Answer to Question #314520 in Electricity and Magnetism for anna

Question

1. A beam of protons, each with charge 𝑞 ≅ 1.60 × 10−19𝐶, is moving at 4.50 × 105𝑚/𝑠 through a uniform magnetic

field with magnitude 0.60 T. The direction of motion of the protons is to the right, and the magnetic field direction is downward-right, at an angle of 𝜃 = 𝜋 6 𝑟𝑎𝑑𝑖𝑎𝑛𝑠 from the proton direction. Find the magnetic force acting on each

proton.

2. A straight copper wire carries a 6.0 A current from left to right in a region between the poles of large

electromagnet where a horizontal magnetic field directed at northeast with a magnitude of 2.10 T at 30 degrees

northeast. What is the magnetic force on a 2m section of a wire?

Answer 1

(a)Magnetic force

$F=qvBsin\theta$

Put value

$$F=1.6\times10^{-19}\times4.50\times10^5\times0.60\times sin30°$$

$F=2.16\times10^{-14}N$

(B)

Magnetic force

$F=IlBsin\theta$

$$F=6\times2\times2.10\times sin30°=12.6N$$