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Chapter 25: Q.37 (page 711)

Two point charges 2.0 cm apart have an electric potential energy -180 mJ. The total charge is 30 nC. What are the two charges?

Short Answer

Expert verified

The charges value of two points are 40nC and -10nC

Step by step solution

01

Step  1: Definition the equation of the potential energy of  a  point 

For the Two charge points

U=1/(4蟺蔚0)q1q2rU=-180渭Jr=2cm蔚0=8.85脳10-12C2/N脳m2U=1/(4蟺蔚0)q1q2r-180渭J=1/(4蟺蔚0)q1q2rq1q2=-180渭J8.85脳10-12C2/N脳m22cm=-4脳10-16C2

As per the basis of the question

localid="1648127293201" q1=30脳10-9C-q2

Now, applying given value of q2in above equation

q2=-1脳10-8C=-10nC

02

Definition the equation of the potential energy of  two points

Applying the value of q2inq1equation

q1=40nC

The charges values of two points are 40 nC and -10 nC

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