Advertisements
Advertisements
प्रश्न
Find the magnitude of the electric field at the point P in the configuration shown in the figure for d >> a.
Advertisements
उत्तर
Taking
\[\text{ So}, E = E_1 \cos \theta + E_2 cos\theta\]
\[ = E_1 cos\theta + E_2 cos\theta\]
\[ = 2 E_1 \cos \theta\]
\[ = 2 . \frac{1}{4\pi \in_0} . \frac{qa}{( d^2 + a^2 )^{3/2}}\]
\[ = \frac{1}{4\pi \in_0} . \frac{p}{d^3} [\text{ since } a < < d]\]
Notes
Figure is missing in the question .
APPEARS IN
संबंधित प्रश्न
The figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?
An infinite line charge produces a field of 9 × 104 N/C at a distance of 2 cm. Calculate the linear charge density.
A hollow cylindrical box of length 1 m and area of cross-section 25 cm2 is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by `vecE = 50xhati` where E is NC−1 and x is in metres. Find
(i) Net flux through the cylinder.
(ii) Charge enclosed by the cylinder.
A hollow cylindrical box of length 0.5 m and area of cross-section 25 cm2 is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by `vecE = 20 xhati` where E is NC−1 and x is in metres. Find
(i) Net flux through the cylinder.
(ii) Charge enclosed by the cylinder.
The electric field at the origin is along the positive x-axis. A small circle is drawn with the centre at the origin, cutting the axes at points A, B, C and D with 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
If a body is charged by rubbing it, its weight
The electric field and the electric potential at a point are E and V, respectively.
Which of the following quantities does not depend on the choice of zero potential or zero potential energy?
A wire is bent in the form of a regular hexagon and a total charge q is distributed uniformly on it. What is the electric field at the centre? You may answer this part without making any numerical calculations.
A ball of mass 100 g and with a charge of 4.9 × 10−5 C is released from rest in a region where a horizontal electric field of 2.0 × 104 N C−1 exists. (a) Find the resultant force acting on the ball. (b) What will be the path of the ball? (c) Where will the ball be at the end of 2 s?
An electric field \[\vec{E} = \vec{i}\] Ax exists in space, where A = 10 V m−2. Take the potential at (10 m, 20 m) to be zero. Find the potential at the origin.
The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the center of the disc is `sigma/(2∈_0)`. With respect to the field at the center, the electric field along the axis at a distance R from the center of the disc ______.
Consider a region inside which, there are various types of charges but the total charge is zero. At points outside the region ______.
In general, metallic ropes are suspended on the carriers taking inflammable materials. The reason is ______.
The electric field intensity produced by the radiations coming from 100 W bulb at 3 m distance is E. The electric field intensity produced by the radiations coming from 50 W bulb at the same distance is:
