Te EMF Whakaoho i te Aukati Hikohiko – Ngā Raru me ngā Otinga

3 Te EMF Whakaoho Aukume – Ngā Raru me ngā Otinga

1. Kua whakakapia tētahi koiri ki tētahi atu koiri he rua ngā koropiko he nui ake i ngā koropiko tīmatanga, ā, he pumau tonu te tere o te huringa o te rerenga aukume. Whakatauhia te ōwehenga o te emf whakaoho tīmatanga me te emf whakamutunga.

Mōhiotia:

Ngā koropiko tīmatanga (N) = 1

Ngā koropiko whakamutunga (N) = 2

Te tere o te huringa o te rerenga aukume tīmatanga (ΔØ_B / Δt) = te tere o te huringa o te rerenga aukume whakamutunga (ΔØ_B /Δt)

Hiahia: The ratio of initial and final induced emf

Rongoā:

The equation of Faraday’s law of induction :

E = -N (ΔØ_B /Δt)

E = induced EMF, N = number of loops, ΔØ_B / Δt = the rate of change of magnetic flux

The ratio of initial and final induced emf :

E initial: E final

-N (ΔØ_B / Δt) : -N (ΔØ_B /Δt)

1: 2

2. In the initial state (1), the magnetic flux is changed by 5 Wb in 2 seconds on a coil with 20 loops. In the final state (2), the same flux changed in 8 seconds. Determine the ratio of the initially induced emf and the final induced emf.

Mōhiotia:

Te tere o te huringa o te rerenga aukume tīmatanga (ΔØ_B / Δt) = 5/2

The rate of change of final magnetic flux (ΔØ_B / Δt) = 5/8

Number of loops (N) = 20

Hiahia: The ratio of the initially induced emf and the final induced emf

Rongoā:

E initial: E final

-N (ΔØ_B / Δt) : -N (ΔØ_B /Δt)

20 (5/2) : 20 (5/8)

5/2: 5/8

1/1: 1/4

4: 1

3. The magnetic flux of the initial coil has 200 loops changes by 0.06 Wb in 0.4 seconds. The magnetic flux of the final coil has 0.08 Wb in 0.2 seconds. If several loops of the final coils are substituted with the half number of the first coil’s loops, determine the ratio of the induced emf of the initial loops and the final loops.

Mōhiotia:

Te tere o te huringa o te rerenga aukume tīmatanga (ΔØ_B / Δt) = 0.06 / 0.4

Number of initial loops (N) = 200

The rate of change of final magnetic flux (ΔØ_B / Δt) = 0.08 / 0.2

Number of final loops (N) = 100

E hiahiatia ana: The ratio of the initial induced emf and the final induced emf

Rongoā:

E initial : E final

-N (ΔØ_B / Δt) : -N (ΔØ_B /Δt)

200 (0.06/0.4) : 100 (0.08/0.2)

2 (0.15) : 1 (0.4)

0.3: 0.4

3: 4