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When a conductor is connected to the Earth, its potential generally becomes equal to what?
Correct answer: A
The Earth acts as a very large charge reservoir. When a conductor is connected to the Earth, charge flows until the conductor reaches the same potential as the Earth. The Earth's potential is conventionally taken as zero. The conductor does not have to become negative; it becomes equal to the Earth's potential.
In which situation is a sustained flow of electric charge most likely?
Correct answer: A
Copper is a conductor and contains mobile free electrons. When an electric field is applied, these electrons acquire a drift motion, producing a sustained electric current. Dry rubber, glass, and plastic are insulators; they may undergo polarization, but they do not normally allow significant sustained charge flow.
What is the main property of a conductor in the context of electric current and electrostatics?
Correct answer: A
A conductor has free charge carriers, such as free electrons in metals. When an electric field is applied, these carriers can move and produce electric current. In electrostatics, they redistribute to establish electrostatic equilibrium. In contrast, charge carriers in an insulator cannot move freely.
How can an insulator become charged even though very little electric current flows through it?
Correct answer: A
During friction, electrons can be transferred between two materials, giving the insulator a net charge. Charge carriers cannot move freely in an insulator, so the transferred charge usually remains localized near the place where it was deposited. Unlike option D, immediate spreading of charge throughout an object is characteristic of a conductor, not an insulator.
In electrostatic equilibrium, if excess charge given to an object spreads over and remains on its outer surface, what type of material is the object most likely to be?
Correct answer: A
In electrostatic equilibrium, free charges in a conductor move until the electric field inside the conductor becomes zero. Hence, excess charge given to a conductor spreads over and remains on its outer surface. In an insulator, charges cannot move easily, so they generally remain near the place where they are deposited.
Why can a glass rod remain charged when it is rubbed with silk while being held with a dry hand?
Correct answer: A
Rubbing the glass rod with silk transfers electrons, so the rod can become charged. Glass is an insulator and dry skin has relatively high resistance; therefore, the charge does not quickly leak through the hand to Earth and can remain on the rod. In contrast, holding it through a conducting path or with a wet hand would allow charge to leak away more easily.
How long does charge redistribution continue in a metal conductor?
Correct answer: A
Free charges in a metal move and redistribute under the electric force. This process stops when electrostatic equilibrium is established. In this state, the electric field inside the conductor is zero and the potential is the same throughout the conductor. Unlike option B, the internal electric field at equilibrium is not maximum; it is zero.
In electrostatic equilibrium, must the surface charge density on a charged conductor be the same everywhere?
Correct answer: A
In electrostatic equilibrium, excess charge resides on the outer surface of a conductor, but the surface charge density
trac{dq}{dA}
need not be uniform. It is generally greater at sharper or more highly curved parts of the conductor. Option B can be true in special cases, such as an isolated spherical conductor, but it is not true for every conductor.
Why is the surface charge density higher at a pointed tip of a conductor in electrostatic equilibrium?
Correct answer: A
In electrostatic equilibrium, charge is not distributed uniformly over a conductor’s surface. Where the radius of curvature is small, such as at a pointed tip, the surface charge density is greater and the external electric field is stronger. Contrary to option D, the electric field just outside a pointed tip is not zero.
Metals are good conductors because they contain free electrons. A lightning conductor is installed on top of a building and connected to the Earth, so during lightning it provides a safe, low-resistance path for electric charge to reach the Earth, reducing the chance of damage to the building. Options B and D are incorrect because metals do not stop charge flow; they are conductors.
Why can a suitably closed metal-mesh enclosure with sufficiently small openings be used for electrostatic shielding?
Correct answer: A
A metal mesh is a conductor, so its free charges redistribute in response to an external electric field. The induced charges produce an electric field that opposes the external field inside the enclosure. In a closed mesh enclosure with sufficiently small openings, the resultant electric field inside can be nearly zero. Earthing may be useful, but the fundamental cause of shielding is charge redistribution in the conductor, not earthing alone.
A student says that charge always remains inside a conductor. What is the correct correction for an isolated conductor in electrostatic equilibrium?
Correct answer: A
In electrostatic equilibrium, free charges in a conductor redistribute until the electric field inside the conducting material becomes zero. Therefore, the excess charge of an isolated conductor resides on its outer surface. Option D is incorrect because excess charge does not spread uniformly through the conductor’s volume.
If a charged object is brought near a metal conductor connected to the Earth, what may happen due to induction?
Correct answer: A
The nearby charged object causes separation of charges in the metal conductor. Because the conductor is earthed, the induced potential difference can make electrons flow between the Earth and the conductor. The direction of electron flow depends on the sign of the external charge. Unlike option B, earthing does not make a metal lose its conductivity.
In which type of material are most charge carriers tightly bound to atoms, so that deposited excess charge does not redistribute readily?
Correct answer: A
In an insulator, electrons are generally tightly bound to atoms, so there are very few freely mobile charge carriers. Therefore, excess charge deposited at one place does not spread readily through the material. In contrast, a conductor has free electrons, so charge redistributes quickly.
In electrostatic equilibrium, the electric field throughout a metallic conductor is zero. What is the potential difference between any two points inside the conductor?
Correct answer: A
In electrostatic equilibrium, \(\vec{E}=0\) throughout the conductor. The potential difference is given by \(\Delta V=-\int \vec{E}\cdot d\vec{l}\). Therefore, the integral between any two points inside the conductor is zero, so \(\Delta V=0\). Hence, the potential is the same throughout a connected conductor. Option B is incorrect because a constant potential gives zero potential difference between two points.
Which option shows the correct use of an electrical insulator?
Correct answer: A
Rubber is an electrical insulator. Covering a metal wire with rubber prevents unintended current from reaching the body and reduces the risk of electric shock. In contrast, silver and copper are conductors, so gloves or shoes made from them would not provide electrical insulation.
When does a charged conductor reach electrostatic equilibrium?
Correct answer: A
In electrostatic equilibrium, free charges rearrange until the electric field inside the conductor becomes zero. There is then no net electric force on the charges, so their net motion stops. Option B is incorrect because a non-zero internal electric field would continue to move free charges. Exam tip: the electric field inside a conductor in electrostatic equilibrium is always zero.
In a conductor, free charge carriers, such as free electrons in metals, can move easily. Therefore, an applied electric field can produce electric current and cause charge redistribution. In an insulator, by contrast, most charges remain bound to their atoms or molecules.
In an insulator, electrons and other charge carriers are tightly bound to atoms, so they cannot move freely through the material. Therefore, an insulator does not allow electric current to flow easily. Options B and C describe conductors, while an insulator can hold electric charge on its surface, so D is incorrect.
After a conductor is charged, when does the net redistribution of free charges in it stop?
Correct answer: A
In a charged conductor, free charges redistribute as long as an electric field exists inside the conductor. At electrostatic equilibrium, the electric field inside the conductor is zero, so the net redistribution of free charges stops. The conductor need not have zero net charge; it may still retain a net charge.
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