Home/Class 12/Physics/

Question and Answer

Four charges are arranged at the corners of a square  \(\mathit{ABCD}\)  of side\( d\). as shown in the figure.  \(A\)  charge  \(q_0\)  is brought to the centre  \(E\)  of the square, the four charges being held fixed at its corners. How much extra work is needed to do this?
Question: Four charges are arranged at the corners of a square  mathit{ABCD}  of side d. as shown in the figure.  A  charge  q_0  is brought to the centre  E  of the square, the four charges being held fixed at its corners. How much extra work is needed to do this?

Answer

The extra work necessary to bring a charge \(q_{0}\) to the point E when the four charges are at \(A,\;B\;,\;C\) and \(D\) is  given by
\(W\;=\;{q}_{0}\;\times \;V\)
\(\Rightarrow\)\({q}_{0}\;\)\(\times\) electrostatic potential at  \(E\)  due to the charges at  \(A,\;B\;,C\) and \(D\)) The electrostatic potentlal at 
 is clearly zero since potential due to  \(\text A\)  and  \(\text C\)is cancelled by that due to  \(\text B\)  and  \(\text D\)  Hence. no work is. required to bring any charge to point  \(\mathit{E.}\) 
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct23
Incorrect0
Watch More Related Solutions
Vehicles carrying inflammable materials usually have metallic ropes touching the ground during motion. Why?
The magnifying power of a converging lens used as a simple microscope is \( \left(1+\frac{D}{f}\right)\). A compound microscope is a combination of two such converging lenses. Why don't we have magnifying power \( \left(1+\frac{D}{{f}_{o}}\right)\) \( \left(1+\frac{D}{{f}_{e}}\right)\)? In other words, why can the objective not be treated as a simple microscope but the eyepiece can?
A bird perches on a bare high power line and nothing happens to the bird. A man standing on the ground touches the same line and gets a fatal shock. Why?
A slab of material of dielectric constant  \(K\)  has the same area as the plates of a parallel-plate capacitor but has a thickness  \(\left(\frac 3 4\right)d\) , where  \(d\)  is the separation of the plates. How is the capacitance changed when the slab is inserted between the plates?
A simple microscope has a magnifying power of 3.0 when the image is formed at the near point (25 cm) of a normal eye. What is its focal length and what will be its magnifying power if the image is formed at infinity?

A network of four \(10\;\mathit{\mu F}\) capacitors is connected to a \(500\;V\) supply, as shown in figure. Determine the equivalent capacitance of the network.
A far-sighted person cannot see objects placed closer to 50 cm. Find the power of the lens needed to see the objects at 20 cm.
 Two charges \(2\;\mathit{\mu C}\) and \(-2\;\mathit{\mu C}\) are placed at \(A\) and \(B,6\;\mathit{cm}\)  apart. What is the direction of the electric field at every point on this surface?
A pin of length \( 2.0\;cm\) lies along the principal axis of a converging lens, the centre being at a distance of \( 11\;cm\) from the lens. The focal length of the lens is \( 6\;cm\). Find the size of the image.
A spherical conductor of radius \(12\;\text{cm}\)  has a charge of \(1.6\times 10^{-7}C\)  distributed
uniformly on its surface. What is the electric field inside the sphere?

Load More