Two solenoids A and B, spaced close to each other and sharing thesame cylindrica

Question

Two solenoids A and B, spaced close to each other and sharing thesame cylindrical axis, have 450 and 750 turns, respectively. A currentof 4.00 A in coil A produces anaverage flux of 300 µT·m2 througheach turn of A and a flux of 90.0 µT·m2 througheach turn of B. (a) Calculate the mutual inductance of the two solenoids.
mH
(b) What is the self-inductance of A?
mH
(c) What emf is induced in B when the current in A increases at therate of 0.500 A/s?
mV (a) Calculate the mutual inductance of the two solenoids.
mH
(b) What is the self-inductance of A?
mH
(c) What emf is induced in B when the current in A increases at therate of 0.500 A/s?
mV

Explanation / Answer

given current in coil A is I1 = 4.00 A number of turns of coil A N1 = 450 number of turns of coil B N2 = 750 flux through each turn of the A is 1=300*10-6 T.m2 flux through each turn of B is 2 =90*10-6 T.m2 a) the mutual inductance is        M =N22/I1            = --------- b) the self inductance of A is     L1 =N11/I1         = --------- c)    the current in A increases at the rate of dI1/dt = 0.500 A/s emf induced in coil B is 2 =-M*dI1/dt                                         = ------------

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