Bob\'s magnetic field passes at Amy\'s circuit. His magnetic field is uniform in
ID: 1471310 • Letter: B
Question
Bob's magnetic field passes at Amy's circuit. His magnetic field is uniform in space but is increasing with time according to the following function: B(t)=0.05t^2. The magnetic field is oriented so that it points into the page in Amy's circuit. (b) determine the magnetic flux, magnetic flux=integral B•da through Amy's circuit as a function of time. (c) use Faraday's Law to determine the magnitude of the induced end, in volts, at the time t=25s. (d)use right hand rule and Lenz's Law to find direction of emf. Describe it as counterclockwise or clockwise relative to the image above.Explanation / Answer
a) I = V/R
= 1.5/10
= 0.15 A
b) magnetic flux through loop, = B*da
= 0.05*t^2*0.4*0.3
= 0.006*t^2
c) induced emf = the rate of change of magnetic flux through the loop
= 0.006*2*t
= 0.012*t
at t = 25s
induced emf = 0.012*25
= 0.3 volts
d)the direction of induced emf is counter clockwise.
beacsue as the time passes magentic flux through the loop is increasing. According to lenz's law the induced direction of
current is always oppsoses the change in magnetic flux.
so, the direction of induced magnetic field must be out of the page.
so, induced current must be counetr clockwise.