B anti-aligned
C ferroelectric
D impossible

If D = 0 everywhere, then

A free charge = 0
B bound charge = 0
C both zero
D electric field = 0

Unit of electric displacement D

A C/m
B C/m²
C V/m
D A/m²

Capacitance of spherical capacitor increases if

A outer radius decreases
B permittivity increases
C inner radius decreases
D spacing increases

Drift velocity increases with

A decreasing E
B increasing E
C decreasing mobility
D increasing resistivity

Total electric flux through closed surface depends on

A area
B shape
C enclosed charge
D permittivity only

Capacitance increases when

A area increases
B distance increases
C ε decreases
D none

In linear dielectric, P is

A proportional to E
B proportional to E²
C independent of E
D perpendicular to E

Ohmic heating power is

A I²/R
B IR
C I²R
D 1/IR

Relaxation time is

A σ/ε
B ε/σ
C 1/(εσ)
D σ²/ε

A dielectric becomes conductor on

A polarization
B alignment
C breakdown
D heating

Resistivity of semiconductor decreases when

A dopants removed
B temperature increases
C E decreases
D electrons removed

D-field is normal to

A conductor surface
B dielectric always
C any surface
D E-field always

Potential due to point charge decreases as

A 1/r
B 1/r²
C 1/r³
D constant

Electric field lines start from

A negative charges
B positive charges
C both
D neither

If σ = 0, the material is

A conductor
B semiconductor
C dielectric
D superconductor

A strong dielectric reduces

A P
B E inside
C potential
D charge

Conduction current exists in

A metals only
B dielectrics only
C vacuum only
D materials with free charges

In electrostatics, magnetic field is

A zero
B constant
C varying
D irrelevant

Joule heating greatest when

A resistance small
B current large
C voltage zero
D E small

A dielectric increases capacitance because

A increases charge
B reduces effective field
C increases breakdown
D reduces resistivity