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45. A point charge of +2C is kept fixed at the o
rigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done?
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45. A point charge of +2C is kept fixed at the o... morerigin. Another...
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45. A point charge of +2C is kept fixed at the o... morerigin. Another...
Calculation of Electrostatic Potential Energy
Given:
Formula: Electrostatic potential energy (U) = k * q1 * q2 / r
where k = Coulomb's constant = 9 x 10^9 Nm^2/C^2
Substituting the given values, we get
U = (9 x 10^9) * 2 * 4 / 0.5
U = 72 x 10^9 J
Therefore, the electrostatic potential energy of the two charge system is 72 x 10^9 J.
Calculation of Work Done
Given:
Formula: Work done (W) = k * q1 * q3 / r1 + k * q2 * q3 / r2
where r1 and r2 are the distances between charge 1 and charge 3, and charge 2 and charge 3 respectively.
Substituting the given values, we get
W = (9 x 10^9) * 2 * 1 / 1 + (9 x 10^9) * 4 * 1 / 1
W = 54 x 10^9 J
Therefore, the work done to bring the charge 3 to a point distant 100 cm from each of these two charges is 54 x 10^9 J.
Explanation
When a charge is brought near another charge, it experiences an electrostatic force. The work done to bring the charge against this force is equal to the change in the electrostatic potential energy of the system. In the given problem, we first calculated the electrostatic potential energy of the two charge system using Coulomb's law. Then, we used the same law to calculate the work done to bring the third charge to a point distant 100 cm from each of the two charges.
Given:
- Charge 1, q1 = 2C
- Charge 2, q2 = 4C
- Distance between charges, r = 50 cm = 0.5 m
Formula: Electrostatic potential energy (U) = k * q1 * q2 / r
where k = Coulomb's constant = 9 x 10^9 Nm^2/C^2
Substituting the given values, we get
U = (9 x 10^9) * 2 * 4 / 0.5
U = 72 x 10^9 J
Therefore, the electrostatic potential energy of the two charge system is 72 x 10^9 J.
Calculation of Work Done
Given:
- Charge 3, q3 = 1C
- Distance between charges, r = 100 cm = 1 m
Formula: Work done (W) = k * q1 * q3 / r1 + k * q2 * q3 / r2
where r1 and r2 are the distances between charge 1 and charge 3, and charge 2 and charge 3 respectively.
Substituting the given values, we get
W = (9 x 10^9) * 2 * 1 / 1 + (9 x 10^9) * 4 * 1 / 1
W = 54 x 10^9 J
Therefore, the work done to bring the charge 3 to a point distant 100 cm from each of these two charges is 54 x 10^9 J.
Explanation
When a charge is brought near another charge, it experiences an electrostatic force. The work done to bring the charge against this force is equal to the change in the electrostatic potential energy of the system. In the given problem, we first calculated the electrostatic potential energy of the two charge system using Coulomb's law. Then, we used the same law to calculate the work done to bring the third charge to a point distant 100 cm from each of the two charges.
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45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done?
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45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about 45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done?.
45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about 45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done?.
Solutions for 45. A point charge of +2C is kept fixed at the o... morerigin. Another point charge of , +4C is brought from a far off point distant 50 cm from the origin. Calculate the electrostatic potential energy of this two charge system. Another charge of 1C is brought to a point distant 100 cm from each of these two charges (assumed to be kept fixed) What is the work done? in English & in Hindi are available as part of our courses for Class 12.
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