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Karnataka Board PUCPUC Science Class 11

A Charge of 1.0 C is Placed at the Top of Your College Building and Another Equal Charge at the Top of Your House. Take the Separation Between the Two Charges to Be 2.0 Km. - Physics

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Question

A charge of 1.0 C is placed at the top of your college building and another equal charge at the top of your house. Take the separation between the two charges to be 2.0 km. Find the force exerted by the charges on each other. How many times your weight is this force?

Short Note

Solution

Given:
q1 = q2 = q = 1.0 C
Distance between the charges, r = 2 km = 2 × 103 m
By Coulomb's Law, electrostatic force, 

\[F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}\]
\[F = 9 \times {10}^9 \times \frac{1 \times 1}{\left( 2 \times {10}^3 \right)^2}\]
\[ = 2 . 25 \times {10}^3 N\] 

Let my mass, m, be 50 kg.
Weight of my body, W = mg
⇒ W = 50 × 10 N = 500 N
Now,
\[\frac{\text { Weight of my body }}{\text{ Force between the charges }} = \frac{500}{2 . 25 \times {10}^3} = \frac{1}{4 . 5}\]

So, the force between the charges is 4.5 times the weight of my body.

 

 

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Chapter 7: Electric Field and Potential - Exercises [Page 121]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 7 Electric Field and Potential
Exercises | Q 2 | Page 121

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