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  • Currents of 3A,1A and 2A flow through the long, Straight and parallel conductors a, b and c respectively as shown: A length 0.5m of wire b experiences a force if<

Currents of 3A,1A and 2A flow through the long, Straight and parallel conductors a, b and c respectively as shown: A length 0.5m of wire b experiences a force if

Option: 1

5 \times 10^{-6} \mathrm{~N}, Left to right


Option: 2

5 \times 10^{-6} \mathrm{~N}, Right to Left


Option: 3

10 \times 10^{-6} \mathrm{~N}, Right to Left


Option: 4

5 \times 10^{-6} \mathrm{~N}, Left to Right


Answers (1)

best_answer

Force between the conductors a and b
F=\frac{\mu_0}{4 \pi} \times \frac{2 i_1 i_2}{\gamma} \times 0.5=100 \times 10^{-7} \mathrm{~N} / \mathrm{m}                                                                  (Toward Right)
Force between the conductors. C and L

F_2=\frac{\mu_0}{4 \pi} \times \frac{2 \times 2 \times 1}{4 \times 10^{-2}} \times 0.5=50 \times 10^{-7} \mathrm{~N} / \mathrm{m}                                                               (Toward Left)

so F_1-F_2=\left(100 \times 10^{-7}-50 \times 10^{-7}\right) \mathrm{N} / \mathrm{m}                                                             toward left to right

                  =50 \times 10^{-7} \mathrm{~N} / \mathrm{m}   toward right

Posted by

shivangi.bhatnagar

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