Electromagnetic Induction Test. 2

Mutual inductance depends on the number of turns, area, and length of the coils, as well as their proximity and relative orientation.

The induced EMF is proportional to sin(ωt), where ωt is the angle of the coil, resulting in a sinusoidal alternating voltage.

To 'step up' the voltage, the secondary coil must have more turns to link with more of the changing magnetic flux.

The split-ring commutator reverses the connection to the external circuit every half rotation, which converts the internal AC into a pulsating DC output.

For an ideal transformer, power in equals power out (Pp = Ps), so Vp * Ip = Vs * Is. If Vs > Vp, then Is must be less than Ip.

To oppose the approaching north pole, the induced current creates a north pole on that face, causing repulsion.

Using the formula |ε| = L |ΔI/Δt|. First, convert inductance L = 50 mH = 0.05 H. The change in current ΔI = 4 A - 0 A = 4 A. So, |ε| = 0.05 H * (4 A / 0.01 s) = 0.05 * 400 = 20 V.

The peak voltage is V_peak = V_rms * √2. So, V_peak = 230 V * 1.414 ≈ 325 V.

An inductor stores energy in the magnetic field created by the current flowing through it. The formula is E = (1/2)LI².

In an induction furnace, a strong alternating magnetic field induces large eddy currents in the metal, and the resistance to these currents generates immense heat, melting the metal.

According to the formula ε = -N(dΦ/dt), the induced EMF is directly proportional to the number of turns, N.

The law explicitly states that the magnitude of the induced EMF is directly proportional to how quickly the magnetic flux changes over time (dΦ/dt).

The core is made of thin iron sheets insulated from each other. This breaks up the paths for large eddy currents, significantly reducing their magnitude and the associated energy loss.

The primary function of a transformer is to step up (increase) or step down (decrease) AC voltages based on the ratio of turns in its coils.

This equation correctly shows that the ratio of the voltages is equal to the ratio of the number of turns in the respective coils.

The energy stored in an inductor is given by E = (1/2)LI². So, E = (1/2) * (8.0 H) * (5.0 A)² = 4 * 25 = 100 J.

The induced EMF in the secondary coil is given by |ε_s| = M |ΔI_p/Δt|. So, |ε_s| = (0.5 H)(8 A/s) = 4 V.

Eddy currents are a direct result of Faraday's law of induction, which requires a time-varying magnetic flux within the bulk of a conductor.

Using the transformer equation: Vs = Vp x (Ns/Np) = 240 x (50/200) = 60 V.

50 Hz is the standard mains frequency for AC power in Pakistan, Europe, and many other parts of the world.