(Please pretend that this problem has a very cool name)

Level pending

2 wires A and B run parallel to each other, 1 below the other, and both carry a current of 5 Amperes (also flowing parallel). They have a distance of 4mm between them. A charge R exists 6mm beneath the seconds wire (wire B).

The Magnetic Field that R experiences is 2.67E-x

What is the value of x?


The answer is 4.

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2 solutions

Rohan Chandra
Jan 18, 2014

This was really interesting ;)

Let length l = Current flowing in the wire and R = dist. bet. the specific charge and the wire.

Distance from Wire "A" = 10 1000 \frac{10}{1000} Distance from Wire "B" = 6 1000 \frac{6}{1000}

Provided, that the charge which experiences the magnetic field , B = ( 2 × 1 0 7 (2 \times 10^{-7} x l R ) \frac{l}{R})

Finally, B = ( 2 × 1 0 7 ) × ( 5 6 1000 ) (2 \times 10^{-7}) \times (\frac{5}{\frac{6}{1000}}) + 5 10 1000 ) \frac{5}{\frac{10}{1000}}) => 4 T e s l a \boxed{4 Tesla}

Raghav Dua
Jan 4, 2014

Magnetic Field experienced by a Charge:

B = ( 2 x 10^{-7} ) x (I / R), where I = Current flowing in the wire and R = the distance between the wire and the charge (in meters).

Distance from Wire A = (10 / 1000)m

Distance from Wire B = (6 / 1000)m

Using the Right Hand Thumb Rule, we realize that both the fields are going into the page. Thus, we must add the 2 magnitudes.

So, B = ( 2 x 10^{-7} ) x ( (5 / (6 / 1000)) + (5 / (10 / 1000))

which equals: 2.67E-4 Tesla into the page.

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