The figure below shows two current carrying wires and the directions of the currents they carry. The wires carry the following currents: I1 = 7.1 A and I2 = 8.9 A. Wire 1 is at (0, 5.8) mm; wire 2 is at (15.1, 0) mm; point P is at (15.1, 5.8) mm. Wire 1 is pointing into the page, and wire 2 is pointing out of the page.
What are the magnitude and direction (measured with respect to the +x direction) of the total magnetic field due to the two wires at point P?
I used the equation B = (µoI)/(2ðR) to solve for each vector. Wire 1 produces a downward magnetic field on point P, and wire 2 produces a leftward magnetic field on point P. Then, I used the pythagorean theorem to solve for the net magnetic field. I found the net magnetic field to be 3.21E4 T and the direction to be 17.02 degrees, but this answer is incorrect. What am I doing wrong?
 👍
 👎
 👁
 ℹ️
 🚩
2 answers

First of all, thank you for showing your work. So few of the students do, despite out pleading. Thank you also for clearly describing the Figure that could not be shown.
It seems you went about the problem in the right way. The fields due to the two different wires at P are perpendicular, so the Pythagorean theorem should give the resultant.
I also abree with your individual B field directions, using the right hand rule.
The equation
B = (µo*I)/(2*pi*R)
is correct for the individual field contributions of each wire. Did you convert the distances R to meters? 👍
 👎
 ℹ️
 🚩
answered by drwls 
I used that equation to solve for the contributions from each wire. I accidently used the equation for magnetic field for a loop (instead of this wire equation) the first time I submitted the homework problem. The angle was incorrect the first time I submitted it too, but it is the same even after I corrected my error. I used the magnetic field components to solve for the angle. I did tan(theta) = B1/B2 to solve for the angle of the net magnetic field above the x axis. I must be doing that part wrong. Thank you very much for your help.
 👍
 👎
 ℹ️
 🚩
answered by Jessica
Answer this Question
Related Questions

Earth Science 6 B
Ocean Circulation Quick Check 1. Which explains how ocean currents affect global climates?(1 point) Water absorbs a lot of thermal energy and releases it all at once. Water absorbs a lot of thermal energy and releases it over time and distance. Water
 asked by yuh mama

SCIENCE
The Climate System Quick Check 1 of 4Items Assessment started: The Climate System Quick Check. Item 1 A student learns that ocean currents cannot exist without convection currents in the atmosphere. Which statement best explains the relationship between
 asked by lol

um hey i need help with this (SCIENCE) DX
like I said I need help, on................................................................................ The Climate System Quick Check 1. A student learns that ocean currents cannot exist without convection currents in the atmosphere. Which statement

Math
The lengths of three wires were 30m, 36 m and 84m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained.
 asked by Kd

Physics
The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of 4.50 A. The radius of crosssection A1 is 0.300 cm. (a)What is the magnitude of the current density across A1? A: 1.59155e2 using J=I/((r^2)pi) (b)
 asked by Tony

Vectors
A traffic sign is hanging from two wires. If the weight of the sign is 35 N, what are the tensions in the two wires as shown below? Traffic sign hanging by two wires, making an angle of 56 and 45
 asked by Sam

science
Why are there more warm currents than cold currents in oceans?
 asked by laura

Physics
A movingcoil instrument gives a fullscale deflection when the current is 40mA and its resistance is 25 Ω. Calculate the value of shunt to be connected in parallel with the metre to enable it to be used as an ammeter for measuring currents up to 50A
 asked by Anonymous

prealgebra
Figure B is the image of Figure A. Which description explains how Figure A was transformed to create figure B. A. Figure A was Reflected across a horizontal line of reflection to create Figure B. B. Figure A was rotated 180 ° about the point in the middle
 asked by :))

Physics
Calculate the magnitude of the magnetic ﬁeld at a point 43.6 cm from a long, thin conductor carrying a current of 1.24 A. The permeability of free space is 1.25664 × 10^−6 T · m/A. Answer in units of T
 asked by Like a Boss

English
Which of the following is a strong introductory sentence? A. Should each of the United States allow citizens to openly carry a weapon? B. I don’t agree with any opencarry laws. C. This essay will explain the opencarry laws in the United States. D. To
 asked by Jesica

physics
If two wires P and O each of the same length and same material,are connected in parallel to a battery. The diameter of P is half that of Q. What fraction of the total current passes through P?(a)0.2(b)0.25(c)0.33(d)0.5
 asked by Roy

phsics
The graph in Figure 1022 shows the force and displacement of an object being pulled. Figure 1022 (a) Calculate the work done to pull the object 7.0 m. 1150 J (b) Calculate the power that would be developed if the work was done in 2.4 s. Enter a number.2
 asked by Manny Aragon

physic
A long straight horizontal wire carries a current = 3.90 A to the left. A positive 1.00 C charge moves to the right at a distance 1.50 m above the wire at constant speed v = 5000 m/s. What is the magnitude of the magnetic field at the location of the
 asked by john

Physics
In Oersted's experiment, suppose that the compass was 0.30 m from the currentcarrying wire. If a magnetic field of 1/3 the Earth's magnetic field of 5 10−5 T was required to give a noticeable deflection of the compass needle, what current must the wire
 asked by Valerie

Physics
Use conservation of energy to determine the angular speed of the spool shown in Figure P8.36 after the 3.00 kg bucket has fallen 3.20 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it
 asked by Nicole

Science
Which best explains the relationship between ocean currents and convection currents
 asked by April

Chemistry
The figure (Figure 1) shows the reaction of element A (lavender spheres) with element B (tan spheres). Write the balanced chemical equation for this reaction in terms of A and B.
 asked by just need help

physics
A small sphere with a mass of 2.00×10−3 g and carrying a charge of 5.20×10−8 C hangs from a thread near a very large, charged insulating sheet, as shown in the figure . The charge density on the sheet is −2.40×10−9 C/m^2. Find the angle of the
 asked by canan

Calc 3
The figure below shows some level curves of a differentiable function f(x,y). Based only on the information in the figure, estimate the directional derivative: fu⃗(3,1) where u→=(−i+j)/sqrt(2)
 asked by ally
Still need help?
You can ask a new question or browse existing questions.