A piece of 22-gauge wire that is 10 meters long has an electric resistance of 46

Question

A piece of 22-gauge wire that is 10 meters long has an electric resistance of 46. The radius of 22-gauge wire is 0.321 mm. What is the resistivity of this wire? a. 1.5 times 10^-6 m. b. 4.6 times 10_-3 m. c. 4.7 times 10^-7 m d. 0.14 m. e. 2.6 times 10^-8 m 6. Two conducting spheres are far apart. The smaller sphere carries a total charge Q. The larger has a radius that is twice that of the smaller sphere and is initially neutral. After the two spheres are connected by a conducting wire, the charge distribution for the spheres will be: a. Q/2 on the smaller sphere and Q/2 on the larger sphere. b. Q/3 on the smaller sphere and 2Q/3 on the larger sphere. c. 2Q/3 on the smaller sphere and Q/3 on the larger sphere. d. zero on the smaller sphere and Q on the larger sphere.. 2Q on the smaller sphere and -Q on the larger sphere. 7. A charge, +Q, is placed inside a balloon and the balloon is inflated. As the radius of the balloon r increases the number of field lines going through the surface of the balloon: a. increases proportional to r^2. b. increases proportional to r. c. stays the same. d. decreases as l/r. e. decreases as l/r^2. 8. A charge of +3.0 muC is placed at the origin and a charge of +8.0 (iC is placed at x = 2.0 m, as shown in the figure to the right. Which of the following statements is true? a) There is a location to the left of the origin where a negative charge feels no force. b) There is a location to the right of x = 2.0 m where a negative charge feels no force. c) A negative charge placed at x = 1.0 in feels no force. d) There is a location between the origin and x = 1.0 m where a negative charge feels no force.

Explanation / Answer

(5)

R = rho L/ pi r^2

rho = R ( pi r^2)/ L

=46( pi (0.321 * 10^-3)^2/10

=1.5 * 10^-6 ohm . m

option (a) is correct

(6)

Q ( small)/ r = Q ( large)/ 2r

Q( large) = 2Q ( small)

Q(large)+Q(small) = Q

2Q ( small)+Q(small) = Q

Q(small) = Q/3

Q(large)+ Q/3= Q

Q(large = Q-Q/3 = 2Q/3

option (b) is correct

(7)

from the Gauss law

the net flux depens on the charge but not on distance so

net flux will stay constant

option (c) is correct

As per guide lines I worked first three parts please post remaining questions in the next time

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