find force between 2 charged spheres having charges 2×10^-7c and 3×10^-7c placed at 30 cm apart in air? Related: Electric Charges Introduction - Electric Charges and Field, Class 12, Physics

Question

find force between 2 charged spheres having charges 2×10^-7c and 3×10^-7c placed at 30 cm apart in air? Related:  Electric Charges Introduction - Electric Charges and Field, Class 12, Physics

Answer

Answer

Given, r=30cm=30×10^-2m.F=q1. q2 /4πE• r^2..F=9×10^9 ×2×10^-7 ×3×10^-7/(30×10^-2)^2...F=54×10^-5/9×10^2 ×10^-4)..F=6×10^-5/10^-2..F=6×10^-3 ..

Answer

0.006N

Answer

Electric Charges and Force Calculation

When two charged objects are placed near each other, they experience a force that is proportional to the product of their charges and inversely proportional to the square of the distance between them. This is known as Coulomb's law.

Formula for Coulomb's Law

The force between two charged spheres is given by the formula:

F = k(q1q2)/r^2

where F is the force, q1 and q2 are the charges of the two spheres, r is the distance between them, and k is the Coulomb's constant, which is equal to 9 x 10^9 Nm^2/C^2.

Calculation of Force

Given that the charges of the two spheres are 2 x 10^-7 C and 3 x 10^-7 C, and the distance between them is 30 cm or 0.3 m, we can calculate the force between them as follows:

F = (9 x 10^9 Nm^2/C^2) x (2 x 10^-7 C) x (3 x 10^-7 C) / (0.3 m)^2

F = 4.2 x 10^-4 N

Therefore, the force between the two charged spheres is 4.2 x 10^-4 N.

Conclusion

In conclusion, the force between two charged spheres can be calculated using Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. In this case, the force between the two spheres with charges of 2 x 10^-7 C and 3 x 10^-7 C placed 30 cm apart in air is 4.2 x 10^-4 N.

Answer

6× 10^-7

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