PYQs Based test 5: Electromagnetic Fields

A capacitor is made with a polymeric dielectric having εᵣ of 2.26 and a dielectric breakdown strength of 50 kV / cm. The permittivity of free space is 8.85 pF / m. If the rectangular plates of the capacitor have a width of 20 cm and a length of 40 cm, the maximum electric charge in the capacitor is

Match the following

C₀ is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b) is filled with a dielectric of permittivity ϵᵣ , the expression for the modified capacitance is

A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x – y plane to be a conducting ground plane. Take ${\in }_0=8.85\times 10^{-12}$ F/M. The z component of the E field at (0, 0, 0.1) is closest to

A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ₀ is 4π × 10⁻⁷ is SI unit. If a uniform magnetic field intensity $\vec{H}=10^7\hat{z}\frac{A}{m}$ is applied, then the peak value of the inducted voltage, V${}_{tum}$ (in volts), is ________.