# What is the Force Between Two Small Charged Spheres - Physics

Numerical

What is the force between two small charged spheres having charges of 2 × 10−7 C and 3 × 10−7 C placed 30 cm apart in air?

#### Solution

Repulsive force of magnitude 6 × 10−3 N

Charge on the first sphere, q1 = 2 × 10−7 C

Charge on the second sphere, q2 = 3 × 10−7 C

Distance between the spheres, r = 30 cm = 0.3 m

Electrostatic force between the spheres is given by the relation,

F=(q_1q_2)/(4piin_0r^2)

Where, ∈0 = Permittivity of free space

1/(4piin_0)=9xx10^9 Nm^2C^-2

F=(9xx10^9xx2xx10^-7xx3xx10^-7)/((0.3)^2)=6xx10^-3N

Hence, the force between the two small charged spheres is 6 × 10−3 N. The charges are of the same nature. Hence, the force between them will be repulsive.

Concept: Superposition Principle - Forces Between Multiple Charges
Is there an error in this question or solution?

#### APPEARS IN

NCERT Physics Part 1 and 2 Class 12
Chapter 1 Electric Charges and Fields
Exercise | Q 1.1 | Page 46
NCERT Class 12 Physics Textbook
Chapter 1 Electric Charge and Fields
Exercise | Q 1 | Page 46
Share