An infinite number of charges, each of charge, 1μC, are placed on the x-axis with co-ordinates x = 1, 2, 4, 8, ... ∞. If a charge of 1c is kept at the origin, then what is the net force acting on 1 C charge?a)9000 Nb)12000 Nc)24000 Nd)36000 NCorrect answer is option 'B'. Can you explain this answer?
Ref: https://edurev.in/question/559737/An-infinite-number-of-charges-each-of-charge-1C-are-placed-on-the-x-axis-with-co-ordinates-x-1-2
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FAQs on Calculating total force on 1C charge due infinite 1 micro coulomb charges - JEE
| 1. What is the formula to calculate the total force on a 1C charge due to infinite 1 micro coulomb charges? |  |
Ans. The formula to calculate the total force on a 1C charge due to infinite 1 micro coulomb charges is given by Coulomb's law, which states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as F = k * (q1 * q2) / r^2, where F is the force, q1 and q2 are the charges, r is the distance between them, and k is the electrostatic constant.
| 2. How can we determine the direction of the force on a 1C charge due to infinite 1 micro coulomb charges? | |
Ans. To determine the direction of the force on a 1C charge due to infinite 1 micro coulomb charges, we can use the principle of superposition. According to this principle, the net force on a charge due to multiple charges is the vector sum of individual forces. By considering the direction of each individual force and applying vector addition, we can determine the overall direction of the net force.
| 3. What would be the total force on a 1C charge if the distance between the charges is halved? | |
Ans. If the distance between the charges is halved, the total force on a 1C charge due to infinite 1 micro coulomb charges would increase by a factor of four. This is because the force is inversely proportional to the square of the distance, so reducing the distance by half would result in the force being four times stronger.
| 4. Can the total force on a 1C charge due to infinite 1 micro coulomb charges ever be zero? | |
Ans. No, the total force on a 1C charge due to infinite 1 micro coulomb charges will never be zero. According to Coulomb's law, the force between two charges is always non-zero unless one of the charges is zero. Since the infinite charges in this scenario are not zero, there will always be a non-zero force acting on the 1C charge.
| 5. How does the total force on a 1C charge change if the magnitude of the charges is doubled? | |
Ans. If the magnitude of the charges is doubled, the total force on a 1C charge due to infinite 1 micro coulomb charges would also double. This is because the force is directly proportional to the product of the magnitudes of the charges. Therefore, increasing the magnitudes of the charges would result in a proportional increase in the force.
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