3. (20 points) A toroid has a radius of 0.5 m and cross sectional area 104 m². The total number of turns of wire is N= 1000. The current in the wire is I = 0.01 sin (100t). = 4 x 10-7 in our SI units. a) Find the magnetic field B(t) inside the toroid. b) Find the magnetic flux (t) inside the toroid. c) Express the induced voltage on one turn of the wire, in terms of dl/dt. What is the inductance L, for one turn of the wire? d) What is the inductance L for the whole toroid? e) What is the induced voltage V(t) for the whole toroid? Take 0⁰0000000
3. (20 points) A toroid has a radius of 0.5 m and cross sectional area 104 m². The total number of turns of wire is N= 1000. The current in the wire is I = 0.01 sin (100t). = 4 x 10-7 in our SI units. a) Find the magnetic field B(t) inside the toroid. b) Find the magnetic flux (t) inside the toroid. c) Express the induced voltage on one turn of the wire, in terms of dl/dt. What is the inductance L, for one turn of the wire? d) What is the inductance L for the whole toroid? e) What is the induced voltage V(t) for the whole toroid? Take 0⁰0000000
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Transcribed Image Text:3. (20 points) A toroid has a radius of 0.5 m and cross sectional
area 104 m². The total number of turns of wire is N= 1000. The
current in the wire is I = 0.01 sin (100t). = 4 x 10-7 in our
SI units.
a) Find the magnetic field B(t) inside the toroid.
b) Find the magnetic flux B (t) inside the toroid.
c) Express the induced voltage on one turn of the wire, in terms
of dI/dt. What is the inductance L, for one turn of the wire?
d) What is the inductance L for the whole toroid?
e) What is the induced voltage V(t) for the whole toroid? Take
00000000
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