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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): The electric potential inside a charged conducting sphere is zero. Reason (R): The electric field inside a charged conductor is zero. 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): The dielectric constant \( K \) of any material medium can take any real value, including values less than 1. Reason (R): Dielectric constant \( K \) is defined as the ratio of the capacitance with dielectric \( C \) to the capacitance without dielectric \( C_0 \). In the light of the above statements, choose the correct answer from the options given below:
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The electric potential due to a short electric dipole at a distance \( r \) along its axial line varies as:
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A conductor has an internal cavity with no charges placed inside it. When the conductor is placed in a strong external electric field, the electric field inside the cavity 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): Sensitive electronic instruments are shielded from external electrostatic fields by enclosing them inside a hollow metallic box. Reason (R): The electrostatic field inside an empty closed metallic cavity is always zero, regardless of the size or shape of the cavity. 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 a point charge \( Q \) is positive if \( Q > 0 \) and negative if \( Q < 0 \). Statement II: Electrostatic potential is a vector quantity having both magnitude and direction. In the light of the above statements, choose the most appropriate answer from the options given below:
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Consider the following statements regarding electric potential: (A) Potential at a point due to a positive charge is positive. (B) Potential at a point due to a negative charge is negative. (C) Electric potential is a scalar quantity. (D) The unit of electric potential is Joule/Coulomb. Which of the above statements are correct?
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Consider the following statements regarding the properties of potential due to an electric dipole: (A) The potential at any point on the axial line of a dipole depends on both \( p \) and \( r \). (B) The potential on the equatorial plane of a dipole is zero. (C) At large distances, dipole potential falls off as \( 1/r^2 \). (D) Dipole potential is symmetric about the equatorial plane. How many of the above statements are correct?
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If the electric potential at any point in space is given by \( V = 3x^2 + 5 \), the magnitude of the electric field at point \( (1, 0, 0) \) is:
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Two charges \( q_1 \) and \( q_2 \) are placed at position vectors \( \mathbf{r}_1 \) and \( \mathbf{r}_2 \) in an external electric field with potential \( V(\mathbf{r}) \). If \( r_{12} \) is the separation between them, the total electrostatic potential energy of the system is:
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Calculate the potential at a point \( P \) due to a charge of \( 4 \times 10^{-7}\text{ C} \) located \( 9\text{ cm} \) away.
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The work done in moving a test charge over an equipotential surface is:
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In a parallel plate capacitor of finite plate area \( A \) and separation \( d \), the electric field lines bend outward at the edges ('fringing of the field'). Under what condition can this edge effect be safely ignored?
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Given below are two statements: Statement I: Electrostatic force is conservative, which allows the definition of electrostatic potential energy. Statement II: The work done by an external force in bringing a charge from infinity to a point equals the change in potential energy. 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 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, and the concept of potential energy is valid only for conservative forces. In the light of the above statements, choose the correct answer from the options given below:
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What is the electrostatic potential energy of a system of three charges \( q_1, q_2, \text{ and } q_3 \) located at positions \( \mathbf{r}_1, \mathbf{r}_2, \text{ and } \mathbf{r}_3 \) respectively?
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The dielectric strength of dry air is approximately \( 3 \times 10^6\text{ V}\cdot\text{m}^{-1} \). The maximum potential difference that can be maintained between two parallel plates separated by an air gap of \( 2\text{ mm} \) without dielectric breakdown is:
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An equipotential surface is a surface with a constant value of potential at all points. Which of the following statements is correct regarding equipotential surfaces?
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Four charges are arranged at the corners of a square ABCD of side \( d \), with \( +q \) at A and C, and \( -q \) at B and D. The total electrostatic potential energy of this configuration is:
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Given below are two statements: Statement I: The dimensions of electric potential are \( [M L^2 T^{-3} A^{-1}] \). Statement II: Electric potential is a vector quantity. In the light of the above statements, choose the most appropriate answer from the options given below:
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An electric dipole is placed in space. If we move along a cone centered on the dipole axis keeping the angle \( \theta \) fixed, the electric potential at all points on the generated cone is:
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Given below are two statements: Statement I: If a point charge is moved from one point to another on an equipotential surface, the work done is zero. Statement II: The electric field is always parallel to an equipotential surface. In the light of the above statements, choose the most appropriate answer from the options given below:
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