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Chapter 21: Q70P (page 609)

In Fig. 21-25, four particles form a square. The charges areq1=+Q,q2=q3=q, andq4=-2.00Q. What is qQif the net electrostatic force on particle 1 is zero?

Short Answer

Expert verified

The value of the net electrostatic force isqQ=12=0.707 .

Step by step solution

01

Given

The given data q1=+Q,q2=q3=q,andq4=鈭�2.00Q

02

Calculate qQif the net electrostatic force on particle 1 is zero

For the net force onq1=+Qto vanish, the x force component due tomust

exactly cancel the force of attraction caused byq4=鈭�2.00Q. Consequently,

Qq4蟺蔚0a2=Q|2Q|4蟺蔚0(2a)2cos(45掳)=Q24蟺蔚02a2

orq=Q2

This implies that :

qQ=12=0.707

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