A square metal sheet of  is placed on the  plane as shown in the figure below.

If the surface charge density (in  ) on the sheet is , then the total charge (in , rounded off to the nearest integer) on the sheet is _________.

An electric field of  is applied along the length of a copper wire of circular cross-section with diameter 1 mm. Copper has a conductivity of .

The current (in Amperes, rounded off to two decimal places) flowing through the wire is _________.

Two resistors are connected in a circuit loop of area , as shown in the figure below. The circuit loop is placed on the  plane.

When a time-varying magnetic flux, with flux-density  (in Tesla), is applied along the positive -axis, the magnitude of current  (in Amperes, rounded off to two decimal places) in the loop is _________.

Let  be the unit vectors along x and y axes, respectively and let A be a positive constant. Which one of the following statements is true for the vector fields

A uniform plane wave with electric field  is travelling in the air (relative permittivity,  and relative permeability,  ) in the  direction ( is a positive constant,  is the unit vector along the  axis). It is incident normally on an ideal electric conductor (conductivity,  ) at . The position of the first null of the total magnetic field in the air (measured from , in metres) is