The electric field at the origin is along the positive \(x\text-\)axis. A small circle is drawn with the centre at the origin cutting the axes at points \(\mathrm A\), \(\mathrm B\), \(\mathrm C\) and \(\mathrm D\) having coordinates \((a,0),(0,a),(-a,0),(0,-a)\) respectively. Out of the points on the periphery of the circle, the potential is minimum at:
1. \(\mathrm A\)
2. \(\mathrm B\)
3. \(\mathrm C\)
4. \(\mathrm D\)
The electric field and the electric potential at a point are E and V respectively.
(a) If E = 0, V must be zero.
(b) If V = 0, E must be zero.
(c) If E ≠ 0, V cannot be zero.
(d) If V ≠ 0, E cannot be zero
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) , (d)
4. None of these
The electric potential decreases uniformly from 120 V to 80 V as one moves on the x-axis from x = –1 cm to x = +1 cm. The electric field at the origin
(a) must be equal to 20 V cm–1
(b) may be equal to 20 V cm–1
(c) may be greater than 20 V cm–1
(d) may be less than 20 V cm–1
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) , (d)
4. (a) , (d)
The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,
(a) it is uniform in the region
(b) it is proportional to r
(c) it is proportional to r2
(d) it increases as one goes away from the origin.
Choose the coorect option
1. (a) only
2. (b) , (c)
3. (c) only
4. (a) , (d)