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Chapter 4: Q15E (page 714)

In Example 21.3, calculate the net force on chargeq1

Short Answer

Expert verified

The net force on the charge q1is 18.0×10-5N.

Step by step solution

01

Step 1:

As q2exerting an attractive force on charge q1

And q3exerting a repulsive force in charge q1.

So, combining the two forces to find the net force exerted on q1.

02

Step 2:

Force by q2on q1is

F2=kq1q2r2

Here, K is 9.0×109N·m2/C2, r is the distance between q1and q2, r=2cm

q1=1.0nCand q2=3.0nC

Putting all these values

F2=9.0×109-3×10-91×10-90.022=6.75×10-5N

03

Step 3:

Force by q3on q1is

F3=Kq3q1r2

Here, q1=1.0nCandq3=5.0nC

Putting all these values

F3=9.0×1095×10-91×10-90.022=11.25×10-5N

So, the net force is

Fnet=F2+F3=6.75×10-9+11.25×10-9=18.0×10-5N

Hence, the Net force on the chargeq1 is 18.0×10-5N .

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