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Physics Part-I

Electric Charges and Fields

Suppose the spheres A and B in Exercise 1.12 have identical si

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

(a) Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. What is the mutual force of 2021–22 Electric Charges and Fields 47 electrostatic repulsion if the charge on each is 6.5 × 10–7 C? The radii of A and B are negligible compared to the distance of separation. (b) What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?

Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Question

Easy

Solving time: 4 mins

Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?

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Updated on: Oct 23, 2023

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Physics Part-I (NCERT)

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Text solutionVerified

Distance between the spheres, A and B, r

= 0.5 m

Initially, the charge on each sphere,

q = 6.5 \times 1 0^{- 7} C

When sphere A is touched with an uncharged sphere C, q/2 amount of charge from A will transfer to sphere C. Hence, charge on each of the spheres, A and C, is

q /2

.
When sphere

C

with charge

q /2

is brought in contact with sphere

B

with charge

q

, total charges on the system will divide into two equal halves given as,

\frac{1}{2} (q + \frac{q}{2}) = \frac{3 q}{4}

Hence, charge on each of the spheres,

C

and

B

, is

3 q /4

.
Force of repulsion between sphere A having charge q/2 and sphere B having charge

3 q /4

F = \frac{1}{4 π ε _{0}} \cdot \frac{q _{A} q _{B}}{r ^{2}} = \frac{1}{4 π ε _{0}} \cdot \frac{\frac{q}{2} \times \frac{3 q}{4}}{r ^{2}} = \frac{1}{4 π ε _{0}} \cdot \frac{3 q ^{2}}{8 r ^{2}} = \frac{9 \times 1 0 ^{9} \times 3 \times ( 6.5 \times 1 0 ^{- 7} ) ^{2}}{8 \times ( 0.5 ) ^{2}} = 5.703 \times 1 0^{- 3} N

Therefore, the force of attraction between the two spheres is

5.703 \times 1 0^{- 3} N

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Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Question Text	Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?
Updated On	Oct 23, 2023
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 6
Upvotes	684
Avg. Video Duration	10 min

Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?

Text solutionVerified

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Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?

Text solutionVerified

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