Multiple-Choice Homework Problem 12.6 The two finite solenoids in the figure are
ID: 1352179 • Letter: M
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Multiple-Choice Homework Problem 12.6 The two finite solenoids in the figure are moving toward one another. The left solenoid is powered by a battery producing a nearly constant cur rent. Is a current induced in the right solenoid? If a current is induced, what is the direction of the induced current in the right solenoid as the current flows through the resistor R2 connected to the right solenoid? Select One of the Following: (a) The current is zero. (b) to the left of the page (c) to the right of the page Multiple-Choice Homework Problem 12.7 The magnetic field at the right is increasing in strength. What is the direction of the induced current in the conducting loop (dark circle) shown on the diagram? Select One of the Following: (a) clockwise (b) counterclockwise (c) There is no induced current. Multiple-Choice Homework Problem 12.8 A solenoid has 25turns and a radius of 1cm. It is at the equator, where the earth?s magnetic field is 7 x 10^-5T directly horizontally north. Determine the magnetic flux through the solenoid for the following three orientations of the solenoid axis. (1)Axis is directed vertically, (2) Axis pointing north/south, north, and (3) Axis pointing east/west, east Select One of the Following:Explanation / Answer
(a) Option (c) is correct
From Faraday's law whenever the flux of magnetic filed through the area bounded by a closed conducting loop changes, an emf is produced in the loop.
Emf =-d(phi)/dt = -Ldi/dt
(2) Correct option is (b)
emf = -d(phi)/dt = -d(BA)/dt
From Lenz's law, the direction of the induced current is such that it opposes the change that has induced it.
Magnetic filed is out of page, so he indcued current is along counter clock wise
(3) Correct option is (a)
B = 7x10^-5 T, n =250 turns, r =1cm
FLux = nBA = (7x10-7)(250x3.14x0.01x0.01)
= 5.5x10-6 Wb
radius is along east, E is along north, flux is along vertical
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