The capacitance of the arrangement shown in Fig. is ................... $$pF$$

A infinitely long straight wire carries $$1000$$ $$A$$ of current and in the vicinity, there is a circular conducting loop of $$100$$ $$mm$$ diameter with the center of the loop $$1$$ $$m$$ away from the straight conductor. Both the wire and the loop are coplanar. Determine the magnitude and direction of current in the loop that produces a zero flux density at its center.

A square coil of $$10$$ turns and $$10$$ $$cm$$ side is moved through a steady magnetic field of $$1$$ $$Wb/{m^2}$$ at a constant velocity of $$2$$ $$m/sec$$ with its plane perpendicular to the field as shown in Fig. Plot the variation of induced $$e.m.f$$ as the coil moves along the field.

The capacitance of an isolated sphere of radius 10 cm in air is equal to _____ pF.