Science

PhysicsQ&A Library(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. (b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.Start your trial now! First week only $4.99!*arrow_forward*

Question

(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. (b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

Tagged in

Science

Physics

Find answers to questions asked by students like you.

Q: 1. A right triangle with base 15 cm and height 8 cm has charges at each corner. Find the electrostat...

A: Click to see the answer

Q: Two sitar strings A and B playing the note ‘Dha’ are slightly out of tune and produce beats of frequ...

A: Calculating the original frequency of B:

Q: question 3

A: Calculating the centre of mass of the given rod:

Q: How many coulombs of positive charge are there in 47.0 gm of plutonium, given its atomic mass is 244...

A: Mass of plutonium,

Q: In the figure above, charge A is -1.60 nC, charge B is 3.20 nC, and charge C is 3.20 nC. If x = 2.00...

A: Given:Side of rectangle (x) = 2.0 cm = 2.0×10-2 mSide of rectangle (y) = 1.0 cm = 1.0×10-2 mCharge q...

Q: The coefficient of volume expansion of glycerine is 49×10-5 K-1. What is the fractional change in it...

A: The expression for the volume expansion of the glycerine is

Q: Deaf people can be made to dance to music. Explain how?

A: Deaf people can be made to dance to music by,

Q: Explain the expanding Universe theory and its relationship to the Big Bang theory?

A: Big bang theory: According to the big bang theory, initially the universe was a very dense mass part...

Q: Expplain reflection of sound in an open pipe.

A: Reflection of sound wave:At the end of a tube, due to the impedance mismatch sound wave reflects.

Q: A load of mass m falls from a height h onto a scale pan hung from a spring . The scale pan starts to...

A: Mass of object = m.Height from which it is fallen in pan = h.Spring constant = k.

Q: Define viscosity.

A: Viscosity is the quantity that describes the flow of fluid resistance. Fluids resist the relative mo...

Q: At a depth of 2500 m in an ocean. what is the absolute pressure?

A: Click to see the answer

Q: What is the test for whether or not a moving object is in equilibrium?

A: If an object is at equilibrium, it means that the vector sum of all the forces acting on the body is...

Q: The density of the atmosphere at sea level is 1.29 kg/m3. Assume that it does not change with altitu...

A: Write the expression for atmospheric pressure in terms of height.

Q: Choose the BEST answer to the following: Compared with the Newtonian momentum p = mv, the momentum o...

A: When the objects travel with greater speeds comparable with the velocity of light, the relativistic ...

Q: Can anything be said about the acceleration of a particle that is moving at a constant speed? Give r...

A: Acceleration of an object is defined as its change in velocity with respect to time.

Q: Show that a moving particle will move in a straight line if the normal component of its acceleration...

A: Let the particle is initially moving in x-direction.Let a be the acceleration of particle, v be its ...

Q: Define moment of force (torque).

A: Moment of a force is defined as the turning effect of a force about a pivot point or the ability of ...

Q: A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gr...

A: let x be the distance where at which gravitational force is zero mean the force acting on the rocket...

Q: The triple points of neon and carbon dioxide are 24.57 K and 216.55 K respectively. Express these te...

A: From Kelvin to Celcius:

Q: A baseball thrown at an angle of 65.0 ∘∘ above the horizontal strikes a building 18.0 mm away at a p...

A: (a) Let v be the velocity of the baseball, vf be the final velocity, theta be the angle, s be the ho...

Q: Explain heat engine.

A: Heat Engine : A heat engine is a device that converts heat to work. It takes heat from a reservoir t...

Q: A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 °C. What is the cha...

A: Given that, the initial temperature is 27.0 °C, final temperature is 227 °C, and the Coefficient of ...

Q: A 25.0kg shell is fired from a 2100 kg cannon with a velocity of 500. m/s. what is the resulting vel...

A: GivenMass of the shell ms = 25.0 kgMass of the cannon mc = 2100 kgVelocity of the shell vs = 500 m/s

Q: What is the net electrostatic force on the charge Q3 (-50µC), due to charges Q1 (+68µC) and Q2 (+45µ...

A: the force due to the charge Q2 is,

Q: The speed is Great than, Least than, or Equal to, zero at 20 sec. The acceleration magnitude at 37 s...

A: The graph is shown below:

Q: Hi, The full question is found in the image file below. Hope you can help, Thanks, Dan

A: The net force due to each charge is same.

Q: Hi, The full question is found in the image attachment I included below. Hope you can help. Thanks, ...

A: Let q1 be the first charge located at origin, q2 be the second charge located at a distance d from t...

Q: Initial temperature hot water 69° C,Final temperature after adding cold water 48° C.Initial temperat...

A: (c) Let cp be the specific heat capacity of water, mc be the mass of the cold water, mh be the mass ...

Q: An observer standing at a sea coasts observes 54 waves reaching the coast per minute. If the wavelen...

A: The speed of the wave is

Q: What state of motion did Aristotle attribute to Earth?

A: Answer :Natural Motion

Q: A pipe, 30.0 cm long, is open at both ends. Which harmonic mode of the pipe resonates a 1.1 kHz sour...

A: Given:Length of pipe = 30 cm = 0.3 mFrequency = 1.1 kHz = 1100 HzSpeed of sound = 330 m/s

Q: A dielectric slab with thickness d, it is being inserted halfway into the capacitor (covering half t...

A: GivenThickness d = 0.5 c m = 0.5 x 10-2 mCross-sectional area A = 34 cm2 = 34 x 10-4 m2Dielectric co...

Q: Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the r...

A: It is given that the triple point of water in scale A=200ATriple point of water in scale B=350BThe t...

Q: Figure below shows a charge q1 (=+1.0 x 10-6 C) 10.0 cm from a charge q2 (= -1.0 x 10-6 C). Find th...

A: (a) Write the expression for electric field strength

Q: A particle is executing SHM has acceleration of 0.5cm/s2 when displacement is 2cm. Find the time per...

A: The relation between the acceleration of a object in simple harmonic motion is

Q: A certain rain cloud at an altitude of 1.75 km contains 3.20 x107 kg of water vapor. How long would...

A: Click to see the answer

Q: What kind of wave is possible in (a) liquids (b) gases?

A: Waves propagating in solids can either be longitudinal or transverse. However, waves propagating in ...

Q: A ball in the neck of an air chamber is temporarily pushed down. Derive an expression for the freque...

A: Click to see the answer

Q: Define Torque and angular momentum.

A: The term torque and angular momentum are commonly used while describing rotational motion of an obje...

Q: Show that for a particle in linear SHM , the average kinetic energy over a period of oscillation equ...

A: The displacement and velocity of a particle executing SHM is

Q: A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.50 ...

A: GivenDistance between the Sun and the Earth rearth =1.50 x 108 kmPeriod of Saturn = 29.5 x Period of...

Q: A 20 kW drilling machine is used to drill a bore in a small aluminium block of mass 8.0 kg. How much...

A: Given that, 50% of power is used up in heating the machine itself or lost to the surroundings. Then ...

Q: What experimental evidence is there for assuming that the speed of sound is the same for all the wav...

A: Experimental evidence is there for assuming that the speed of sound is the same for all the waveleng...

Q: In answer to the question, “When a plant grows, where does the material come from?” Aristotle hypoth...

A: The Aristotle’s hypothesis was wrong because when the plant grows, the nutrients comes from soil, wa...