A conducting square loop with side lengths of L is initially in a magnetic field

Q: A conducting square loop with side lengths of L is initially in a magnetic field

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

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

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

the induced EMF = dphi /dt = 0.19 V

the current in the loop , I = V /R

I = 0.019 A

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

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A conducting square loop with side lengths of L is initially in a magnetic field

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