A square metal sheet of $4 \mathrm{~m} \times 4 \mathrm{~m}$ is placed on the $x-y$ plane as shown in the figure below. If the surface charge density (in $\mu \mathrm{C} / \mathrm{m}^2$ ) on the sheet is $\rho_s(x, y)=4|y|$, then the total charge (in $\mu \mathrm{C}$, rounded off to the nearest integer) on the sheet is___________ .

An electric field of $0.01 \mathrm{~V} / \mathrm{m}$ is applied along the length of a copper wire of circular crosssection with diameter 1 mm . Copper has a conductivity of $5.8 \times 10^7 \mathrm{~S} / \mathrm{m}$. The current (in Amperes, rounded off to two decimal places) flowing through the wire is ________

A $50 \Omega$ lossless transmission line is terminated with a load $Z_L$ of $(50-j 75) \Omega$. If the average incident power on the line is 10 mW , then the average power delivered to the load (in mW , rounded off to one decimal place) is _________ .

Two resistors are connected in a circuit loop of area $5 \mathrm{~m}^2$, as shown in the figure below. The circuit loop is placed on the $x-y$ plane. When a time-varying magnetic flux, with flux-density $B(t)=0.5 t$ (in Tesla), is applied along the positive $z$-axis, the magnitude of current $I$ (in Amperes, rounded off to two decimal places) in the loop is__________ .