The end of a screwdriver is used to discharge a 10.1uF capacitor (see figure bel

Question

The end of a screwdriver is used to discharge a 10.1uF capacitor (see figure below), producing a spark and a large instantaneous current through the screwdriver. The potential difference across the capacitor is initially 400 V, and the resistance is 1.03x10^-4 along the path of the discharge.

-Find the instantaneous magnetic force on the screwdriver produced by the earth's magnetic field, indicated in the figure. Magnitude? Direction=into the page.

-Find the instantaneous magnetic force produced by a magnetic field of magnitude 2.10 T directed downward. Magnitude? Direction=into the page.

Explanation / Answer

0.5 gauss=5*10^-5 T

F=iLxB=iLBsin(60)=(400/1.0310^-4)*0.05*5*10^-5*sin(60) =10sin(60) =8.41N

The direction of force is into the page

b)For B=2T

F=iLxB=iLBsin(60)=(400/1.0310^-4)*0.05*2.1*sin(90) =4.08*10^5N

The direction of force is into the page

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