Solution: Given: Velocity of the electron, $\mathrm{v}_{\mathrm{x}}=2.0 \times 10^{6} \mathrm{~m} \mathrm{~s}^{-1}$ Separation between the plates, $d=0.5 \mathrm{~cm}=0.5 \times 10^{-2} \mathrm{~m}$...

b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart. Solution: a) Assume that the equilibrium is at a state of stability....

Solution: Given, the net charge of a proton is +e. The value +e can be got when $p=\left(\frac{2}{3}+\frac{2}{3}-\frac{1}{3}\right) e$ The net charge of a neutron is 0 . This can be got when...

Solution:Consider the case of a long thin wire with a uniform linear charge density of 0 to 1. At r from the middle C of the wire, a point P is marked on the wire. The electric field produced by the...

Solution: If we assume that the hole has been filled, then Gauss's formula may be used to calculate the electric field intensity at a location near to the surface of the conductor, where Flux,...

Solution: (a) Within the conductor that encloses the hollow, a Gaussian surface is taken into consideration. Within the conductor, the electric field strength (E) will be 0, indicating that it is...

Answer: Total dipole moment of the system, p=q×dl=−10−7 cm The rate of increase of the magnitude of the electric field along the positive z-direction = 105 NC–1 per metre. The...

Solution:a.      In the first case, the field lines are not parallel to the conductor's surface. As a result, it does not correspond to electrostatic field lines at...

Solution: Given: Excess electron on an oil drop, $n=12$ Electric field intensity, $E=2.55 \times 10^{4} \mathrm{NC}^{-1}$ Density of oil, $\rho=1.26 \mathrm{~g} \mathrm{~cm}^{-3}$ Acceleration due...

What is E: (a) In the outer region of the first plate, (b) In the outer region of the second plate, and ( c) between the plates? Solution: As seen in the accompanying illustration, the scenario...

Solution: The electric field produced by infinite line charges at a distance $d$ with linear charge density $\lambda$ is given by the relation, where is the distance in metres. $E=\frac{\lambda}{2...

(a) Find the charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? Solution: (a) Given: The diameter of the sphere, $d=2.4 \mathrm{~m}$ The radius of the...

Solution: The strength of the electric field ( $E$ ) at a distance ( $d$ ) from the centre of a sphere holding net charge ( $q$ ) may be calculated using the following relationship: $E=\frac{1}{4...

(a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? (b) What is the value of the point charge? Solution: (a)Given: Electric flux, $\Phi=-1.0 \times...

( Hint : Think of the square as one face of a cube with edge $10 \mathrm{~cm}$ ) Solution:One way to think of the square is as one of the faces of a cube with an edge and a centre where the charge...

Solutions: (a)Given:  Net outward flux through the surface of the box, $\varphi=8.0 \times 10^{3} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{C}$ Concept: For a body containing net charge $q$, flux...

Solution: The faces of a cube are all parallel to the coordinate axes on both sides of the object. So the number of field lines entering the cube is equal to the number of field lines piercing...

(a) What is the flux of this field through a square of $10 \mathrm{~cm}$ on a side whose plane is parallel to the y $z$ - plane? (b) What is the flux through the same square if the normal to its...

We can see that particles 1 and 2 are traveling in the direction of the positive charge, and we know that opposing charges attract and identical charges repel. As a result, we may say that the...

Solution: Given: Distance between the spheres, $A$ and $B, r=0.5 \mathrm{~m}$ Initially, the charge on each of sphere $q=6.5 \times 10^{-7} C$ Concept and Calculation: When the sphere is contacted...

Solution: i) Given: Charge on sphere $\mathrm{A}, q_{A}=6.5 \times 10^{-7} C$ Charge on sphere $\mathrm{B}, q_{B}=6.5 \times 10^{-7} \mathrm{C}$ Distance between the spheres, $r=50 \mathrm{~cm}=0.5...

Solution: (i) Because the wool is positively charged and the polythene is negatively charged, we can state that only a small number of electrons are transported from wool to polythene during the...

Solution: Given: Electric dipole moment, $p=4 \times 10^{-9} C m$ Angle made by $p$ with a uniform electric field, $\theta=30^{\circ}$ Electric field, $E=5 \times 10^{4} N C^{-1}$ Concept: Torque...

Solution: Given: The charges which are located at the given points are shown in the co-ordinate system as At point $\mathrm{A}$, charge, $q_{A}=2.5 \times 10^{-7} C$ At point $B$, charge,...

i) Given: Charges: qA = 3 µC qB= –3 µC Distance between them = 20 cm Diagrammatic representation of the above question is: Concept: An electric field is a physical field that surrounds...

(ii) Explain why two field lines never cross each other at any point. Answer: i) It is true that when a charge is placed in an electrostatic field, it will experience a constant force. As a result,...

Solution: The square that was described in the inquiry is seen in the illustration above. Four charges are put in the corners of the squares on each side of the squares with a 10 cm side. And the...

Answer: Whenever two bodies are rubbed against one other, a charge develops on both of the bodies involved. These charges are identical in magnitude but diametrically opposed in type. Charging by...

(ii) Why can one ignore quantization of electric charge when dealing with macroscopic i.e., large-scale charges? Solution i) "It is quantized" in the sense that only integral (1,2,…. n) numbers of...

Solution: We know that the ratio to be determined is given as follows: $\frac{k e^{2}}{G m_{e} m_{p}}$ where $G$ is the gravitational constant in $N \mathrm{~m}^{2} \mathrm{~kg}^{-2}$ $m_{e}$ and...

Solution: a. Given: The charge on $1^{\text {st }}$ sphere $\left(q_{1}\right)$ and $2^{\text {nd }}$ sphere $\left(q_{2}\right)$ is $0.4 \mu C$ or $0.4 \times 10^{-6} C$ and $-0.8 \times 10^{-6}...

Solution: Given: The Charge on the $1^{\text {st }}$ sphere, $q_{1}=2 \times 10^{-7} \mathrm{C}$ The Charge on the  $2^{\text {nd }}$ sphere, $q_{2}=3 \times 10^{-7} \mathrm{C}$ The distance...