A small rectangular loop of wire is located close to a long straight wire initially carrying a current I = 104 A (see figure below). Find the average emf induced in the loop if the current in the wire reverses direction in a time interval of 1/143 s.

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A small rectangular loop of wire is located close to a long straight wire initially carrying a current I = 104 A (see figure below). Find the average emf induced in the loop if the current in the wire reverses direction in a time interval of 1/143 s. 

 
 

 

magnitude   
direction
I
1.0 mm
10 cm
10 сm
Transcribed Image Text:I 1.0 mm 10 cm 10 сm
Expert Solution
Step 1

Given,

Current flowing in the wire is i=104A

 

From the figure,

A rectangular loop is situated at a distance of 10 cm from the wire.

So, separation between the wire and loop is d=10cm=0.1m

And the area of the loop is

A=1mm×10cm=1×10-3m×0.1m=10-4m2

So magnetic flux passing through the wire is

φ=BA

Where B is the magnetic field due to wire.

Then emf induced in the loop will be

ε=-dφdt=-AdBdt      .........1

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