Question

Магнитный поток, пронизывающий контур проводника, равномерно изменился 0,6 Вб так, что ЭДС индукция оказалась равной 1.2В. Найдите время изменения потока, силу индукционного тока, если сопротивления проводника 0.24 ОМ

Answer 1

Магнитный поток, пронизывающий контур проводника, равномерно изменился 
ΔФ= 0,6 Вб так, что ЭДС индукция оказалась равной ε=1.2В. Найдите время изменения потока, силу индукционного тока, если сопротивления проводника R=0.24 ОМ   Δt - ?

I=ε/R  где ε=ΔФ/Δt

I=ΔФ/R*Δt
Δt=ΔΦ/R*I=0,6/0,24*1,2=2,08 с

Answer 2

Calculating Time of Change in Magnetic Flux

To find the time of change in magnetic flux, we can use Faraday's law of electromagnetic induction, which states that the induced electromotive force (EMF) in any closed circuit is equal to the rate of change of the magnetic flux through the circuit.

The formula for Faraday's law is:

EMF = -N * ΔΦ / Δt

Where: - EMF is the induced electromotive force (in volts) - N is the number of turns in the coil - ΔΦ is the change in magnetic flux (in webers) - Δt is the change in time (in seconds)

Given that the induced EMF is 1.2V and the change in magnetic flux is 0.6Wb, we can rearrange the formula to solve for Δt:

Δt = -N * ΔΦ / EMF

Let's calculate the time of change in magnetic flux using the provided values.

Calculating Time of Change in Magnetic Flux: ``` EMF = 1.2V ΔΦ = 0.6Wb N = 1 (assuming a single-turn coil) Δt = -N * ΔΦ / EMF Δt = -(1) * (0.6) / (1.2) Δt = -0.5 seconds ``` The time of change in magnetic flux is 0.5 seconds.

Calculating Induced Current

To calculate the induced current, we can use Ohm's law and the formula for EMF in a circuit.

Ohm's law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) between them. The formula is:

V = I * R

Where: - V is the voltage (in volts) - I is the current (in amperes) - R is the resistance (in ohms)

Given that the resistance of the conductor is 0.24Ω and the induced EMF is 1.2V, we can rearrange the formula to solve for the induced current (I):

I = V / R

Let's calculate the induced current using the provided values.

Calculating Induced Current: ``` V = 1.2V R = 0.24Ω I = V / R I = 1.2 / 0.24 I = 5 amperes ``` The induced current is 5 amperes.