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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/(4πε0)q1q2rU=-180μJr=2cmε0=8.85×10-12C2/N×m2U=1/(4πε0)q1q2r-180μJ=1/(4πε0)q1q2rq1q2=-180μJ8.85×10-12C2/N×m22cm=-4×10-16C2

As per the basis of the question

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

Now, applying given value of q2in above equation

q2=-1×10-8C=-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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