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Physics · Electrostatic Potential
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Physics · Electrostatic Potential
Given below are two statements: Statement I: In a series combination of capacitors, the reciprocal of the equivalent capacitance equals the sum of the reciprocals of the individual capacitances. Statement II: In a parallel combination of capacitors, the potential difference across each individual capacitor is identical. 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 work required to separate two opposite charges \( +q \) and \( -q \) from an initial finite distance to infinity is positive. Statement II: The mutual electrostatic potential energy of two like charges is negative. In the light of the above statements, choose the most appropriate answer from the options given below:
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What is the potential due to a point charge \( Q = +5\text{ \mu C} \) at a distance \( r = 0.5\text{ m} \) from the charge?
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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): In an external electric field \( \mathbf{E} \), the potential energy of a single point charge \( q \) is \( qV(\mathbf{r}) \), whereas that of an electric dipole \( \mathbf{p} \) is \( -\mathbf{p}\cdot\mathbf{E} \). Reason (R): An electric dipole experiences a net translational force in any non-zero electric field. In the light of the above statements, choose the correct answer from the options given below:
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The electric field between two plates of a parallel plate capacitor is \( E \). If the separation between the plates is doubled and the space is completely filled with a medium of dielectric constant \( K = 3 \) while keeping the charge on the plates unchanged, the new electrostatic energy density in the region between the plates becomes:
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The relation between electric field \( \mathbf{E} \) and electric potential \( V \) is given by:
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A uniformly charged thin spherical shell of total charge \( q \) and radius \( R \) has an electric potential at an internal point at a distance \( r \) (\( r < R \)) equal to:
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The electrostatic potential energy \( U \) of a system of two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r_{12} \) in vacuum is expressed as:
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Consider the following statements regarding the combinations of capacitors: (A) In a series combination of \( n \) capacitors, the effective capacitance is always smaller than the smallest individual capacitance. (B) In a parallel combination of \( n \) capacitors, the charge on each capacitor is strictly identical irrespective of their capacitance values. (C) In a series combination, the sum of the potential drops across individual capacitors equals the total applied potential difference. (D) In a parallel combination, the equivalent capacitance is the arithmetic sum of the individual capacitances. Which of the above statements are correct?
Read answer →Physics · Electrostatic Potential
A short electric dipole with dipole moment \( \mathbf{p} \) is placed at the origin. The electric potential at a point \( P \) located at a distance \( r \) from the origin, where the position vector makes an angle \( \theta \) with the dipole moment vector, is given by:
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If the electrostatic potential at a distance \( r \) from a point charge is \( V \), then the work done by an external agency in slowly bringing a test charge \( q_0 \) from infinity to that point is equal to:
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Consider the following statements regarding electrostatic shielding: (A) A closed conductor shields its internal cavity from all external electric fields. (B) The electric field inside an empty cavity within a conductor depends strictly on the curvature of the outer surface. (C) Even if a conductor carries excess charge, the electric field inside its empty cavity remains zero. (D) In electrostatic shielding, lines of force pass straight through the cavity without any deflection. How many of the above statements are correct?
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If the distance \( r \) from a point charge is doubled, how does the electrostatic potential due to the charge change?
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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): Electrostatic force is a conservative force. Reason (R): Work done by electrostatic force in moving a charge around a closed path is zero. In the light of the above statements, choose the correct answer from the options given below:
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A substance contains 1 mole of molecules, each having a permanent dipole moment of \( 10^{-29}\ \text{C}\cdot\text{m} \). The sample is polarised by an electric field of \( 10^6\ \text{V}\cdot\text{m}^{-1} \) aligned with the field. The direction of the field is suddenly rotated by \( 60^\circ \). Assuming \( 100\% \) polarisation, the heat released by the substance when dipoles realign with the new field is: (Given \( N_A = 6 \times 10^{23} \))
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Given below are two statements: Statement I: The dielectric constant \( K \) of a substance is a dimensionless ratio defined as \( \frac{\varepsilon}{\varepsilon_0} \). Statement II: When a dielectric slab completely fills the space between the plates of a parallel-plate capacitor, the electric field between the plates increases by a factor of \( K \) when the capacitor is isolated from the battery. 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: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The potential at any point due to an electric dipole can be zero even when the electric field at that point is non-zero. Reason (R): The potential due to a dipole varies inversely with the square of the distance. In the light of the above statements, choose the correct answer from the options given below:
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A \( 600\text{ pF} \) capacitor is charged by a \( 200\text{ V} \) supply. It is then disconnected from the supply and connected to another uncharged \( 600\text{ pF} \) capacitor in parallel. The electrostatic energy lost as heat and electromagnetic radiation in the process is:
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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 absolute value of potential energy at a point is physically significant. Reason (R): Only changes in potential energy have physical significance. 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: Statement I: Vehicles carrying inflammable materials usually have metallic chains touching the ground during motion. Statement II: On a rainy day with high humidity, a plastic comb run through dry hair attracts bits of paper more strongly than on a dry day. 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 superposition principle applies to electrostatic potential, meaning the total potential at a point due to a group of charges is the algebraic sum of potentials due to individual charges. Statement II: Electrostatic potential energy can be assigned to a single charge in an external electric field without needing the source charges. 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 work done in charging an uncharged capacitor to a charge \( Q \) and potential difference \( V \) is completely converted into electrostatic potential energy with zero dissipation. Statement II: When an isolated charged capacitor is connected to an uncharged identical capacitor, half of the initially stored electrostatic energy is always dissipated, independent of the connecting wire's resistance. In the light of the above statements, choose the most appropriate answer from the options given below:
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