A flat loop of wire consisting of a single turn of cross-sectional area 7.10 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.50 T in 1.03 s. What is the resulting induced current if the loop has a resistance of 1.60

The resulting induced current if the loop has a resistance of 1.60 is 0.43 mA

Explanation:

First, we will determine the induced emf. The emf is given by

Where is the number of turns

is the change in magnetic flux

and is the change in time

The change in magnetic flux is given by

Where is the final magnetic flux

and is the initial magnetic flux

The magnetic flux is given by

Where is the magnitude of magnetic field

and is the area

Therefore,

From the question

∴

From the question

Hence,

becomes

Now, to determine the induced current

From Ohm's law

Where is the current

and is the resistance

∴

From the question

Hence,

Hence, the resulting induced current if the loop has a resistance of 1.60 is 0.43 mA.

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