What is the magnitude of the net force on the

hisyhauttaq84w

hisyhauttaq84w

Answered question

2022-04-06

What is the magnitude of the net force on the first wire in (Figure 1)?
What is the magnitude of the net force on the second wire in (Figure 1)?
What is the magnitude of the net force on the third wire in (Figure 1)?
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Answer & Explanation

Emmy Sparks

Emmy Sparks

Beginner2022-04-07Added 17 answers

Step 1
From the diagram, you can see that wire 1 has an attracting force from wire 3 at 0.04 m distance and a repelling force from wire 2 at 0.02 m distance.
Expression of the force is
F = μ × I 1 × I 2 × L 2 π d
When d = 0.02 m ,
F = 4 × π × 10 7 × 10 × 0.50 2 × π × 0.02 = 0.00025 N
And when d = 0.04 m ,
F = 4 π × 10 7 × 10 × 10 × 0.50 2 π × 0.04 = 0.00025 N
a) So, the net force on wire 1 = 0.005 0.00025 = 0.00025 N repelling, or upward.
b) Wire 2 has equal repelling forces from wires 1 and 3, so net force = 0
c) By symmetry, the net force on wire 3 is the same means, 0.00025 N, but downward direction.

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