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Physics · Electrostatic Potential
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Physics · Electrostatic Potential
Inside a uniformly polarised dielectric slab, the net charge in any macroscopic volume element \( \Delta v \) is zero because:
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A conductor and a dielectric slab are placed separately in a uniform external electric field \( \mathbf{E}_0 \). If \( \mathbf{E}_{\text{in}} \) represents the induced electric field inside each material, the net electric field inside them satisfies:
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Given below are two statements: Statement I: The formula for electrostatic energy density \( u = \frac{1}{2} \varepsilon_0 E^2 \) is valid only for the uniform electric field between the plates of a parallel plate capacitor. Statement II: The permittivity of a dielectric medium is always smaller than the permittivity of free space. In the light of the above statements, choose the most appropriate answer from the options given below:
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If an arbitrary constant \( \alpha \) is added to the electrostatic potential energy at every point in space, what will happen to the potential energy difference \( \Delta U = U_P - U_R \) between two points P and R?
Read answer →Physics · Electrostatic Potential
An electric dipole of dipole moment \( p = 2 \times 10^{-8}\text{ C m} \) is placed in an electric field. At a point \( r = 1\text{ m} \) along the axis of the dipole, what is the magnitude of the electrostatic potential? (\( \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9\text{ N m}^2\text{ C}^{-2} \))
Read answer →Physics · Electrostatic Potential
A parallel plate capacitor is charged to a potential \( V \) by a battery. The battery is then disconnected and a dielectric slab of dielectric constant \( K \) is completely inserted between the plates. If the initial electrostatic energy stored was \( U_0 \), what is the work done by the external agent in inserting the slab slowly?
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Given below are two statements: Statement I: The total net charge on a parallel plate capacitor bearing charges \( +Q \) and \( -Q \) on its two plates is \( 2Q \). Statement II: The capacitance of a parallel plate capacitor is doubled if the separation between the plates is halved while maintaining the plate area constant. In the light of the above statements, choose the most appropriate answer from the options given below:
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Given below are two statements: Statement I: The potential at the center of a uniformly charged thin spherical shell is zero. Statement II: The electric field inside a uniformly charged thin spherical shell is zero. In the light of the above statements, choose the most appropriate answer from the options given below:
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A test charge \( q \) is moved slowly from a point R to a point P against a repulsive electrostatic force due to a source charge \( Q > 0 \). If the work done by the external force is \( W_{RP} \), the potential energy difference \( \Delta U = U_P - U_R \) is given by:
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Which represents the quantities involved in calculating the potential due to a dipole, if \( r \gg a \), the term \( r_1^2 \approx r^2 - 2ar\cos\theta \) is obtained by using:
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What is the ratio of potentials at a distance \( r \) from a point charge versus at distance \( 2r \) from the same point charge?
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Match List-I with List-II: List-I List-II A Electrostatic Force I Path independent work B Electrostatic Potential Energy II Dependent on arbitrary choice of zero reference C Work done by external agent III Equal to negative of work done by electric field D Electrostatic Potential IV Work done per unit positive test charge Choose the correct answer from the options given below:
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The electric field \( E \) at any point is related to potential \( V \) by \( E = -\frac{dV}{dr} \), meaning the electric field points in the direction of increasing potential. Reason (R): Work done by the electric field on a positive charge moving along the field decreases its potential energy. In the light of the above statements, choose the correct answer from the options given below:
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Aeroplane tyres are made of specially formulated rubber that is slightly conducting. Reason (R): Conducting tyres help dissipate the static charges accumulated on aircraft due to friction with air into the earth upon landing. In the light of the above statements, choose the correct answer from the options given below:
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When an isolated charged capacitor is connected to an identical uncharged capacitor, the total electrostatic energy stored in the two capacitors decreases by \( 50\% \). Reason (R): The total electric charge on the plates of the two capacitors decreases by \( 50\% \) during the sharing process. In the light of the above statements, choose the correct answer from the options given below:
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The electric potential at a point due to an electric dipole at a large distance \( r \) depends on the angle \( \theta \) between the position vector \( \mathbf{r} \) and dipole moment vector \( \mathbf{p} \) as:
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Which of the following pairs consists of a non-polar molecule and a polar molecule, respectively?
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The electric field just outside the surface of a charged conductor with local surface charge density \( \sigma \) is given by:
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The work done in bringing a unit positive test charge from infinity to a point in an electric field is defined as:
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A dielectric slab having electric susceptibility \( \chi_e = 3 \) is placed in a uniform external electric field \( E_0 \). What is the ratio of the net electric field \( E \) inside the slab to the external field \( E_0 \)?
Read answer →Physics · Electrostatic Potential
How does the electrostatic potential \( V \) due to a point charge vary with distance \( r \) compared to the electrostatic field magnitude \( E \)?
Read answer →Physics · Electrostatic Potential
Consider the following four statements regarding energy stored in a parallel-plate capacitor with plate area \( A \) and separation \( d \): (A) The electrostatic potential energy is stored in the electric field between the plates. (B) The volume of the region where the electric field exists is \( A d \). (C) The electrostatic energy density per unit volume is proportional to \( E^2 \). (D) Electrostatic force is non-conservative, which is why energy is dissipated when charges are built on the plates. How many of the above statements are correct?
Read answer →Physics · Electrostatic Potential
