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Physics · Electrostatic Potential
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Physics · Electrostatic Potential
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Electrostatic energy stored in a charged capacitor resides entirely in the electric field localized in the space between the plates. Reason (R): Energy density of an electrostatic field \( E \) in a vacuum is given by \( u = \frac{1}{2} \varepsilon_0 E^2 \). In the light of the above statements, choose the correct answer from the options given below:
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Four identical capacitors, each of capacitance \( C = 12\, \mu\text{F} \), are arranged such that three of them are in series, and the fourth is placed in parallel across this entire series combination. What is the equivalent capacitance of the network?
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A point charge \( Q \) is located at the origin. The work done by an external agent in slowly moving a test charge \( q \) from point \( r_1 \) to \( r_2 \) along a radial line (\( r_2 > r_1 \)) is proportional to:
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Given below are two statements: Statement I: Dielectric breakdown of an insulating medium occurs when the electric field exceeds its dielectric strength, rendering the medium conducting. Statement II: The dielectric strength of dry air at standard conditions is approximately \( 3 \times 10^4\text{ V}\cdot\text{m}^{-1} \). In the light of the above statements, choose the most appropriate answer from the options given below:
Read answer →Physics · Electrostatic Potential
An isolated capacitor holds a charge \( Q \) when connected across a potential difference \( V \). If the charge on the capacitor is doubled to \( 2Q \), its capacitance \( C \) will:
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Match List-I with List-II: List-I List-II A Potential due to point charge I \( \propto \frac{1}{r^2} \) B Potential due to short dipole (axial) II \( \propto \frac{1}{r} \) C Electric field due to point charge III Zero work done D Movement on equipotential surface IV \( \propto \frac{1}{r^2} \) Choose the correct answer from the options given below:
Read answer →Physics · Electrostatic Potential
If the distance \( r \) from an electric dipole is very large compared to its length \( 2a \) (\( r \gg a \)), how does the electrostatic potential \( V \) vary with distance \( r \)?
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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 at any point on the surface of a charged conductor is \( \mathbf{E} = \frac{\sigma}{2\varepsilon_0}\mathbf{\hat{n}} \). Reason (R): Charges inside a conductor move to the outer surface to minimize their mutual electrostatic potential energy. In the light of the above statements, choose the correct answer from the options given below:
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An electric dipole consists of two charges \( q \) and \( -q \) separated by a small distance \( 2a \). The dipole moment is \( p = q \times 2a \text{ \hat{p}} \). At a point far away from the dipole (\( r \gg a \)), the electrostatic potential \( V \) varies with distance \( r \) as:
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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 work done by an electrostatic field in moving a charge from one point to another depends only on the initial and final points and is independent of the path taken. Reason (R): Electrostatic force is a conservative force. 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: The potential due to an electric dipole depends not only on \( r \) but also on the angle between the position vector \( \mathbf{r} \) and the dipole moment vector \( \mathbf{p} \). Statement II: At the equatorial position of an electric dipole, the electrostatic potential is maximum in magnitude. In the light of the above statements, choose the most appropriate answer from the options given below:
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A solid metallic conductor of arbitrary shape carries an excess charge \( Q \). In electrostatic equilibrium, the net charge contained inside any Gaussian surface entirely within the body of the conductor is:
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Which of the following fundamental characteristics is possessed by an electrostatic field due to any arbitrary charge configuration?
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Three capacitors of capacitances \( 2\, \mu\text{F} \), \( 3\, \mu\text{F} \), and \( 6\, \mu\text{F} \) are connected in series across a \( 120\text{ V} \) DC source. The potential difference across the \( 2\, \mu\text{F} \) capacitor is:
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At an equatorial point of an electric dipole, the electrostatic potential is:
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Given below are two statements: Statement I: The potential energy of an electric dipole of moment \( \mathbf{p} \) in an external uniform electric field \( \mathbf{E} \) is minimum when \( \mathbf{p} \) is aligned antiparallel to \( \mathbf{E} \). Statement II: The torque experienced by an electric dipole is zero when it is oriented either parallel or antiparallel to the field. In the light of the above statements, choose the most appropriate answer from the options given below:
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Consider the following properties of an electric dipole potential: (A) Potential varies inversely as \( r^2 \). (B) Potential is maximum along the axial line where \( \theta = 0^\circ \) or \( 180^\circ \). (C) Potential is zero along the equatorial line (\( \theta = 90^\circ \)). (D) Potential depends directly on the magnitude of vector \( \mathbf{r} \). Which of the above statements are correct?
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The electrostatic potential \( V \) at a distance \( r \) from a point charge \( Q \) is given by \( V(r) = \frac{Q}{4\pi\varepsilon_0 r} \). For a negative point charge (\( Q < 0 \)), which of the following statements is true?
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Consider the following statements regarding electrostatic potential: (A) Electrostatic potential at a point is equal to the work done by an external force in bringing a unit positive charge from infinity to that point without acceleration. (B) The unit of electrostatic potential is Joule per Coulomb (\( \text{J C}^{-1} \)) or Volt. (C) Electrostatic potential depends on the magnitude of the test charge \( q \) used to define it. (D) Potential at any point due to a positive charge is positive, and due to a negative charge is negative. Which of the above statements are correct?
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Given below are two statements: Statement I: Potential energy of a system of charges is independent of the path followed in bringing the charges to their respective positions. Statement II: Electrostatic force is non-conservative. 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 net electrostatic field inside a conductor placed in a static external electric field is always zero. Reason (R): The free charge carriers in the conductor redistribute themselves until the electric field produced by induced surface charges exactly cancels the external field inside the conductor. In the light of the above statements, choose the correct answer from the options given below:
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Consider the following statements regarding a parallel plate capacitor: (A) The capacitance \( C \) increases when the area of the plates is increased. (B) The capacitance \( C \) depends on the potential difference \( V \) applied across the plates. (C) The electric field between the plates is uniform away from the edges when \( d^2 \ll A \). (D) The SI unit of capacitance is equivalent to \( \text{C}\cdot\text{V}^{-1} \). How many of the above statements are correct?
Read answer →Physics · Electrostatic Potential
