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1. Multiple choice problem, the prompt is the following: Two wires carry currents is opposite directions, as shown below. The wires are separated by a distance of 0.02 meter, and points P and Q are located 0.01 meter above and below the bottom wire.
Compare the Magnetic field strength at point Q to the magnetic field strength at point P.
a. Bp=Bq
b. Bp= (1.2)Bq
c. Bp= (1/4)Bq
d. Bp= (1/9)Bq
e. Bp= 3Bq
2. I understand from a previous problem that the magnetic field at point P from the top wire is B=(10μ)/∏ (simplified from the equation B=(μI)/2∏r), but I'm having trouble understanding if the magnetic field strength at point Q should be from both of the wires or just the top wire.
3. My initial thought was to add the magnetic field due to the top wire and the magnetic field due to the bottom wire together to get the strength at point Q, but I'm not sure if my math is wrong or what, because I get B= (μ.2)/∏.06 from the bottom wire which simplifies to (μ(10/3))/∏. add that to what I got for the the magnetic field with a radius of .01 and you get (2μ(40/10))/2∏. I'm not sure if I'm going crazy because I'm tired or what, but please please please help me! Thank you so much!
Compare the Magnetic field strength at point Q to the magnetic field strength at point P.
a. Bp=Bq
b. Bp= (1.2)Bq
c. Bp= (1/4)Bq
d. Bp= (1/9)Bq
e. Bp= 3Bq
2. I understand from a previous problem that the magnetic field at point P from the top wire is B=(10μ)/∏ (simplified from the equation B=(μI)/2∏r), but I'm having trouble understanding if the magnetic field strength at point Q should be from both of the wires or just the top wire.
3. My initial thought was to add the magnetic field due to the top wire and the magnetic field due to the bottom wire together to get the strength at point Q, but I'm not sure if my math is wrong or what, because I get B= (μ.2)/∏.06 from the bottom wire which simplifies to (μ(10/3))/∏. add that to what I got for the the magnetic field with a radius of .01 and you get (2μ(40/10))/2∏. I'm not sure if I'm going crazy because I'm tired or what, but please please please help me! Thank you so much!