List of top Electricity and Magnetism Questions asked in GATE IN

A capacitor is constructed using two concentric spheres and air as the dielectric medium (permittivity of air = \(8.854 \times 10^{-12} \, \text{F/m}\)). The radii of the inner and outer spheres are \(a = 10 \, \text{cm}\) and \(b = 15 \, \text{cm}\), respectively. The capacitance (in picofarads) is _________ (round off to 2 decimal places).
A conducting semi-circular loop of radius \( R = 0.1 \, \text{m} \), with its diameter centered at the origin, rotates in the \( x \)-\( y \) plane about the origin with a constant angular velocity, \( \omega = 20 \, \text{rad/s} \), as shown. A magnetic field of magnitude \( B = 2 \, \text{T} \) and normal to the \( x \)-\( y \) plane exists in the region \( x \geq 0 \) as shown. If the loop has a resistance of \( 2 \, \Omega \), and negligible inductance, the peak-to-peak current (in milliamperes) in the loop is _________ (round off to one decimal place)