1
GATE EE 2022
+1
-0.33

As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r = d are maintained at potentials such that the potential V(r) at r = c is V1 and V(r) at r = d is V2. Assume that V(r) depends only on r, where r is the radial distance. The expression for V(r) in the region between r = c and r = d is

A
$$V(r) = {{cd({V_2} - {V_1})} \over {(d - c)r}} - {{{V_1}c + {V_2}d - 2{V_1}d} \over {d - c}}$$
B
$$V(r) = {{cd({V_1} - {V_2})} \over {(d - c)r}} + {{{V_2}d - {V_1}c} \over {d - c}}$$
C
$$V(r) = {{cd({V_1} - {V_2})} \over {(d - c)r}} - {{{V_1}c - {V_2}c} \over {d - c}}$$
D
$$V(r) = {{cd({V_2} - {V_1})} \over {(d - c)r}} - {{{V_2}c - {V_1}c} \over {d - c}}$$
2
GATE EE 2018
+1
-0.33
A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x - y plane to be a conducting ground plane.

Take $${\varepsilon _0} = 8.85 \times {10^{ - 12}}$$ F/m.

The Z component of the E field at (0, 0, 0.1) is closest to
A
899.18 V/m
B
- 899.18 V/m
C
999.09 V/m
D
- 999.09 V/m
3
GATE EE 2017 Set 1
+1
-0.3
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t=0, the particles are released but are constrained to move along the same straight line. Which of these will collide first?
A
The particles will never collide
B
All will collide together
C
Proton and Neutron
D
Electron and Neutron
4
GATE EE 2017 Set 2
+1
-0.3
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.
A
uniformly over the entire volume of the sphere
B
uniformly over the outer surface of the sphere
C
concentrated around the centre of the sphere
D
along a straight line passing through the centre of the sphere
EXAM MAP
Medical
NEET