List of top Electricity and Magnetism Questions asked in GATE Instrumentation Engineering

An infinite sheet of uniform charge \( \rho_s = 10\, {C/m}^2 \) is placed on the \( z = 0 \) plane. The medium surrounding the sheet has a relative permittivity of 10 . The electric flux density, in C/m\(^2\), at a point \( P(0, 0, 5) \), is: Note: \( \hat{a}, \hat{b}, \hat{c} \) are unit vectors along the \( x, y, z \) directions, respectively.

Capacitance $C$ of a parallel-plate structure is calculated as $20~\text{pF}$ using $C=\dfrac{\varepsilon_0\varepsilon_r A}{d}$. The value is then measured using an ideal LCR meter (no cable-capacitance error). Which reading is likely to be correct?
The force per unit length between two infinitely long parallel conductors, with a gap of 2 cm between them, is 10 $\mu$N/m. When the gap is doubled, the force per unit length will be _____ $\mu$N/m (rounded off to one decimal place).