Chapter 8: Magnetism, EMI, Maxwell’s Equations & EM Waves (Set-4)

Magnetic force on a current element Idl in a magnetic field is

A Idl⋅B
B Idl×B
C B/I
D Zero

Magnetic dipole moment of a current loop is

A IA
B NIA
C μ₀IA
D IB

Field at the axial point of a circular loop varies as

A 1/r
B 1/r²
C 1/r³
D Constant

Magnetic susceptibility χm of paramagnets is

A Large negative
B Small positive
C Large positive
D Zero

Ferromagnetic saturation occurs when

A Domains become random
B All domains align fully
C χ → 0
D Magnet loses magnetism

Inside a perfect diamagnet, magnetic field is

A Increased
B Unchanged
C Slightly decreased
D Expelled

In EMI, the induced current always

A Opposes cause
B Aids cause
C Is random
D Does not depend on flux

Lenz’s law ensures

A Charge conservation
B Energy conservation
C Momentum conservation
D Magnetic charge conservation

In a rotating coil generator, induced EMF is maximum when

A Coil plane ∥ field
B Coil plane ⟂ field
C Coil stops
D Magnetic field is zero

The back EMF of a motor is due to

A Electrical resistance
B Mechanical rotation cutting flux
C Inductor action
D Capacitive effect

A solenoid’s inductance increases when

A Core removed
B Air used
C Iron core inserted
D Number of turns decreases

The mutual inductance M12 equals M21 because

A Flux is constant
B Reciprocity theorem
C Turns equal
D Resistance equal

Induced EMF per turn in a transformer is proportional to

A Current
B Voltage
C Rate of change of flux
D Frequency only

Transformer equation is

A Vs/Vp = Np/Ns
B Vs/Vp = Ns/Np
C Vs = IR
D None

In AC circuits, the average power in pure inductance is

A Maximum
B Zero
C Negative
D Constant

The RMS value of AC voltage is

A V0
B V0/√2
C 2V0
D Zero

A capacitor’s reactance decreases when

A Frequency decreases
B Frequency increases
C Capacitance decreases
D None

The impedance of a series LCR circuit at resonance is

A Zero
B Maximum
C Minimum = R
D Infinity

Quality factor Q indicates

A Energy stored per cycle
B Sharpness of resonance
C Resistance only
D Only inductance

Skin depth δ for conductors is

A Higher at high frequency
B Lower at high frequency
C Infinite
D Zero

EM waves arise when there is

A Constant charge
B Accelerating charge
C Static charge
D Uncharged matter

Displacement current density is

A σE
B ϵ ∂E/∂t
C μ ∂H/∂t
D ϵE

Maxwell corrected Ampere’s law to

A Include electric flux changes
B Include magnetic flux changes
C Allow monopoles
D Permit static fields only

EM wave speed decreases when

A μ and ε increase
B μ increases only
C ε decreases
D Frequency increases

The ratio E/B in free space equals

A μ₀
B ε₀
C c
D 1/c

Energy density in magnetic field is

A 1/2ϵE²
B 1/2μH²
C EH
D EB

Wave impedance Z = √(μ/ϵ) equals 377 Ω for

A Water
B Glass
C Vacuum
D Iron

Poynting vector gives

A Charge flow rate
B Power per unit area
C Resistance
D Capacitance

In plane EM waves, E, B, and propagation direction are

A Coplanar
B Perpendicular pairwise
C Parallel
D Same direction

For good conductors, wave attenuation constant is

A Zero
B Large
C Negative
D Constant

Anomalous dispersion corresponds to

A dn/dω > 0
B dn/dω < 0
C n constant
D n infinite

The group velocity of a dispersive medium is

A Equal to phase velocity
B May be less or greater than phase velocity
C Zero
D Infinite

Conductivity affects

A Penetration depth
B Wave attenuation
C EM heating
D All of these

EM waves in a perfect conductor

A Reflect completely
B Transmit fully
C Are amplified
D Are partially lost

Magnetic field inside a conductor carrying AC is

A Uniform
B Maximum at center
C Maximum at surface
D Zero everywhere

Phase lag between current and voltage in RL circuit is

A
B 90°
C Between 0° and 90°
D 180°

A capacitor causes voltage to

A Lead current
B Lag current
C Be in phase
D Double

EM waves satisfy

A Maxwell equations
B Schrodinger equation
C Einstein field equation
D Poisson equation

Maxwell’s equations predict

A Matter waves
B Gravitational waves
C EM waves
D Sound waves

The source of EM waves is

A Constant velocity charges
B Accelerating charges
C Stationary electrons
D Neutrons

Radiation pressure of EM waves is due to

A Mass
B Charge
C Momentum carried by waves
D Temperature

In free space, EM waves are

A Longitudinal
B Transverse
C Both longitudinal and transverse
D Standing

EM wave equation in free space is

A ∇²E = μ₀ϵ₀ ∂²E/∂t²
B ∇²E = 0
C ∇E = 0
D ∇×E = 0

Light intensity is proportional to

A E
B H
C
D EB

Magnetic permeability of a ferromagnet is

A Always μ₀
B Slightly > μ₀
C Much greater than μ₀
D Zero

In induction heating, high-frequency currents cause

A Greater penetration
B Stronger skin effect
C Lower temperature
D No heating

A sinusoidal varying E-field produces

A Static B-field
B Sinusoidal B-field
C No B-field
D Constant B-field

The direction of induced EMF is determined by

A Ampere’s law
B Gauss law
C Lenz’s law
D Maxwell’s law

EM waves can propagate in

A Vacuum only
B Conductors only
C Insulators only
D Vacuum and matter

The combined energy density of EM wave is

A εE²
B μH²
C 1/2(εE² + μH²)
D EH