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Chapter 22: Q. 43 (page 625)

What is the force F鈫�on the 5.0nCcharge in FIGURE P22.43? Give your answer as a magnitude and an angle measured cw or ccw (specify which) from the x-axis.

Short Answer

Expert verified

The value of force is 20.2脳10-5Nand the angle is45掳.

Step by step solution

01

Force for y-axis

Force is,

Fy=14蟺系o脳q1q3r2蝉颈苍胃

=9脳109脳10脳10-9C5脳10-9C5脳10-2m2脳45

Fy=14.4脳10-5N(-j)

02

Calculation for force on x axis

Force is,

Fx=14蟺系oq2q3r322-q1q3r132肠辞蝉胃

=9脳109脳(5)nc(5)nc9cm-35脳(10)nc(5)nc25cm脳10-1810-4

Fx=14.2脳10-5N(i)

03

Figure for force in all axis

04

Calculation of overall force

Force is,

Fnet=Fx2+Fy2

=(14.2N)2+(14.4N)2脳10-5

Fnet=20.2脳10-5N

Angle is,

胃=tan-1-14.4N14.2N脳10-310-3

=-45掳

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