(a) A coil of conducting wire carries a current of i(t) = 15.0 sin(1.05 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 190 μH. What is the peak emf (in V) in the second coil? v (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? Doubling the mutual inductance would lead to a larger peak emf. Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. The two changes would each have the same effect.

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(a) A coil of conducting wire carries a current of i(t) = 15.0 sin(1.05 x 10³t), where i is in amperes and t is in seconds. A
second coil is placed in close proximity to the first, and the mutual inductance of the coils is 190 μH. What is the peak emf
(in V) in the second coil?
v
(b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the
frequency with which the current in the first coil changes?
Doubling the mutual inductance would lead to a larger peak emf.
Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf.
The two changes would each have the same effect.
Transcribed Image Text:(a) A coil of conducting wire carries a current of i(t) = 15.0 sin(1.05 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 190 μH. What is the peak emf (in V) in the second coil? v (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? Doubling the mutual inductance would lead to a larger peak emf. Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. The two changes would each have the same effect.
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