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A thin Nichrome wire connected to an ammeter surrounds a region of time-varying magnetic flux, and the ammeter reads 13 amperes. If instead of a single wire we use a coil of thin Nichrome wire containing 23 turns, what does the ammeter read?

Respuesta :

Answer:

The current would be same in both situation.

Explanation:

Given that,

Current I = 13 A

Number of turns = 23

We need to calculate the induced emf

Using formula of induced emf is

[tex]\epsilon=NA\dfrac{dB}{dt}[/tex]

For N = 1

[tex]\epsilon=A\dfrac{dB}{dt}[/tex]

We need to calculate the current

Using formula of current

[tex]i=\dfrac{\epsilon}{R}[/tex]

Put the value of emf

[tex]i=\dfrac{A\dfrac{dB}{dt}}{R}[/tex]

Now, if the number of turn is 22 , then induced emf would be

[tex]\epsilon'=NA\dfrac{dB}{dt}[/tex]

Then the current would be

[tex]i'=\dfrac{\epsilon'}{NR}[/tex]

[tex]i'=\dfrac{NA\dfrac{dB}{dt}}{NR}[/tex]

[tex]i'=\dfrac{A\dfrac{dB}{dt}}{R}[/tex]

[tex]i'=i[/tex]

Hence, The current would be same in both situation.