wire with resistivity ρ (resistance per unit length) is bended in a way to form a shape like bb-8 in the movie Star Wars. (See the figure on the right.) We can approximate it as two circles of radius R and 2R lying in the same plane. Note the wire has an insulating shell, and it crosses over itself at joint of the two circles. The wire is then placed in a magnetic field that is spatially uniform, but increases its magnitude over time with B = bt, where b is a constant of appropriate dimension. (a) What is the total resistance of th
A wire with resistivity ρ (resistance per unit length) is bended in a way to form a shape like bb-8 in the movie Star Wars. (See the figure on the right.) We can approximate it as two circles of radius R and 2R lying in the same plane. Note the wire has an insulating shell, and it crosses over itself at joint of the two circles. The wire is then placed in a magnetic field that is spatially uniform, but increases its magnitude over time with B = bt, where b is a constant of appropriate dimension.
-
(a) What is the total resistance of the wire? Express your answer in terms of ρ and R.
-
(b) What is the emf induced in the upper circle? In which direction? Express your answer in terms of R and b.
-
(c) What is the emf induced in the lower circle? In which direction? Express your answer with R and b.
-
(d) Find the net induced current flowing in the wire. Also specify the direction of the induced current. (It is better to indicate the direction by drawing arrows on the figure directly.) Express your answer in terms of R, ρ and b.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
