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Class 12 Physics Chapter 1 Numericals NCERT । वैधुत द्विध्रुव के बलयुग्म के आघूर्ण | Board Exam 2024

UP Board Hindi Medium - Vidyakul・2 minutes read

Kishan Pandey introduces an education platform for UP Board, focusing on understanding electric charge, field concepts, and solving numerical problems related to electric dipoles and fields. The text emphasizes the importance of practicing numerical questions to strengthen problem-solving skills and highlights key formulas for calculating electric field intensity and force.

Insights

  • Understanding the concept of electric dipoles is crucial, as it involves charges of equal magnitude and opposite nature at a minimum distance, highlighting the significance of these characteristics in defining an electric dipole.
  • Practice and mastery of numerical problem-solving related to electric field intensity are essential, requiring a deep understanding of formulas and concepts like torque, force calculations, and the application of specific formulas for point charges to determine the direction and magnitude of the force accurately.

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Recent questions

  • How is torque defined in electric dipoles?

    Torque in electric dipoles is dependent on force and perpendicular distance, as illustrated with a door hinge example. It represents the rotational force experienced by a dipole in an electric field.

  • What is the significance of charge magnitude equality in an electric dipole?

    Charge magnitude equality in an electric dipole is crucial for defining its properties. It involves charges of equal magnitude and opposite nature at a minimum distance, highlighting the dipole's balanced nature.

  • How is the force on a dipole calculated in a uniform electric field?

    The force on a dipole in a uniform electric field is determined by calculating the perpendicular distance and force magnitude. This involves deriving the couple moment force and angle based on the force and distance.

  • What is the formula for calculating the force on a charge in an electric field?

    The formula for calculating the force on a charge in an electric field is Ta = P * sin(theta), where P represents the dipole moment and theta is the angle in the uniform electric field. It considers both maximum and minimum values of force.

  • Why is understanding the electric pole angle crucial in determining force?

    Understanding the electric pole angle is crucial in determining force as it affects the magnitude and direction of the force experienced by the charge. The angle plays a significant role in calculating the force acting on the charge accurately.

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Summary

00:00

"Understanding Electric Dipoles: Torque and Force"

  • Kishan Pandey introduces the education platform for UP Board, emphasizing the importance of revising classes.
  • The focus is on understanding the application of volume quality on a dipole and solving important numericals.
  • The discussion progresses to electric charge and field concepts, including Coulomb's law, vector form, and intensity due to a dipole.
  • The definition and arrangement of an electric dipole are explained, involving charges of equal magnitude and opposite nature at a minimum distance.
  • The significance of charge magnitude equality and opposite nature for defining an electric dipole is highlighted.
  • The concept of torque is introduced, dependent on force and perpendicular distance, illustrated with a door hinge example.
  • The property of a dipole in a uniform electric field is discussed, emphasizing the force experienced by a unit test charge as the electric field intensity.
  • The process of calculating the force on a dipole in a uniform electric field involves determining the perpendicular distance and force magnitude.
  • The derivation of the force acting on a dipole includes calculating the couple moment force and angle based on the force and perpendicular distance.
  • The final formula for the torque acting on a dipole is derived as Ta = P * sin(theta), where P represents the dipole moment and theta is the angle in the uniform electric field.

16:16

Calculating Force and Electric Field Intensity Basics

  • The formula for calculating force on a charge is Ta = P sine theta, with two conditions: maximum and minimum values.
  • To find the maximum force, set theta to 90 degrees, resulting in the highest force on the charge.
  • The maximum force is represented by Ta max = P at 90 degrees, indicating the maximum value of the force.
  • For the minimum force, when theta is 0 degrees, there is almost no force applied to the charge.
  • Understanding the conditions of the electric pole angle is crucial for determining force.
  • In numerical problem-solving, carefully read the question to grasp the given information.
  • Calculate the electric field intensity due to a helium nucleus at a distance of one angstrom.
  • The charge on the helium nucleus is 3.2 x 10^-19 coulombs, derived from the atomic number of helium.
  • The formula for electric field intensity is E = 9 x 10^9 x q / r^2, where q is the charge and r is the distance.
  • Practice numerical questions extensively to strengthen calculation skills and ensure accurate problem-solving.

30:48

Calculating Electric Field Intensity for Point Charges

  • The text discusses solving questions related to electric field intensity due to point charges.
  • It emphasizes the application of a specific formula for point charges to find the intensity of the electric field.
  • The formula involves calculating the value of A and the distance from the point charge.
  • The text provides a step-by-step process to find the value of A and the distance using the given charge and electric field intensity.
  • It highlights the importance of understanding the formula and applying it correctly to solve the questions.
  • The text encourages practicing numerical questions to strengthen understanding and improve problem-solving skills.
  • It stresses the need to analyze the given values and apply the formula accurately to determine the direction and magnitude of the force.
  • The text explains the process of finding the direction and magnitude of the force based on the given electric field intensity and charge values.
  • It clarifies the significance of identifying the charges and distances involved in calculating the resultant intensity at a specific point.
  • The text concludes by emphasizing the importance of understanding the common elements in the formula to derive the resultant intensity accurately.

45:41

Electric Charges and Fields Calculation Explanation

  • The common factor between the two is 10 to the power of minus 6, making e equal to 9 multiplied by 10.
  • The value left common in both is 10 to the power of minus 3.
  • Pa Paan will become 45 times 10 to the power of -6, with 10 to the power of 10 removed, resulting in 3 times 10 to the power of 3 coulombs.
  • To simplify, adding a zero after one digit when putting a decimal, the answer becomes 4.5 times 10 to the power of 4 coulombs.
  • The question involves electric charges of opposite nature at a distance of 2 meters, with equal distance generated at 4 meters, requiring the calculation of resulting electric fields.
  • The intensity at the midpoint of the line joining the charges is to be found, with the direction of the field indicated.
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