A conducting square loop with side lengths of L is initially in a magnetic field
ID: 2033958 • Letter: A
Question
A conducting square loop with side lengths of L is initially in a magnetic field with a strength of 0.5 T directed out of the page as shown in the diagram below. The field strength changes to a value of B during 0.5 seconds.
a) What is the change in flux? Assign a value to L (0.25 m) and B (2.0 T)
b) What is the induced emf (4 points)?
c) If the total resistance of the loop is R, what is the current in the loop? Assign a value for R (10 ?)
d) What is the direction of the current through the resistor?
Explanation / Answer
here,
initial magnetic feild , B0 = 0.5 T
t = 0.5 s
a)
the change in flux , dphi = dB * area
dphi = L^2 * (B - B0) = 0.25^2 * (2 - 0.5) T.m^2
dphi = 0.094 T.m^2
b)
the induced EMF = dphi /dt = 0.19 V
c)
the current in the loop , I = V /R
I = 0.019 A
d)
as the magnetic flux is increasing in the loop
usinh lenz's law
the indued current is so that the magnetic fluz is decreased
so,
the induced current is CLOCKWISE