Magnetic Effects Of Current Question 452
Question: A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segment PS, SR and RQ are $ F_{1} $ , $ F_{2} $ and $ F_{3} $ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is
Options:
A) $ \sqrt{{{(F_{3}-F_{1})}^{2}}-F_{2}^{2}} $
B) $ F_{3}+F_{1}-F_{2} $
C) $ F_{3}-F_{1}+F_{2} $
D) $ \sqrt{{{(F_{3}-F_{1})}^{2}}+F_{2}^{2}} $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] If $ F_{4} $ is the force on segment QP, then
$ \vec F_1+\vec F_2+\vec F_3+\vec F_4=0 $ and
$ \vec F_4$=$-(\vec F_1$+$\vec F_2$+$\vec F_3) $ or
$ F_{4}=\sqrt{{{(F_{3}-F_{1})}^{2}}+F_{2}^{2}.} $
BETA
