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Question 4 15 points] Multiple choice questions: Circle the correct response. Three pieces of wire (of the same material) are shown on the figure. Rank the wires by the current that results if you connect them to a 12 V battery. i. in iB ic iii. iB in ic iv. ic iA iB ics iB 3L 2D

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Answer #1

resistance R= \rho L/A

\rho= resistivity and is same for all the three.L= length and A = area

for A, r1= \rhoL/pi(0.5 D)2.

r1=4\rho L/pi D2.

r2= \rho(2L)/pi(0.5 D)2.

r2=8\rho L/pi D2.

r3= \rho(3L)/pi( D)2.

r3=3\rho L/pi D2.

so r2 >r1>r3

now current= i/r

so the resistor which as more resistance will have less current.

so ic>ia>ib

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