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Maximum emf in the second coil when the current in the first is I0 sin(wt)

The same question, asked 5 times: 9 May 2023 S1*, 10 May 2023 S1*, 9 May 2024 S2*, 12 May 2024 S1*, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    21
    Two coils have a mutual inductance 5×10−3 H5 \times 10^{-3}\,\text{H}. The current changes in the first coil according to the equation I1=I0sin⁡ωtI_1 = I_0\sin\omega t where I0=10 AI_0 = 10\,\text{A} and ω=100π rad/s\omega = 100\pi\,\text{rad/s}. What is the value of the maximum e.m.f. in the coil?

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  2. Question 2

    10 May 2023 S1

    23
    Two coils have a mutual inductance 0.003 H. The current changes in the first coil according to equation I=I0sin⁡ωtI=I_0\sin\omega t, where I0=8 AI_0=8\,\text{A} and ω=100π rad s−1\omega=100\pi\,\text{rad\,s}^{-1}. The maximum value of e.m.f. in the second coil is

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  3. Question 3

    9 May 2024 S2

    1
    Two coils A and B have mutual inductance 0.0080.008 H. The current changes in the coil A, according to the equation I=Imsin⁡ωtI = I_m \sin\omega t, where Im=5I_m = 5 A and ω=200π\omega = 200\pi rad s−1^{-1}. The maximum value of the e.m.f. induced in the coil B in volt is

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  4. Question 4

    12 May 2024 S1

    50
    Two coils have a mutual inductance of 0.004 H. The current changes in the first coil according to equation I=I0sin⁡ωtI=I_{0}\sin\omega t, where I0=10 AI_{0}=10\,\text{A} and ω=50π rad s−1\omega=50\pi\,\text{rad\,s}^{-1}. The maximum value of e.m.f. in the second coil in volt is

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  5. Question 5

    18 Apr 2026 S1

    136
    Two coils have a mutual inductance of 0.0050.005 H. The current changes in the first coil according to equation I=I0sin⁡ωtI = I_0\sin\omega t, where I0=10I_0 = 10 A and ω=60π rad s−1\omega = 60\pi\ \mathrm{rad\,s^{-1}}. The maximum values of e.m.f. in the second coil in volt will be

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