Concept explainers
One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of −2.00 μC is moving with a velocity of
(a)
The location where total magnetic field is zero.
Answer to Problem 14P
The location where total magnetic field is zero is
Explanation of Solution
Given info: Current flowing through the first wire is
Formula to calculate magnetic field due to first wire is,
Here,
Formula to calculate magnetic field due to second wire is,
Here,
Total magnetic field given by both wire is,
Substitute
Substitute
Substitute
Thus, the location where total magnetic field is zero is
Conclusion:
Therefore, the location where total magnetic field is zero is
(b)
The magnitude of vector magnetic force.
Answer to Problem 14P
The magnitude of vector magnetic force is
Explanation of Solution
Given info: charge on particle on particle is
Formula to calculate total magnetic field is,
Substitute
Formula to calculate force acting on particle is,
Here,
Substitute
Hence, magnitude of vector magnetic force is
Conclusion:
Therefore, magnitude of vector magnetic force is
(c)
The magnitude of vector electric field.
Answer to Problem 14P
The magnitude of vector electric field is
Explanation of Solution
Formula to calculate electric field is,
Here,
Substitute
Hence, magnitude of vector electric field is
Conclusion:
Therefore, magnitude of vector electric field is
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