Sinusoidal current - class-X

Given, V =220 volts, f=50 Hz, L =0.2 H, R = 20 $\Omega$

Reading of ammeter $=I _{rms}=\displaystyle \frac{V _{rms}}{X _C}=\frac{V _0\omega C}{\sqrt 2}$
$=\displaystyle\frac{200\sqrt 2\times 100\times (1\times 10^{-6})}{\sqrt 2}=2\times 10^{-2} A$
$=20 mA$

A bulb is connected to an ideal battery of emf$=10V$

According to Faraday's law of induction, a changing magnetic flux through a coil induces an electromotive force (EMF). In a transformer, the alternating current in the primary coil creates a varying magnetic field that links with the secondary coil.

Answer is C.

An alternating current (AC) is an electric current of which magnitude and direction vary, unlike direct current, whose direction remains constant.
The usual waveform of an AC power circuit is a sine wave, because this leads to the most efficient transmission of energy. However, in certain applications different waveforms are used, such as triangular or square waves.

The expression e = 6sin(wt) + 8cos(wt) can be written as e = 10 * (0.6sin(wt) + 0.8cos(wt)). Using sin(A+B), this is e = 10*sin(wt + alpha), where the amplitude is 10V.

The dsignation rms means Root Mean Square Value of a quantity such as RMS value of current, voltage in an ac circuit.

Solution:-

AC wave can be of any form but mathematical techniques are easier for the sine waveform such as any wave can be represent as combination of sine waves using fourier transform and integration and differentiation of sine wave is sine wave only.

Option B is correct.

Even if it were current-limited, alternating current (AC) would not be appropriate for electrolysis. Because the "cathode" and "anode" will be constantly switching places as the polarities will change with time. Therefore, direct current (DC) is used for electrolysis.

We may say that after every half cycle direction of flow of current is reversed. Because of this reason the current produced by the generator is also called as alternating current.

At resonance, the impedance Z = R. Since V_rms = 24V and I_rms = 6A, R = 24/6 = 4 ohms. When connected to a 12V battery with 4 ohms internal resistance, the total resistance is 4+4 = 8 ohms. Current = V/R_total = 12/8 = 1.5A.

The average value of a symmetric alternating current (like a sine wave) over one full cycle is zero, as the positive and negative half-cycles cancel each other out.

Electroplating and electrolysis require a constant unidirectional current (DC) to ensure metal ions are deposited consistently on the cathode. AC would cause the ions to oscillate back and forth, preventing successful plating.

C

Electric charge in alternating current (AC) changes direction periodically. The voltage in AC circuits also periodically reverses because the current changes direction.

An alternating current is defined by its periodic change in both magnitude and direction over time.

In an R-L series circuit, the phase difference is given by tan(phi) = X_L / R. Since phi = 45 degrees, tan(45) = 1, which implies X_L / R = 1, or X_L = R.