MCQ
Consider the two idealised systems $(i)$ a parallel plate capacitor with large plates and small separation and $(ii)$ a long solenoid of length $L >> R$, radius of cross-section. In $(i)\, E$ ideally treated as a constant between plates and zero outside. In $(ii)$ magnetic field is constant inside the solenoid and zero outside. These idealised assumptions, however, contradict fundamental laws as below
  • A
    Case $(i)$ contradicts Gauss' law for electrostatic fields
  • Case $(ii)$ contradicts Gauss' law for magnetic fields
  • C
    Case $(i)$ agrees with $\oint {E.dl = 0} $
  • D
    Case $(ii)$ contradicts $\oint {H.dl = {I_{en}}} $

Answer

Correct option: B.
Case $(ii)$ contradicts Gauss' law for magnetic fields
b
As Gauss' law states,$\oint\limits_s {E.dS}  = \frac{q}{{{\varepsilon _0}}}$ electrostatic field. It does not contradict for electrostatic fields as the electric field lines do not form continuous closed path. According to Gauss' law in magnetic field, $\oint\limits_s {E.dS}  = 0$ It contradicts for magnetic field, because there is a magnetic field inside the solenoid and no field outside the solenoid carrying current but the magnetic field lines form the closed path.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Assertion : Ohm's law is applicable for all conducting elements.

Reason : Ohm's law is a fundamental law

There is rod of length $l$. The velocities of its two ends are $v_1$ and $v_2$ in opposite directions normal to the rod. The distance of the instantaneous axis of rotation from $v_1$ is:
A uniform rod of length $2.0 \,m$ is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately .... $\sec$
Two insulated metallic spheres of $3\,\mu F$ and $5\,\mu F$ capacitances are charged to $300\, V$ and $500\,V$ respectively. The energy loss, when they are connected by a wire is
If two charges of $1$ coulomb each are placed $1 \,km$ apart, then the force between them will be ........... $N$
The $r.m.s.$ value of an ac of $50\,Hz$ is $10\,amp$ . The time taken by the alternating current in reaching from zero to maximum value and the peak value of current will be
Consider a system of three charges $\frac{q}{3},\frac{q}{3}$ and $\frac{-2q}{3}$ placed at points $A,B$ and $C$, respectively, as shown in the figure. Take $O$ to be the centre of the circle of radius $R$ and angle $CAB = 60^o$
An isosceles prism of angle $A=30^{\circ}$ has one of its surfaces silvered. Light rays falling at an angle of incidence $60^{\circ}$ on the other surface retrace their path after reflection from the silvered surface. The refractive index of prism material is
The $r.m.s.$ voltage of the wave form shown is
The quantities of heat required to raise the temperature of two solid copper spheres of radil $r _{1}$ and $r _{2}\left( r _{1}=1.5 r _{2}\right)$ through $1\;K$ are in the ratio