Question

Через контур проводника сопротивлением 0,06 Ом проходит магнитный поток, который за 4 секунды изменился на 0,012 Вб. Найдите силу тока в проводнике, если изменение потока происходит равномерно.

Answer 1

Ответ:

0.5 A

Объяснение:

R=0.06 Ом    Δt=4 c    ΔФ=0,012 Вб     I=?

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ЭДС  

E=ΔФ/Δt=I*R

I=ΔФ/(R*Δt)=0.012/(0.06*4)=0.5 A

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Answer 2

Given Information:

- Resistance of the conductor: 0.06 Ω - Change in magnetic flux: 0.012 Wb - Time taken for the change: 4 seconds

Calculation:

To find the current flowing through the conductor, we can use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across the conductor divided by the resistance (R) of the conductor.

In this case, the voltage across the conductor can be calculated using Faraday's Law of Electromagnetic Induction, which states that the induced electromotive force (EMF) is equal to the rate of change of magnetic flux through a circuit.

The formula for calculating the induced EMF is:

EMF = -dΦ/dt

Where: - EMF is the induced electromotive force - dΦ/dt is the rate of change of magnetic flux

In this case, the change in magnetic flux is given as 0.012 Wb and the time taken for the change is 4 seconds. Therefore, the rate of change of magnetic flux is:

dΦ/dt = (ΔΦ) / (Δt) = 0.012 Wb / 4 s = 0.003 Wb/s

Now, we can calculate the voltage across the conductor using the formula:

V = EMF = -dΦ/dt

Substituting the values, we get:

V = -0.003 Wb/s

Finally, we can calculate the current flowing through the conductor using Ohm's Law:

I = V / R

Substituting the values, we get:

I = (-0.003 Wb/s) / (0.06 Ω) = -0.05 A

Since current is a scalar quantity, we take the magnitude of the calculated value:

I = 0.05 A

Therefore, the current flowing through the conductor is 0.05 Amperes.

Note: The negative sign indicates that the direction of the current is opposite to the direction of the change in magnetic flux.