The magnetic field B (into the page) increases with time as (0.03t+0.5)T. The ra
ID: 1473304 • Letter: T
Question
The magnetic field B (into the page) increases with time as (0.03t+0.5)T. The radius of the wire loop is 5 cm and there are 100 turns.
a) What is the total magnetic flux through the loops at t = 1.0 s?
b) What is the magnitude of the mef induced at t = 2.0 s (remember, induced emf is given by the rate of change of flux).
c) What is the direction of current flow through the resistor (right to left OR left to right).
4. The magnetic field B (into the page) increases with time as (0.03 0.5) T. The radius of the wire loop is 5 cm and there are 100 turns. (a) What is the total magnetic flux through the loops at 1-1.0 s? (b) What is the magnitude of the emf induced att 2.0 s (remember, induced emf is given by the rate of change of flux) (c) What is the direction ofcurent flow through the resistor (right to left OR left to right)Explanation / Answer
Use equation
B= 0.03t+0.5 , r= 0.05m , N= 100
e = N*d/dt = NA*dB/dt
= B*A = (0.03t+0.5)*r^2 = (0.03*1+0.5)*3.14*0.05^2 = 0.004 Tm^2
b) For t=2s
e = N*d/dt = NA*dB/dt = NA*d[(0.03*1+0.5)]/dt = NA*(0.03) = 100*3.14*0.05^2*0.003 = 0.0024 V
c) By Lenz law, direction of current - left to right
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