A 300 turn solenoid with a length of 20cm and a radius of1.5cm carries a current

Question

A 300 turn solenoid with a length of 20cm and a radius of1.5cm carries a current of 2.0A. A second coil of 4turns is wrapped tightly about this solenoid so that it canbe considered to have the same radius as the solenoid. Find a- the change in the magnetic flux through thecoil b- the magnitude of the average induced emf in the coilwhen the current in the solenoid increases to 5.0A in aperiod       of 0.90second. A 300 turn solenoid with a length of 20cm and a radius of1.5cm carries a current of 2.0A. A second coil of 4turns is wrapped tightly about this solenoid so that it canbe considered to have the same radius as the solenoid. Find a- the change in the magnetic flux through thecoil b- the magnitude of the average induced emf in the coilwhen the current in the solenoid increases to 5.0A in aperiod       of 0.90second.

Explanation / Answer

(a)    n = 300 / 0.20       = 1500    o = 4 x 10-7 T. m / A    I = 5.0 amps - 3.0 amps    r = 1.5 cm      = 0.015 m    A = r2    from the theory we have the equation    B = o n I    = 0o    so the change in magnetic flux will be    B = B A cos            =.............. T . m2   (b)    N = 4    t = 0.90 s    the magnitude of the average induced emf in thecoil will be    = N B /t       = ……. V    so the change in magnetic flux will be    B = B A cos            =.............. T . m2   (b)    N = 4    t = 0.90 s    the magnitude of the average induced emf in thecoil will be    = N B /t       = ……. V

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