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Chapter 4: Q33E (page 715)

A point charge is at the origin. With this point charge as the source point, what is the unit vectorr^in the direction of the field point (a) at x = 0, y = -1.35 m; (b) at x = 12.0 cm, y = 12.0 cm; (c) at x = -1.10 m, y = 2.60 m? Express your results in terms of the unit vectorsi^andj^.

Short Answer

Expert verified
  1. r^=−j^
  2. r^=22i^+22j^
  3. r^=−0.390i^+0.921j^

Step by step solution

01

Step 1:

As per the formula;

r^=r→|r→|r^=cosθi^+sinθj^r^=0i^−1.35j^02+(1.35)2=11.35(0i^−1.35j^)=−j^

02

Step 2:

θ=tan−1yx=tan−10.1200.120=π4r^=cosπ4i^+sinπ4j^r^=22i^+22j^

03

Step 3:

r^=−1.10i^+2.60j^(−1.10)2+(2.60)2=−0.390i^+0.921j^

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