Answer:
Emf through a single coil of wire is 588 V.
Step-by-step explanation:
We need to find the emf through a single coil of wire if the magnetic flux changes from -57 Wb to +43 Wb in 0.17 s
According to Faraday's law, emf of coil is directly proportional to the rate of change of magnetic flux. It can be written as :
![\epsilon=(d\phi)/(dt)](https://img.qammunity.org/2020/formulas/physics/college/hhs4t9n0fk05cbi6zh6mdf5r3xdxfjkfrc.png)
Initial flux,
![\phi_1=-57\ Wb](https://img.qammunity.org/2020/formulas/physics/college/ot79w28cc27yxksjgij42efqvja08y7huo.png)
Final flux,
![\phi_2=+43\ Wb](https://img.qammunity.org/2020/formulas/physics/college/qa5njhpfrdohm66vkqsfxvcmsze68w2luu.png)
So,
![\epsilon=(\phi_2-\phi_1)/(dt)](https://img.qammunity.org/2020/formulas/physics/college/rmuk9zjiiu0aua7s5j332cren72fkdn68p.png)
![\epsilon=(43\ Wb-(-57\ Wb))/(0.17\ s)](https://img.qammunity.org/2020/formulas/physics/college/q6rcilxkcda2h66stczgty61bn78p7unz0.png)
![\epsilon=588.23\ V](https://img.qammunity.org/2020/formulas/physics/college/2vft552orkv086669he9o3943fsfd9c9xq.png)
or
![\epsilon=588\ V](https://img.qammunity.org/2020/formulas/physics/college/vl1h3cwp60up7asosyrem2wr66oaqv1tdi.png)
So, the EMF through a single coil of wire is 588 V. Hence, this is the required solution.