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During a 78-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 4.1-mA current in a nearby secondary coil. The secondary coil is part of a circuit in which the resistance is 12 Ω. The mutual inductance between the two coils is 3.2 mH. What is the change in the primary current?

Respuesta :

Answer:

1.2 A

Explanation:

We are given that

Time, dt=78 ms=[tex]78\times 10^{-3}s[/tex]

[tex]1 ms=10^{-3} s[/tex]

[tex]I_s=4.1mA=4.1\times 10^{-3} A[/tex]

[tex]1 mA=10^{-3}A[/tex]

[tex]R=12\Omega[/tex]

[tex]M=3.2mH=3.2\times 10^{-3} H[/tex]

We have to find the change in the primary current.

[tex]V_s=I_sR=4.1\times 10^{-3}\times 12=49.2\times 10^{-3} V[/tex]

[tex]V_s=M\frac{dI}{dt}[/tex]

[tex]dI=\frac{V_sdt}{M}=\frac{49.2\times 10^{-3}\times 78\times 10^{-3}}{3.2\times 10^{-3}}[/tex]

[tex]dI=1.2 A[/tex]