GATE EC||ELECTROMAGNETIC FIELD THEORY || ELCTRO & MAGNETOSTATICS || PYQS(2000-2025)

Two conducting spheres S₁ and S₂ of radii a and b (b > a), respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure

For some charge placed on this structure, the potential and surface electric field on S₁ are V_a and E_a, and that on S₂ are V_b and E_b, respectively. Then, which of the following is CORRECT?

(GATE 2017|| EC || MCQ ||1 MARK)

Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents I and 2I, respectively, in opposite directions. If the two wires are separated by a distance of 4r, then the magnitude of the magnetic field  between the wires at a distance r from W1 is

(GATE 2019|| EC || MCQ ||2 MARK)

(GATE 2016|| EC || MCQ ||1 MARK)

(GATE 2016|| EC || MCQ ||2 MARK)

Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) quantitatively represents the dependence of Hφ on r, where Hφ is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor?

(GATE 2015|| EC || MCQ ||1 MARK)

(GATE 2014|| EC || MCQ ||2 MARK)

An infinitely long uniform solid wire of radius a carries a uniform dc current of density .

A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire, as shown below.

The magnetic field inside the hole is

(GATE 2012|| EC || MCQ ||2 MARK)

An infinitely long uniform solid wire of radius a carries a uniform dc current of density .

The magnetic field at a distance r from the centre of the wire is proportional to

(GATE 2012|| EC || MCQ ||2 MARK)

(GATE 2011|| EC || MCQ ||2 MARK)

(GATE 2009|| EC || MCQ ||2 MARK)